Greatest Common Factor of 469/70, 507/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/70, 507/468

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 469/70,507/468

Given fractions are 469/70,507/468

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 469,507

Greatest Common Factor of Numerators i.e. GCF of 469,507 is 1 .

LCM of Denominators means LCM of 70,468 as per the given fractions.

LCM of 70,468 is 16380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,507

GCF of Fractions 469/70,507/468 is 1/16380

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

Greatest Common Factor of 469,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,507 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 469,507 . The biggest common factor number is the GCF number.
So the greatest common factor 469,507 is 1.

Lets's calculate LCM of 70,468

2 70, 468
35, 234

∴ So the LCM of the given numbers is 2 x 35 x 234 = 16380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16380

Therefore, the GCF of Fractions 469/70,507/468 is 1/16380

Least Common Multiple of 70,468 with GCF Formula

Least Common Multiple of 70,468 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 70,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,468) = 2

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

GCF(70,468) x common factors =2 x 1 = 2

LCM(70,468) = ( 70 × 468 ) / 2

LCM(70,468) = 32760 / 2

LCM(70,468) = 16380


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 469/70, 507/468

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 469/70, 507/468?

Answer: GCF of Numerators as per given numbers 469/70, 507/468 is

GCF of Numerators i.e. for 469,507 is 1

LCM of denominators i.e. for 70,468 is 16380.

Thus, GCF of Fractions is 1/16380.Finally, GCF of Fractions for 469/70, 507/468 is 1/16380.