How to Find GCF of 4794/924, 7687/716?

GCF of 4794/924, 7687/716

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 4794/924, 7687/716 i.e 1/165396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4794/924, 7687/716.

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 4794/924,7687/716?

Given fractions are 4794/924,7687/716

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 4794/924,7687/716, numerators are 4794,7687

Denominators are 924,716

The GCF of 4794,7687 is 1 .

LCM of 924,716 is 165396.

The greatest common factor of 4794/924,7687/716 = [GCF of 4794,7687]/[LCM of 924,716]= 1/165396

Therefore, the GCF of 4794/924,7687/716 is 1/165396.

Greatest Common Factor of 4794,7687

To find the highest common factor of 4794,7687, we have to find the factors of both numbers and list the highest common factor.

The factors of 4794 are 1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 799, 1598, 2397, 4794

The factors of 7687 are 1, 7687

The HCF of 4794,7687 is 1.

Lets's calculate GCF of 4794,7687

Greatest Common Factor (GCF) of 4794,7687 By Common Division

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

Greatest Common Factor of 4794,7687 By Matching Biggest Common Factor Method

Now, list down the factors of 4794

1,2,3,6,17,34,47,51,94,102,141,282,799,1598,2397,4794

Now, list down the factors of 7687

1,7687

Greatest Common Factor

We found the factors 4794,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 4794,7687 is 1.

Lets's calculate LCM of 924,716

Lowest Common Multiple of 924,716 using Common Division

2	924, 716
2	462, 358
	231, 179

∴ So the LCM of the given numbers is 2 x 2 x 231 x 179 = 165396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165396

Therefore, the GCF of Fractions 4794/924,7687/716 is 1/165396

Least Common Multiple of 924,716 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 924,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,716) = 4

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

GCF(924,716) x common factors =4 x 1 = 4

LCM(924,716) = ( 924 × 716 ) / 4

LCM(924,716) = 661584 / 4

LCM(924,716) = 165396

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FAQs on GCF of Fractions of 4794/924, 7687/716

1. What is the HCF of 4794,7687?

The HCF of 4794,7687 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 4794/924, 7687/716?

Answer: GCF of Numerators as per given numbers 4794/924, 7687/716 is

GCF of Numerators i.e. for 4794,7687 is 1

LCM of denominators i.e. for 924,716 is 165396.

Thus, GCF of Fractions is 1/165396.Finally, GCF of Fractions for 4794/924, 7687/716 is 1/165396.