Greatest Common Factor of 3494/507, 1865/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3494/507, 1865/520

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 3494/507,1865/520

Given fractions are 3494/507,1865/520

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 3494,1865

Greatest Common Factor of Numerators i.e. GCF of 3494,1865 is 1 .

LCM of Denominators means LCM of 507,520 as per the given fractions.

LCM of 507,520 is 20280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3494,1865

GCF of Fractions 3494/507,1865/520 is 1/20280

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

Greatest Common Factor of 3494,1865 By Matching Biggest Common Factor Method

Greatest Common Factor of 3494,1865 By Matching Biggest Common Factor Method

Factors of 3494

List of positive integer factors of 3494 that divides 3494 without a remainder.

1,2,1747,3494

Factors of 1865

List of positive integer factors of 1865 that divides 1865 without a remainder.

1,5,373,1865

Greatest Common Factor

We found the factors 3494,1865 . The biggest common factor number is the GCF number.
So the greatest common factor 3494,1865 is 1.

Lets's calculate LCM of 507,520

13 507, 520
39, 40

∴ So the LCM of the given numbers is 13 x 39 x 40 = 20280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20280

Therefore, the GCF of Fractions 3494/507,1865/520 is 1/20280

Least Common Multiple of 507,520 with GCF Formula

Least Common Multiple of 507,520 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 507,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,520) = 13

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

GCF(507,520) x common factors =13 x 1 = 13

LCM(507,520) = ( 507 × 520 ) / 13

LCM(507,520) = 263640 / 13

LCM(507,520) = 20280


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 3494/507, 1865/520

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 3494/507, 1865/520?

Answer: GCF of Numerators as per given numbers 3494/507, 1865/520 is

GCF of Numerators i.e. for 3494,1865 is 1

LCM of denominators i.e. for 507,520 is 20280.

Thus, GCF of Fractions is 1/20280.Finally, GCF of Fractions for 3494/507, 1865/520 is 1/20280.