LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 75/898, 38/150, 427/314

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 75/898, 38/150, 427/314 i.e 1/10573950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/898, 38/150, 427/314.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 75/898,38/150,427/314?

Given fractions are 75/898,38/150,427/314

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 75/898,38/150,427/314, numerators are 75,38,427

Denominators are 898,150,314

The GCF of 75,38,427 is 1 .

LCM of 898,150,314 is 10573950.

The greatest common factor of 75/898,38/150,427/314 = [GCF of 75,38,427]/[LCM of 898,150,314]= 1/10573950

Therefore, the GCF of 75/898,38/150,427/314 is 1/10573950.

Greatest Common Factor of 75,38,427

To find the highest common factor of 75,38,427, we have to find the factors of both numbers and list the highest common factor.

The factors of 75 are 1, 3, 5, 15, 25, 75

The factors of 38 are 1, 2, 19, 38

The factors of 427 are 1, 7, 61, 427

The HCF of 75,38,427 is 1.

Lets's calculate GCF of 75,38,427

Greatest Common Factor (GCF) of 75,38,427 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 75,38,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,38,427 By Matching Biggest Common Factor Method

Now, list down the factors of 75

:

1,3,5,15,25,75

Now, list down the factors of 38

:

1,2,19,38

Now, list down the factors of 427

:

1,7,61,427

Greatest Common Factor

We found the factors 75,38,427 . The biggest common factor number is the GCF number.
So the greatest common factor 75,38,427 is 1.


Lets's calculate LCM of 898,150,314

Lowest Common Multiple of 898,150,314 using Common Division

2 898, 150, 314
449, 75, 157

∴ So the LCM of the given numbers is 2 x 449 x 75 x 157 = 10573950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10573950

Therefore, the GCF of Fractions 75/898,38/150,427/314 is 1/10573950

Least Common Multiple of 898,150,314 with GCF Formula

Least Common Multiple of 898,150,314 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 898,150,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,150,314) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(898,150,314) x common factors =2 x 2 = 4

LCM(898,150,314) = ( 898 × 150 × 314 ) / 4

LCM(898,150,314) = 42295800 / 4

LCM(898,150,314) = 10573950


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 75/898, 38/150, 427/314

1. What is the HCF of 75,38,427?

The HCF of 75,38,427 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 75/898, 38/150, 427/314?

Answer: GCF of Numerators as per given numbers 75/898, 38/150, 427/314 is

GCF of Numerators i.e. for 75,38,427 is 1

LCM of denominators i.e. for 898,150,314 is 10573950.

Thus, GCF of Fractions is 1/10573950.Finally, GCF of Fractions for 75/898, 38/150, 427/314 is 1/10573950.