Greatest Common Factor of 5702/22, 3469/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5702/22, 3469/274

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 5702/22,3469/274

Given fractions are 5702/22,3469/274

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 5702,3469

Greatest Common Factor of Numerators i.e. GCF of 5702,3469 is 1 .

LCM of Denominators means LCM of 22,274 as per the given fractions.

LCM of 22,274 is 3014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5702,3469

GCF of Fractions 5702/22,3469/274 is 1/3014

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

Greatest Common Factor of 5702,3469 By Matching Biggest Common Factor Method

Greatest Common Factor of 5702,3469 By Matching Biggest Common Factor Method

Factors of 5702

List of positive integer factors of 5702 that divides 5702 without a remainder.

1,2,2851,5702

Factors of 3469

List of positive integer factors of 3469 that divides 3469 without a remainder.

1,3469

Greatest Common Factor

We found the factors 5702,3469 . The biggest common factor number is the GCF number.
So the greatest common factor 5702,3469 is 1.

Lets's calculate LCM of 22,274

2 22, 274
11, 137

∴ So the LCM of the given numbers is 2 x 11 x 137 = 3014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3014

Therefore, the GCF of Fractions 5702/22,3469/274 is 1/3014

Least Common Multiple of 22,274 with GCF Formula

Least Common Multiple of 22,274 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 22,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,274) = 2

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

GCF(22,274) x common factors =2 x 1 = 2

LCM(22,274) = ( 22 × 274 ) / 2

LCM(22,274) = 6028 / 2

LCM(22,274) = 3014


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 5702/22, 3469/274

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 5702/22, 3469/274?

Answer: GCF of Numerators as per given numbers 5702/22, 3469/274 is

GCF of Numerators i.e. for 5702,3469 is 1

LCM of denominators i.e. for 22,274 is 3014.

Thus, GCF of Fractions is 1/3014.Finally, GCF of Fractions for 5702/22, 3469/274 is 1/3014.