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 3949/458, 9307/3148

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 3949/458, 9307/3148 i.e 1/720892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3949/458, 9307/3148.

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 3949/458,9307/3148?

Given fractions are 3949/458,9307/3148

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 3949/458,9307/3148, numerators are 3949,9307

Denominators are 458,3148

The GCF of 3949,9307 is 1 .

LCM of 458,3148 is 720892.

The greatest common factor of 3949/458,9307/3148 = [GCF of 3949,9307]/[LCM of 458,3148]= 1/720892

Therefore, the GCF of 3949/458,9307/3148 is 1/720892.

Greatest Common Factor of 3949,9307

To find the highest common factor of 3949,9307, we have to find the factors of both numbers and list the highest common factor.

The factors of 3949 are 1, 11, 359, 3949

The factors of 9307 are 1, 41, 227, 9307

The HCF of 3949,9307 is 1.

Lets's calculate GCF of 3949,9307

Greatest Common Factor (GCF) of 3949,9307 By Common Division

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

Greatest Common Factor of 3949,9307 By Matching Biggest Common Factor Method

Greatest Common Factor of 3949,9307 By Matching Biggest Common Factor Method

Now, list down the factors of 3949

:

1,11,359,3949

Now, list down the factors of 9307

:

1,41,227,9307

Greatest Common Factor

We found the factors 3949,9307 . The biggest common factor number is the GCF number.
So the greatest common factor 3949,9307 is 1.

Lets's calculate LCM of 458,3148

Lowest Common Multiple of 458,3148 using Common Division

2 458, 3148
229, 1574

∴ So the LCM of the given numbers is 2 x 229 x 1574 = 720892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720892

Therefore, the GCF of Fractions 3949/458,9307/3148 is 1/720892

Least Common Multiple of 458,3148 with GCF Formula

Least Common Multiple of 458,3148 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 458,3148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,3148) = 2

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

GCF(458,3148) x common factors =2 x 1 = 2

LCM(458,3148) = ( 458 × 3148 ) / 2

LCM(458,3148) = 1441784 / 2

LCM(458,3148) = 720892


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3949/458, 9307/3148

1. What is the HCF of 3949,9307?

The HCF of 3949,9307 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 3949/458, 9307/3148?

Answer: GCF of Numerators as per given numbers 3949/458, 9307/3148 is

GCF of Numerators i.e. for 3949,9307 is 1

LCM of denominators i.e. for 458,3148 is 720892.

Thus, GCF of Fractions is 1/720892.Finally, GCF of Fractions for 3949/458, 9307/3148 is 1/720892.