Greatest Common Factor of 3140/784, 5263/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3140/784, 5263/690

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 3140/784,5263/690

Given fractions are 3140/784,5263/690

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 3140,5263

Greatest Common Factor of Numerators i.e. GCF of 3140,5263 is 1 .

LCM of Denominators means LCM of 784,690 as per the given fractions.

LCM of 784,690 is 270480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3140,5263

GCF of Fractions 3140/784,5263/690 is 1/270480

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

Greatest Common Factor of 3140,5263 By Matching Biggest Common Factor Method

Greatest Common Factor of 3140,5263 By Matching Biggest Common Factor Method

Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1,2,4,5,10,20,157,314,628,785,1570,3140

Factors of 5263

List of positive integer factors of 5263 that divides 5263 without a remainder.

1,19,277,5263

Greatest Common Factor

We found the factors 3140,5263 . The biggest common factor number is the GCF number.
So the greatest common factor 3140,5263 is 1.

Lets's calculate LCM of 784,690

2 784, 690
392, 345

∴ So the LCM of the given numbers is 2 x 392 x 345 = 270480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270480

Therefore, the GCF of Fractions 3140/784,5263/690 is 1/270480

Least Common Multiple of 784,690 with GCF Formula

Least Common Multiple of 784,690 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 784,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,690) = 2

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

GCF(784,690) x common factors =2 x 1 = 2

LCM(784,690) = ( 784 × 690 ) / 2

LCM(784,690) = 540960 / 2

LCM(784,690) = 270480


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 3140/784, 5263/690

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 3140/784, 5263/690?

Answer: GCF of Numerators as per given numbers 3140/784, 5263/690 is

GCF of Numerators i.e. for 3140,5263 is 1

LCM of denominators i.e. for 784,690 is 270480.

Thus, GCF of Fractions is 1/270480.Finally, GCF of Fractions for 3140/784, 5263/690 is 1/270480.