Greatest Common Factor of 763/1693, 980/2058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 763/1693, 980/2058

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 763/1693,980/2058

Given fractions are 763/1693,980/2058

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 763,980

Greatest Common Factor of Numerators i.e. GCF of 763,980 is 7 .

LCM of Denominators means LCM of 1693,2058 as per the given fractions.

LCM of 1693,2058 is 3484194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 763,980

GCF of Fractions 763/1693,980/2058 is 7/3484194

7 763, 980
109, 140

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

Greatest Common Factor of 763,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,980 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 763,980 . The biggest common factor number is the GCF number.
So the greatest common factor 763,980 is 7.

Lets's calculate LCM of 1693,2058

Given numbers has no common factors except 1. So, there LCM is their product i.e 3484194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3484194

Therefore, the GCF of Fractions 763/1693,980/2058 is 7/3484194

Least Common Multiple of 1693,2058 with GCF Formula

Least Common Multiple of 1693,2058 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 1693,2058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1693,2058) = 1

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

GCF(1693,2058) x common factors =1 x 1 = 1

LCM(1693,2058) = ( 1693 × 2058 ) / 1

LCM(1693,2058) = 3484194 / 1

LCM(1693,2058) = 3484194


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 763/1693, 980/2058

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 763/1693, 980/2058?

Answer: GCF of Numerators as per given numbers 763/1693, 980/2058 is

GCF of Numerators i.e. for 763,980 is 7

LCM of denominators i.e. for 1693,2058 is 3484194.

Thus, GCF of Fractions is 7/3484194.Finally, GCF of Fractions for 763/1693, 980/2058 is 7/3484194.