Greatest Common Factor of 8816/206, 2132/6970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8816/206, 2132/6970

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 8816/206,2132/6970

Given fractions are 8816/206,2132/6970

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 8816,2132

Greatest Common Factor of Numerators i.e. GCF of 8816,2132 is 4 .

LCM of Denominators means LCM of 206,6970 as per the given fractions.

LCM of 206,6970 is 717910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8816,2132

GCF of Fractions 8816/206,2132/6970 is 4/717910

2 8816, 2132
2 4408, 1066
2204, 533

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8816,2132 By Matching Biggest Common Factor Method

Greatest Common Factor of 8816,2132 By Matching Biggest Common Factor Method

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Factors of 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1,2,4,13,26,41,52,82,164,533,1066,2132

Greatest Common Factor

We found the factors 8816,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 8816,2132 is 4.

Lets's calculate LCM of 206,6970

2 206, 6970
103, 3485

∴ So the LCM of the given numbers is 2 x 103 x 3485 = 717910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/717910

Therefore, the GCF of Fractions 8816/206,2132/6970 is 4/717910

Least Common Multiple of 206,6970 with GCF Formula

Least Common Multiple of 206,6970 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 206,6970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,6970) = 2

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

GCF(206,6970) x common factors =2 x 1 = 2

LCM(206,6970) = ( 206 × 6970 ) / 2

LCM(206,6970) = 1435820 / 2

LCM(206,6970) = 717910


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 8816/206, 2132/6970

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 8816/206, 2132/6970?

Answer: GCF of Numerators as per given numbers 8816/206, 2132/6970 is

GCF of Numerators i.e. for 8816,2132 is 4

LCM of denominators i.e. for 206,6970 is 717910.

Thus, GCF of Fractions is 4/717910.Finally, GCF of Fractions for 8816/206, 2132/6970 is 4/717910.