Greatest Common Factor of 973/63, 168/25, 700/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 973/63, 168/25, 700/523

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 973/63,168/25,700/523

Given fractions are 973/63,168/25,700/523

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 973,168,700

Greatest Common Factor of Numerators i.e. GCF of 973,168,700 is 7 .

LCM of Denominators means LCM of 63,25,523 as per the given fractions.

LCM of 63,25,523 is 823725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 973,168,700

GCF of Fractions 973/63,168/25,700/523 is 7/823725

7 973, 168, 700
139, 24, 100

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

Greatest Common Factor of 973,168,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,168,700 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 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 973,168,700 . The biggest common factor number is the GCF number.
So the greatest common factor 973,168,700 is 7.


Lets's calculate LCM of 63,25,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 823725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/823725

Therefore, the GCF of Fractions 973/63,168/25,700/523 is 7/823725

Least Common Multiple of 63,25,523 with GCF Formula

Least Common Multiple of 63,25,523 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 63,25,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,25,523) = 1

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

GCF(63,25,523) x common factors =1 x 1 = 1

LCM(63,25,523) = ( 63 × 25 × 523 ) / 1

LCM(63,25,523) = 823725 / 1

LCM(63,25,523) = 823725


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 973/63, 168/25, 700/523

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 973/63, 168/25, 700/523?

Answer: GCF of Numerators as per given numbers 973/63, 168/25, 700/523 is

GCF of Numerators i.e. for 973,168,700 is 7

LCM of denominators i.e. for 63,25,523 is 823725.

Thus, GCF of Fractions is 7/823725.Finally, GCF of Fractions for 973/63, 168/25, 700/523 is 7/823725.