Greatest Common Factor of 353/252, 607/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/252, 607/295

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 353/252,607/295

Given fractions are 353/252,607/295

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 353,607

Greatest Common Factor of Numerators i.e. GCF of 353,607 is 1 .

LCM of Denominators means LCM of 252,295 as per the given fractions.

LCM of 252,295 is 74340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,607

GCF of Fractions 353/252,607/295 is 1/74340

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

Greatest Common Factor of 353,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,607 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 353,607 . The biggest common factor number is the GCF number.
So the greatest common factor 353,607 is 1.

Lets's calculate LCM of 252,295

Given numbers has no common factors except 1. So, there LCM is their product i.e 74340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74340

Therefore, the GCF of Fractions 353/252,607/295 is 1/74340

Least Common Multiple of 252,295 with GCF Formula

Least Common Multiple of 252,295 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 252,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,295) = 1

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

GCF(252,295) x common factors =1 x 1 = 1

LCM(252,295) = ( 252 × 295 ) / 1

LCM(252,295) = 74340 / 1

LCM(252,295) = 74340


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 353/252, 607/295

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 353/252, 607/295?

Answer: GCF of Numerators as per given numbers 353/252, 607/295 is

GCF of Numerators i.e. for 353,607 is 1

LCM of denominators i.e. for 252,295 is 74340.

Thus, GCF of Fractions is 1/74340.Finally, GCF of Fractions for 353/252, 607/295 is 1/74340.