Greatest Common Factor of 707/872, 5214/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 707/872, 5214/316

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 707/872,5214/316

Given fractions are 707/872,5214/316

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 707,5214

Greatest Common Factor of Numerators i.e. GCF of 707,5214 is 1 .

LCM of Denominators means LCM of 872,316 as per the given fractions.

LCM of 872,316 is 68888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 707,5214

GCF of Fractions 707/872,5214/316 is 1/68888

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

Greatest Common Factor of 707,5214 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,5214 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 5214

List of positive integer factors of 5214 that divides 5214 without a remainder.

1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214

Greatest Common Factor

We found the factors 707,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 707,5214 is 1.

Lets's calculate LCM of 872,316

2 872, 316
2 436, 158
218, 79

∴ So the LCM of the given numbers is 2 x 2 x 218 x 79 = 68888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68888

Therefore, the GCF of Fractions 707/872,5214/316 is 1/68888

Least Common Multiple of 872,316 with GCF Formula

Least Common Multiple of 872,316 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 872,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,316) = 4

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

GCF(872,316) x common factors =4 x 1 = 4

LCM(872,316) = ( 872 × 316 ) / 4

LCM(872,316) = 275552 / 4

LCM(872,316) = 68888


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 707/872, 5214/316

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 707/872, 5214/316?

Answer: GCF of Numerators as per given numbers 707/872, 5214/316 is

GCF of Numerators i.e. for 707,5214 is 1

LCM of denominators i.e. for 872,316 is 68888.

Thus, GCF of Fractions is 1/68888.Finally, GCF of Fractions for 707/872, 5214/316 is 1/68888.