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 457/42, 915/138

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 457/42, 915/138 i.e 1/966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/42, 915/138.

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 457/42,915/138?

Given fractions are 457/42,915/138

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 457/42,915/138, numerators are 457,915

Denominators are 42,138

The GCF of 457,915 is 1 .

LCM of 42,138 is 966.

The greatest common factor of 457/42,915/138 = [GCF of 457,915]/[LCM of 42,138]= 1/966

Therefore, the GCF of 457/42,915/138 is 1/966.

Greatest Common Factor of 457,915

To find the highest common factor of 457,915, we have to find the factors of both numbers and list the highest common factor.

The factors of 457 are 1, 457

The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915

The HCF of 457,915 is 1.

Lets's calculate GCF of 457,915

Greatest Common Factor (GCF) of 457,915 By Common Division

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

Greatest Common Factor of 457,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,915 By Matching Biggest Common Factor Method

Now, list down the factors of 457

:

1,457

Now, list down the factors of 915

:

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 457,915 . The biggest common factor number is the GCF number.
So the greatest common factor 457,915 is 1.

Lets's calculate LCM of 42,138

Lowest Common Multiple of 42,138 using Common Division

2 42, 138
3 21, 69
7, 23

∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 = 966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/966

Therefore, the GCF of Fractions 457/42,915/138 is 1/966

Least Common Multiple of 42,138 with GCF Formula

Least Common Multiple of 42,138 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 42,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,138) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(42,138) x common factors =6 x 1 = 6

LCM(42,138) = ( 42 × 138 ) / 6

LCM(42,138) = 5796 / 6

LCM(42,138) = 966


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 457/42, 915/138

1. What is the HCF of 457,915?

The HCF of 457,915 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 457/42, 915/138?

Answer: GCF of Numerators as per given numbers 457/42, 915/138 is

GCF of Numerators i.e. for 457,915 is 1

LCM of denominators i.e. for 42,138 is 966.

Thus, GCF of Fractions is 1/966.Finally, GCF of Fractions for 457/42, 915/138 is 1/966.