How to Find GCF of 5276/641, 5121/8935?

GCF of 5276/641, 5121/8935

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 5276/641, 5121/8935 i.e 1/5727335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5276/641, 5121/8935.

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 5276/641,5121/8935?

Given fractions are 5276/641,5121/8935

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 5276/641,5121/8935, numerators are 5276,5121

Denominators are 641,8935

The GCF of 5276,5121 is 1 .

LCM of 641,8935 is 5727335.

The greatest common factor of 5276/641,5121/8935 = [GCF of 5276,5121]/[LCM of 641,8935]= 1/5727335

Therefore, the GCF of 5276/641,5121/8935 is 1/5727335.

Greatest Common Factor of 5276,5121

To find the highest common factor of 5276,5121, we have to find the factors of both numbers and list the highest common factor.

The factors of 5276 are 1, 2, 4, 1319, 2638, 5276

The factors of 5121 are 1, 3, 9, 569, 1707, 5121

The HCF of 5276,5121 is 1.

Lets's calculate GCF of 5276,5121

Greatest Common Factor (GCF) of 5276,5121 By Common Division

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

Greatest Common Factor of 5276,5121 By Matching Biggest Common Factor Method

Now, list down the factors of 5276

1,2,4,1319,2638,5276

Now, list down the factors of 5121

1,3,9,569,1707,5121

Greatest Common Factor

We found the factors 5276,5121 . The biggest common factor number is the GCF number.
So the greatest common factor 5276,5121 is 1.

Lets's calculate LCM of 641,8935

Lowest Common Multiple of 641,8935 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5727335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5727335

Therefore, the GCF of Fractions 5276/641,5121/8935 is 1/5727335

Least Common Multiple of 641,8935 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 641,8935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,8935) = 1

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

GCF(641,8935) x common factors =1 x 1 = 1

LCM(641,8935) = ( 641 × 8935 ) / 1

LCM(641,8935) = 5727335 / 1

LCM(641,8935) = 5727335

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FAQs on GCF of Fractions of 5276/641, 5121/8935

1. What is the HCF of 5276,5121?

The HCF of 5276,5121 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 5276/641, 5121/8935?

Answer: GCF of Numerators as per given numbers 5276/641, 5121/8935 is

GCF of Numerators i.e. for 5276,5121 is 1

LCM of denominators i.e. for 641,8935 is 5727335.

Thus, GCF of Fractions is 1/5727335.Finally, GCF of Fractions for 5276/641, 5121/8935 is 1/5727335.