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GCF of 7517/256, 6949/8190

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 7517/256, 6949/8190 i.e 1/1048320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7517/256, 6949/8190.

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 7517/256,6949/8190?

Given fractions are 7517/256,6949/8190

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 7517/256,6949/8190, numerators are 7517,6949

Denominators are 256,8190

The GCF of 7517,6949 is 1 .

LCM of 256,8190 is 1048320.

The greatest common factor of 7517/256,6949/8190 = [GCF of 7517,6949]/[LCM of 256,8190]= 1/1048320

Therefore, the GCF of 7517/256,6949/8190 is 1/1048320.

Greatest Common Factor of 7517,6949

To find the highest common factor of 7517,6949, we have to find the factors of both numbers and list the highest common factor.

The factors of 7517 are 1, 7517

The factors of 6949 are 1, 6949

The HCF of 7517,6949 is 1.

Lets's calculate GCF of 7517,6949

Greatest Common Factor (GCF) of 7517,6949 By Common Division

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

Greatest Common Factor of 7517,6949 By Matching Biggest Common Factor Method

Greatest Common Factor of 7517,6949 By Matching Biggest Common Factor Method

Now, list down the factors of 7517

:

1,7517

Now, list down the factors of 6949

:

1,6949

Greatest Common Factor

We found the factors 7517,6949 . The biggest common factor number is the GCF number.
So the greatest common factor 7517,6949 is 1.

Lets's calculate LCM of 256,8190

Lowest Common Multiple of 256,8190 using Common Division

2 256, 8190
128, 4095

∴ So the LCM of the given numbers is 2 x 128 x 4095 = 1048320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1048320

Therefore, the GCF of Fractions 7517/256,6949/8190 is 1/1048320

Least Common Multiple of 256,8190 with GCF Formula

Least Common Multiple of 256,8190 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 256,8190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,8190) = 2

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

GCF(256,8190) x common factors =2 x 1 = 2

LCM(256,8190) = ( 256 × 8190 ) / 2

LCM(256,8190) = 2096640 / 2

LCM(256,8190) = 1048320


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FAQs on GCF of Fractions of 7517/256, 6949/8190

1. What is the HCF of 7517,6949?

The HCF of 7517,6949 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 7517/256, 6949/8190?

Answer: GCF of Numerators as per given numbers 7517/256, 6949/8190 is

GCF of Numerators i.e. for 7517,6949 is 1

LCM of denominators i.e. for 256,8190 is 1048320.

Thus, GCF of Fractions is 1/1048320.Finally, GCF of Fractions for 7517/256, 6949/8190 is 1/1048320.