How to Find GCF of 6527/521, 2651/8704?

GCF of 6527/521, 2651/8704

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 6527/521, 2651/8704 i.e 1/4534784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6527/521, 2651/8704.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6527/521,2651/8704?

Given fractions are 6527/521,2651/8704

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 6527/521,2651/8704, numerators are 6527,2651

Denominators are 521,8704

The GCF of 6527,2651 is 1 .

LCM of 521,8704 is 4534784.

The greatest common factor of 6527/521,2651/8704 = [GCF of 6527,2651]/[LCM of 521,8704]= 1/4534784

Therefore, the GCF of 6527/521,2651/8704 is 1/4534784.

Greatest Common Factor of 6527,2651

To find the highest common factor of 6527,2651, we have to find the factors of both numbers and list the highest common factor.

The factors of 6527 are 1, 61, 107, 6527

The factors of 2651 are 1, 11, 241, 2651

The HCF of 6527,2651 is 1.

Lets's calculate GCF of 6527,2651

Greatest Common Factor (GCF) of 6527,2651 By Common Division

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

Greatest Common Factor of 6527,2651 By Matching Biggest Common Factor Method

Now, list down the factors of 6527

1,61,107,6527

Now, list down the factors of 2651

1,11,241,2651

Greatest Common Factor

We found the factors 6527,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 6527,2651 is 1.

Lets's calculate LCM of 521,8704

Lowest Common Multiple of 521,8704 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4534784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4534784

Therefore, the GCF of Fractions 6527/521,2651/8704 is 1/4534784

Least Common Multiple of 521,8704 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 521,8704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,8704) = 1

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

GCF(521,8704) x common factors =1 x 1 = 1

LCM(521,8704) = ( 521 × 8704 ) / 1

LCM(521,8704) = 4534784 / 1

LCM(521,8704) = 4534784

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FAQs on GCF of Fractions of 6527/521, 2651/8704

1. What is the HCF of 6527,2651?

The HCF of 6527,2651 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 6527/521, 2651/8704?

Answer: GCF of Numerators as per given numbers 6527/521, 2651/8704 is

GCF of Numerators i.e. for 6527,2651 is 1

LCM of denominators i.e. for 521,8704 is 4534784.

Thus, GCF of Fractions is 1/4534784.Finally, GCF of Fractions for 6527/521, 2651/8704 is 1/4534784.