Greatest Common Factor of 345/351, 253/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/351, 253/362

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 345/351,253/362

Given fractions are 345/351,253/362

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 345,253

Greatest Common Factor of Numerators i.e. GCF of 345,253 is 23 .

LCM of Denominators means LCM of 351,362 as per the given fractions.

LCM of 351,362 is 127062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,253

GCF of Fractions 345/351,253/362 is 23/127062

23 345, 253
15, 11

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 345,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,253 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 345,253 . The biggest common factor number is the GCF number.
So the greatest common factor 345,253 is 23.

Lets's calculate LCM of 351,362

Given numbers has no common factors except 1. So, there LCM is their product i.e 127062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/127062

Therefore, the GCF of Fractions 345/351,253/362 is 23/127062

Least Common Multiple of 351,362 with GCF Formula

Least Common Multiple of 351,362 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 351,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,362) = 1

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

GCF(351,362) x common factors =1 x 1 = 1

LCM(351,362) = ( 351 × 362 ) / 1

LCM(351,362) = 127062 / 1

LCM(351,362) = 127062


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 345/351, 253/362

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 345/351, 253/362?

Answer: GCF of Numerators as per given numbers 345/351, 253/362 is

GCF of Numerators i.e. for 345,253 is 23

LCM of denominators i.e. for 351,362 is 127062.

Thus, GCF of Fractions is 23/127062.Finally, GCF of Fractions for 345/351, 253/362 is 23/127062.