How to Find GCF of 4077/680, 6151/9571?

GCF of 4077/680, 6151/9571

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 4077/680, 6151/9571 i.e 1/382840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4077/680, 6151/9571.

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 4077/680,6151/9571?

Given fractions are 4077/680,6151/9571

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 4077/680,6151/9571, numerators are 4077,6151

Denominators are 680,9571

The GCF of 4077,6151 is 1 .

LCM of 680,9571 is 382840.

The greatest common factor of 4077/680,6151/9571 = [GCF of 4077,6151]/[LCM of 680,9571]= 1/382840

Therefore, the GCF of 4077/680,6151/9571 is 1/382840.

Greatest Common Factor of 4077,6151

To find the highest common factor of 4077,6151, we have to find the factors of both numbers and list the highest common factor.

The factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077

The factors of 6151 are 1, 6151

The HCF of 4077,6151 is 1.

Lets's calculate GCF of 4077,6151

Greatest Common Factor (GCF) of 4077,6151 By Common Division

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

Greatest Common Factor of 4077,6151 By Matching Biggest Common Factor Method

Now, list down the factors of 4077

1,3,9,27,151,453,1359,4077

Now, list down the factors of 6151

1,6151

Greatest Common Factor

We found the factors 4077,6151 . The biggest common factor number is the GCF number.
So the greatest common factor 4077,6151 is 1.

Lets's calculate LCM of 680,9571

Lowest Common Multiple of 680,9571 using Common Division

17	680, 9571
	40, 563

∴ So the LCM of the given numbers is 17 x 40 x 563 = 382840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382840

Therefore, the GCF of Fractions 4077/680,6151/9571 is 1/382840

Least Common Multiple of 680,9571 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 680,9571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,9571) = 17

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

GCF(680,9571) x common factors =17 x 1 = 17

LCM(680,9571) = ( 680 × 9571 ) / 17

LCM(680,9571) = 6508280 / 17

LCM(680,9571) = 382840

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FAQs on GCF of Fractions of 4077/680, 6151/9571

1. What is the HCF of 4077,6151?

The HCF of 4077,6151 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 4077/680, 6151/9571?

Answer: GCF of Numerators as per given numbers 4077/680, 6151/9571 is

GCF of Numerators i.e. for 4077,6151 is 1

LCM of denominators i.e. for 680,9571 is 382840.

Thus, GCF of Fractions is 1/382840.Finally, GCF of Fractions for 4077/680, 6151/9571 is 1/382840.