Greatest Common Factor of 4220/276, 7106/4974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4220/276, 7106/4974

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 4220/276,7106/4974

Given fractions are 4220/276,7106/4974

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 4220,7106

Greatest Common Factor of Numerators i.e. GCF of 4220,7106 is 2 .

LCM of Denominators means LCM of 276,4974 as per the given fractions.

LCM of 276,4974 is 228804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4220,7106

GCF of Fractions 4220/276,7106/4974 is 2/228804

2 4220, 7106
2110, 3553

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

Greatest Common Factor of 4220,7106 By Matching Biggest Common Factor Method

Greatest Common Factor of 4220,7106 By Matching Biggest Common Factor Method

Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1,2,4,5,10,20,211,422,844,1055,2110,4220

Factors of 7106

List of positive integer factors of 7106 that divides 7106 without a remainder.

1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106

Greatest Common Factor

We found the factors 4220,7106 . The biggest common factor number is the GCF number.
So the greatest common factor 4220,7106 is 2.

Lets's calculate LCM of 276,4974

2 276, 4974
3 138, 2487
46, 829

∴ So the LCM of the given numbers is 2 x 3 x 46 x 829 = 228804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228804

Therefore, the GCF of Fractions 4220/276,7106/4974 is 2/228804

Least Common Multiple of 276,4974 with GCF Formula

Least Common Multiple of 276,4974 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 276,4974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,4974) = 6

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

GCF(276,4974) x common factors =6 x 1 = 6

LCM(276,4974) = ( 276 × 4974 ) / 6

LCM(276,4974) = 1372824 / 6

LCM(276,4974) = 228804


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 4220/276, 7106/4974

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 4220/276, 7106/4974?

Answer: GCF of Numerators as per given numbers 4220/276, 7106/4974 is

GCF of Numerators i.e. for 4220,7106 is 2

LCM of denominators i.e. for 276,4974 is 228804.

Thus, GCF of Fractions is 2/228804.Finally, GCF of Fractions for 4220/276, 7106/4974 is 2/228804.