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GCF of 6269/392, 4808/7931

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 6269/392, 4808/7931 i.e 1/444136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6269/392, 4808/7931.

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 6269/392,4808/7931?

Given fractions are 6269/392,4808/7931

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 6269/392,4808/7931, numerators are 6269,4808

Denominators are 392,7931

The GCF of 6269,4808 is 1 .

LCM of 392,7931 is 444136.

The greatest common factor of 6269/392,4808/7931 = [GCF of 6269,4808]/[LCM of 392,7931]= 1/444136

Therefore, the GCF of 6269/392,4808/7931 is 1/444136.

Greatest Common Factor of 6269,4808

To find the highest common factor of 6269,4808, we have to find the factors of both numbers and list the highest common factor.

The factors of 6269 are 1, 6269

The factors of 4808 are 1, 2, 4, 8, 601, 1202, 2404, 4808

The HCF of 6269,4808 is 1.

Lets's calculate GCF of 6269,4808

Greatest Common Factor (GCF) of 6269,4808 By Common Division

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

Greatest Common Factor of 6269,4808 By Matching Biggest Common Factor Method

Greatest Common Factor of 6269,4808 By Matching Biggest Common Factor Method

Now, list down the factors of 6269

:

1,6269

Now, list down the factors of 4808

:

1,2,4,8,601,1202,2404,4808

Greatest Common Factor

We found the factors 6269,4808 . The biggest common factor number is the GCF number.
So the greatest common factor 6269,4808 is 1.

Lets's calculate LCM of 392,7931

Lowest Common Multiple of 392,7931 using Common Division

7 392, 7931
56, 1133

∴ So the LCM of the given numbers is 7 x 56 x 1133 = 444136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444136

Therefore, the GCF of Fractions 6269/392,4808/7931 is 1/444136

Least Common Multiple of 392,7931 with GCF Formula

Least Common Multiple of 392,7931 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 392,7931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,7931) = 7

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

GCF(392,7931) x common factors =7 x 1 = 7

LCM(392,7931) = ( 392 × 7931 ) / 7

LCM(392,7931) = 3108952 / 7

LCM(392,7931) = 444136


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6269/392, 4808/7931

1. What is the HCF of 6269,4808?

The HCF of 6269,4808 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 6269/392, 4808/7931?

Answer: GCF of Numerators as per given numbers 6269/392, 4808/7931 is

GCF of Numerators i.e. for 6269,4808 is 1

LCM of denominators i.e. for 392,7931 is 444136.

Thus, GCF of Fractions is 1/444136.Finally, GCF of Fractions for 6269/392, 4808/7931 is 1/444136.