Greatest Common Factor of 359/713, 7056/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 359/713, 7056/651

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 359/713,7056/651

Given fractions are 359/713,7056/651

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 359,7056

Greatest Common Factor of Numerators i.e. GCF of 359,7056 is 1 .

LCM of Denominators means LCM of 713,651 as per the given fractions.

LCM of 713,651 is 14973 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 359,7056

GCF of Fractions 359/713,7056/651 is 1/14973

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

Greatest Common Factor of 359,7056 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,7056 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 7056

List of positive integer factors of 7056 that divides 7056 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056

Greatest Common Factor

We found the factors 359,7056 . The biggest common factor number is the GCF number.
So the greatest common factor 359,7056 is 1.

Lets's calculate LCM of 713,651

31 713, 651
23, 21

∴ So the LCM of the given numbers is 31 x 23 x 21 = 14973

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14973

Therefore, the GCF of Fractions 359/713,7056/651 is 1/14973

Least Common Multiple of 713,651 with GCF Formula

Least Common Multiple of 713,651 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 713,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,651) = 31

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

GCF(713,651) x common factors =31 x 1 = 31

LCM(713,651) = ( 713 × 651 ) / 31

LCM(713,651) = 464163 / 31

LCM(713,651) = 14973


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 359/713, 7056/651

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 359/713, 7056/651?

Answer: GCF of Numerators as per given numbers 359/713, 7056/651 is

GCF of Numerators i.e. for 359,7056 is 1

LCM of denominators i.e. for 713,651 is 14973.

Thus, GCF of Fractions is 1/14973.Finally, GCF of Fractions for 359/713, 7056/651 is 1/14973.