Greatest Common Factor of 4707/64, 3848/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4707/64, 3848/996

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 4707/64,3848/996

Given fractions are 4707/64,3848/996

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4707,3848

Greatest Common Factor of Numerators i.e. GCF of 4707,3848 is 1 .

LCM of Denominators means LCM of 64,996 as per the given fractions.

LCM of 64,996 is 15936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4707,3848

GCF of Fractions 4707/64,3848/996 is 1/15936

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

Greatest Common Factor of 4707,3848 By Matching Biggest Common Factor Method

Greatest Common Factor of 4707,3848 By Matching Biggest Common Factor Method

Factors of 4707

List of positive integer factors of 4707 that divides 4707 without a remainder.

1,3,9,523,1569,4707

Factors of 3848

List of positive integer factors of 3848 that divides 3848 without a remainder.

1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848

Greatest Common Factor

We found the factors 4707,3848 . The biggest common factor number is the GCF number.
So the greatest common factor 4707,3848 is 1.

Lets's calculate LCM of 64,996

2 64, 996
2 32, 498
16, 249

∴ So the LCM of the given numbers is 2 x 2 x 16 x 249 = 15936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15936

Therefore, the GCF of Fractions 4707/64,3848/996 is 1/15936

Least Common Multiple of 64,996 with GCF Formula

Least Common Multiple of 64,996 with GCF Formula

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

We need to calculate greatest common factor of 64,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,996) = 4

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

GCF(64,996) x common factors =4 x 1 = 4

LCM(64,996) = ( 64 × 996 ) / 4

LCM(64,996) = 63744 / 4

LCM(64,996) = 15936


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4707/64, 3848/996

1. 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.

2. What is the GCF of Fractions for 4707/64, 3848/996?

Answer: GCF of Numerators as per given numbers 4707/64, 3848/996 is

GCF of Numerators i.e. for 4707,3848 is 1

LCM of denominators i.e. for 64,996 is 15936.

Thus, GCF of Fractions is 1/15936.Finally, GCF of Fractions for 4707/64, 3848/996 is 1/15936.