How to Find GCF of 4936/647, 9392/7253?

GCF of 4936/647, 9392/7253

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 4936/647, 9392/7253 i.e 8/4692691 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4936/647, 9392/7253.

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 4936/647,9392/7253?

Given fractions are 4936/647,9392/7253

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 4936/647,9392/7253, numerators are 4936,9392

Denominators are 647,7253

The GCF of 4936,9392 is 8 .

LCM of 647,7253 is 4692691.

The greatest common factor of 4936/647,9392/7253 = [GCF of 4936,9392]/[LCM of 647,7253]= 8/4692691

Therefore, the GCF of 4936/647,9392/7253 is 8/4692691.

Greatest Common Factor of 4936,9392

To find the highest common factor of 4936,9392, we have to find the factors of both numbers and list the highest common factor.

The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936

The factors of 9392 are 1, 2, 4, 8, 16, 587, 1174, 2348, 4696, 9392

The HCF of 4936,9392 is 8.

Lets's calculate GCF of 4936,9392

Greatest Common Factor (GCF) of 4936,9392 By Common Division

2	4936, 9392
2	2468, 4696
2	1234, 2348
	617, 1174

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4936,9392 By Matching Biggest Common Factor Method

Now, list down the factors of 4936

1,2,4,8,617,1234,2468,4936

Now, list down the factors of 9392

1,2,4,8,16,587,1174,2348,4696,9392

Greatest Common Factor

We found the factors 4936,9392 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,9392 is 8.

Lets's calculate LCM of 647,7253

Lowest Common Multiple of 647,7253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4692691

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4692691

Therefore, the GCF of Fractions 4936/647,9392/7253 is 8/4692691

Least Common Multiple of 647,7253 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 647,7253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,7253) = 1

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

GCF(647,7253) x common factors =1 x 1 = 1

LCM(647,7253) = ( 647 × 7253 ) / 1

LCM(647,7253) = 4692691 / 1

LCM(647,7253) = 4692691

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FAQs on GCF of Fractions of 4936/647, 9392/7253

1. What is the HCF of 4936,9392?

The HCF of 4936,9392 is 8

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 4936/647, 9392/7253?

Answer: GCF of Numerators as per given numbers 4936/647, 9392/7253 is

GCF of Numerators i.e. for 4936,9392 is 8

LCM of denominators i.e. for 647,7253 is 4692691.

Thus, GCF of Fractions is 8/4692691.Finally, GCF of Fractions for 4936/647, 9392/7253 is 8/4692691.