Greatest Common Factor of 2110/743, 1264/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2110/743, 1264/783

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 2110/743,1264/783

Given fractions are 2110/743,1264/783

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 2110,1264

Greatest Common Factor of Numerators i.e. GCF of 2110,1264 is 2 .

LCM of Denominators means LCM of 743,783 as per the given fractions.

LCM of 743,783 is 581769 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2110,1264

GCF of Fractions 2110/743,1264/783 is 2/581769

2 2110, 1264
1055, 632

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2110,1264 By Matching Biggest Common Factor Method

Greatest Common Factor of 2110,1264 By Matching Biggest Common Factor Method

Factors of 2110

List of positive integer factors of 2110 that divides 2110 without a remainder.

1,2,5,10,211,422,1055,2110

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1,2,4,8,16,79,158,316,632,1264

Greatest Common Factor

We found the factors 2110,1264 . The biggest common factor number is the GCF number.
So the greatest common factor 2110,1264 is 2.

Lets's calculate LCM of 743,783

Given numbers has no common factors except 1. So, there LCM is their product i.e 581769

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/581769

Therefore, the GCF of Fractions 2110/743,1264/783 is 2/581769

Least Common Multiple of 743,783 with GCF Formula

Least Common Multiple of 743,783 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 743,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,783) = 1

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

GCF(743,783) x common factors =1 x 1 = 1

LCM(743,783) = ( 743 × 783 ) / 1

LCM(743,783) = 581769 / 1

LCM(743,783) = 581769


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 2110/743, 1264/783

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 2110/743, 1264/783?

Answer: GCF of Numerators as per given numbers 2110/743, 1264/783 is

GCF of Numerators i.e. for 2110,1264 is 2

LCM of denominators i.e. for 743,783 is 581769.

Thus, GCF of Fractions is 2/581769.Finally, GCF of Fractions for 2110/743, 1264/783 is 2/581769.