Greatest Common Factor of 509/70, 142/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 509/70, 142/505

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 509/70,142/505

Given fractions are 509/70,142/505

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 509,142

Greatest Common Factor of Numerators i.e. GCF of 509,142 is 1 .

LCM of Denominators means LCM of 70,505 as per the given fractions.

LCM of 70,505 is 7070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 509,142

GCF of Fractions 509/70,142/505 is 1/7070

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

Greatest Common Factor of 509,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,142 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 509,142 . The biggest common factor number is the GCF number.
So the greatest common factor 509,142 is 1.

Lets's calculate LCM of 70,505

5 70, 505
14, 101

∴ So the LCM of the given numbers is 5 x 14 x 101 = 7070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7070

Therefore, the GCF of Fractions 509/70,142/505 is 1/7070

Least Common Multiple of 70,505 with GCF Formula

Least Common Multiple of 70,505 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 70,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,505) = 5

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

GCF(70,505) x common factors =5 x 1 = 5

LCM(70,505) = ( 70 × 505 ) / 5

LCM(70,505) = 35350 / 5

LCM(70,505) = 7070


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 509/70, 142/505

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 509/70, 142/505?

Answer: GCF of Numerators as per given numbers 509/70, 142/505 is

GCF of Numerators i.e. for 509,142 is 1

LCM of denominators i.e. for 70,505 is 7070.

Thus, GCF of Fractions is 1/7070.Finally, GCF of Fractions for 509/70, 142/505 is 1/7070.