Greatest Common Factor of 973/49, 630/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 973/49, 630/343

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 973/49,630/343

Given fractions are 973/49,630/343

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 973,630

Greatest Common Factor of Numerators i.e. GCF of 973,630 is 7 .

LCM of Denominators means LCM of 49,343 as per the given fractions.

LCM of 49,343 is 343 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 973,630

GCF of Fractions 973/49,630/343 is 7/343

7 973, 630
139, 90

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 973,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,630 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 973,630 . The biggest common factor number is the GCF number.
So the greatest common factor 973,630 is 7.

Lets's calculate LCM of 49,343

7 49, 343
7 7, 49
1, 7

∴ So the LCM of the given numbers is 7 x 7 x 1 x 7 = 343

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/343

Therefore, the GCF of Fractions 973/49,630/343 is 7/343

Least Common Multiple of 49,343 with GCF Formula

Least Common Multiple of 49,343 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 49,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,343) = 49

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

GCF(49,343) x common factors =49 x 1 = 49

LCM(49,343) = ( 49 × 343 ) / 49

LCM(49,343) = 16807 / 49

LCM(49,343) = 343


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 973/49, 630/343

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 973/49, 630/343?

Answer: GCF of Numerators as per given numbers 973/49, 630/343 is

GCF of Numerators i.e. for 973,630 is 7

LCM of denominators i.e. for 49,343 is 343.

Thus, GCF of Fractions is 7/343.Finally, GCF of Fractions for 973/49, 630/343 is 7/343.