Greatest Common Factor of 973/76, 735/19, 683/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 973/76, 735/19, 683/985

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 973/76,735/19,683/985

Given fractions are 973/76,735/19,683/985

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 973,735,683

Greatest Common Factor of Numerators i.e. GCF of 973,735,683 is 1 .

LCM of Denominators means LCM of 76,19,985 as per the given fractions.

LCM of 76,19,985 is 74860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 973,735,683

GCF of Fractions 973/76,735/19,683/985 is 1/74860

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

Greatest Common Factor of 973,735,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,735,683 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 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 973,735,683 . The biggest common factor number is the GCF number.
So the greatest common factor 973,735,683 is 1.

Lets's calculate LCM of 76,19,985

19 76, 19, 985
4, 1, 985

∴ So the LCM of the given numbers is 19 x 4 x 1 x 985 = 74860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74860

Therefore, the GCF of Fractions 973/76,735/19,683/985 is 1/74860

Least Common Multiple of 76,19,985 with GCF Formula

Least Common Multiple of 76,19,985 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 76,19,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,19,985) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(76,19,985) x common factors =1 x 19 = 19

LCM(76,19,985) = ( 76 × 19 × 985 ) / 19

LCM(76,19,985) = 1422340 / 19

LCM(76,19,985) = 74860


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 973/76, 735/19, 683/985

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 973/76, 735/19, 683/985?

Answer: GCF of Numerators as per given numbers 973/76, 735/19, 683/985 is

GCF of Numerators i.e. for 973,735,683 is 1

LCM of denominators i.e. for 76,19,985 is 74860.

Thus, GCF of Fractions is 1/74860.Finally, GCF of Fractions for 973/76, 735/19, 683/985 is 1/74860.