Greatest Common Factor of 4798/850, 6477/2912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4798/850, 6477/2912

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 4798/850,6477/2912

Given fractions are 4798/850,6477/2912

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 4798,6477

Greatest Common Factor of Numerators i.e. GCF of 4798,6477 is 1 .

LCM of Denominators means LCM of 850,2912 as per the given fractions.

LCM of 850,2912 is 1237600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4798,6477

GCF of Fractions 4798/850,6477/2912 is 1/1237600

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

Greatest Common Factor of 4798,6477 By Matching Biggest Common Factor Method

Greatest Common Factor of 4798,6477 By Matching Biggest Common Factor Method

Factors of 4798

List of positive integer factors of 4798 that divides 4798 without a remainder.

1,2,2399,4798

Factors of 6477

List of positive integer factors of 6477 that divides 6477 without a remainder.

1,3,17,51,127,381,2159,6477

Greatest Common Factor

We found the factors 4798,6477 . The biggest common factor number is the GCF number.
So the greatest common factor 4798,6477 is 1.

Lets's calculate LCM of 850,2912

2 850, 2912
425, 1456

∴ So the LCM of the given numbers is 2 x 425 x 1456 = 1237600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1237600

Therefore, the GCF of Fractions 4798/850,6477/2912 is 1/1237600

Least Common Multiple of 850,2912 with GCF Formula

Least Common Multiple of 850,2912 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 850,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,2912) = 2

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

GCF(850,2912) x common factors =2 x 1 = 2

LCM(850,2912) = ( 850 × 2912 ) / 2

LCM(850,2912) = 2475200 / 2

LCM(850,2912) = 1237600


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 4798/850, 6477/2912

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 4798/850, 6477/2912?

Answer: GCF of Numerators as per given numbers 4798/850, 6477/2912 is

GCF of Numerators i.e. for 4798,6477 is 1

LCM of denominators i.e. for 850,2912 is 1237600.

Thus, GCF of Fractions is 1/1237600.Finally, GCF of Fractions for 4798/850, 6477/2912 is 1/1237600.