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GCF of 6413/635, 7211/9385

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 6413/635, 7211/9385 i.e 1/1191895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6413/635, 7211/9385.

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 6413/635,7211/9385?

Given fractions are 6413/635,7211/9385

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 6413/635,7211/9385, numerators are 6413,7211

Denominators are 635,9385

The GCF of 6413,7211 is 1 .

LCM of 635,9385 is 1191895.

The greatest common factor of 6413/635,7211/9385 = [GCF of 6413,7211]/[LCM of 635,9385]= 1/1191895

Therefore, the GCF of 6413/635,7211/9385 is 1/1191895.

Greatest Common Factor of 6413,7211

To find the highest common factor of 6413,7211, we have to find the factors of both numbers and list the highest common factor.

The factors of 6413 are 1, 11, 53, 121, 583, 6413

The factors of 7211 are 1, 7211

The HCF of 6413,7211 is 1.

Lets's calculate GCF of 6413,7211

Greatest Common Factor (GCF) of 6413,7211 By Common Division

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

Greatest Common Factor of 6413,7211 By Matching Biggest Common Factor Method

Greatest Common Factor of 6413,7211 By Matching Biggest Common Factor Method

Now, list down the factors of 6413

:

1,11,53,121,583,6413

Now, list down the factors of 7211

:

1,7211

Greatest Common Factor

We found the factors 6413,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 6413,7211 is 1.

Lets's calculate LCM of 635,9385

Lowest Common Multiple of 635,9385 using Common Division

5 635, 9385
127, 1877

∴ So the LCM of the given numbers is 5 x 127 x 1877 = 1191895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1191895

Therefore, the GCF of Fractions 6413/635,7211/9385 is 1/1191895

Least Common Multiple of 635,9385 with GCF Formula

Least Common Multiple of 635,9385 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 635,9385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,9385) = 5

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

GCF(635,9385) x common factors =5 x 1 = 5

LCM(635,9385) = ( 635 × 9385 ) / 5

LCM(635,9385) = 5959475 / 5

LCM(635,9385) = 1191895


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FAQs on GCF of Fractions of 6413/635, 7211/9385

1. What is the HCF of 6413,7211?

The HCF of 6413,7211 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 6413/635, 7211/9385?

Answer: GCF of Numerators as per given numbers 6413/635, 7211/9385 is

GCF of Numerators i.e. for 6413,7211 is 1

LCM of denominators i.e. for 635,9385 is 1191895.

Thus, GCF of Fractions is 1/1191895.Finally, GCF of Fractions for 6413/635, 7211/9385 is 1/1191895.