Greatest Common Factor of 1242/34, 3851/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1242/34, 3851/528

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 1242/34,3851/528

Given fractions are 1242/34,3851/528

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 1242,3851

Greatest Common Factor of Numerators i.e. GCF of 1242,3851 is 1 .

LCM of Denominators means LCM of 34,528 as per the given fractions.

LCM of 34,528 is 8976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1242,3851

GCF of Fractions 1242/34,3851/528 is 1/8976

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

Greatest Common Factor of 1242,3851 By Matching Biggest Common Factor Method

Greatest Common Factor of 1242,3851 By Matching Biggest Common Factor Method

Factors of 1242

List of positive integer factors of 1242 that divides 1242 without a remainder.

1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242

Factors of 3851

List of positive integer factors of 3851 that divides 3851 without a remainder.

1,3851

Greatest Common Factor

We found the factors 1242,3851 . The biggest common factor number is the GCF number.
So the greatest common factor 1242,3851 is 1.

Lets's calculate LCM of 34,528

2 34, 528
17, 264

∴ So the LCM of the given numbers is 2 x 17 x 264 = 8976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8976

Therefore, the GCF of Fractions 1242/34,3851/528 is 1/8976

Least Common Multiple of 34,528 with GCF Formula

Least Common Multiple of 34,528 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 34,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,528) = 2

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

GCF(34,528) x common factors =2 x 1 = 2

LCM(34,528) = ( 34 × 528 ) / 2

LCM(34,528) = 17952 / 2

LCM(34,528) = 8976


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 1242/34, 3851/528

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 1242/34, 3851/528?

Answer: GCF of Numerators as per given numbers 1242/34, 3851/528 is

GCF of Numerators i.e. for 1242,3851 is 1

LCM of denominators i.e. for 34,528 is 8976.

Thus, GCF of Fractions is 1/8976.Finally, GCF of Fractions for 1242/34, 3851/528 is 1/8976.