Greatest Common Factor of 355/508, 7030/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 355/508, 7030/538

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 355/508,7030/538

Given fractions are 355/508,7030/538

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 355,7030

Greatest Common Factor of Numerators i.e. GCF of 355,7030 is 5 .

LCM of Denominators means LCM of 508,538 as per the given fractions.

LCM of 508,538 is 136652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 355,7030

GCF of Fractions 355/508,7030/538 is 5/136652

5 355, 7030
71, 1406

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 355,7030 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,7030 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030

Greatest Common Factor

We found the factors 355,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 355,7030 is 5.

Lets's calculate LCM of 508,538

2 508, 538
254, 269

∴ So the LCM of the given numbers is 2 x 254 x 269 = 136652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/136652

Therefore, the GCF of Fractions 355/508,7030/538 is 5/136652

Least Common Multiple of 508,538 with GCF Formula

Least Common Multiple of 508,538 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 508,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,538) = 2

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

GCF(508,538) x common factors =2 x 1 = 2

LCM(508,538) = ( 508 × 538 ) / 2

LCM(508,538) = 273304 / 2

LCM(508,538) = 136652


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 355/508, 7030/538

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 355/508, 7030/538?

Answer: GCF of Numerators as per given numbers 355/508, 7030/538 is

GCF of Numerators i.e. for 355,7030 is 5

LCM of denominators i.e. for 508,538 is 136652.

Thus, GCF of Fractions is 5/136652.Finally, GCF of Fractions for 355/508, 7030/538 is 5/136652.