Greatest Common Factor of 69/314, 979/268, 783/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/314, 979/268, 783/207

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 69/314,979/268,783/207

Given fractions are 69/314,979/268,783/207

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 69,979,783

Greatest Common Factor of Numerators i.e. GCF of 69,979,783 is 1 .

LCM of Denominators means LCM of 314,268,207 as per the given fractions.

LCM of 314,268,207 is 8709732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,979,783

GCF of Fractions 69/314,979/268,783/207 is 1/8709732

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

Greatest Common Factor of 69,979,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,979,783 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 69,979,783 . The biggest common factor number is the GCF number.
So the greatest common factor 69,979,783 is 1.

Lets's calculate LCM of 314,268,207

2 314, 268, 207
157, 134, 207

∴ So the LCM of the given numbers is 2 x 157 x 134 x 207 = 8709732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8709732

Therefore, the GCF of Fractions 69/314,979/268,783/207 is 1/8709732

Least Common Multiple of 314,268,207 with GCF Formula

Least Common Multiple of 314,268,207 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 314,268,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,268,207) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(314,268,207) x common factors =1 x 2 = 2

LCM(314,268,207) = ( 314 × 268 × 207 ) / 2

LCM(314,268,207) = 17419464 / 2

LCM(314,268,207) = 8709732


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 69/314, 979/268, 783/207

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 69/314, 979/268, 783/207?

Answer: GCF of Numerators as per given numbers 69/314, 979/268, 783/207 is

GCF of Numerators i.e. for 69,979,783 is 1

LCM of denominators i.e. for 314,268,207 is 8709732.

Thus, GCF of Fractions is 1/8709732.Finally, GCF of Fractions for 69/314, 979/268, 783/207 is 1/8709732.