Greatest Common Factor of 1056/294, 9498/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1056/294, 9498/702

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 1056/294,9498/702

Given fractions are 1056/294,9498/702

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 1056,9498

Greatest Common Factor of Numerators i.e. GCF of 1056,9498 is 6 .

LCM of Denominators means LCM of 294,702 as per the given fractions.

LCM of 294,702 is 34398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1056,9498

GCF of Fractions 1056/294,9498/702 is 6/34398

2 1056, 9498
3 528, 4749
176, 1583

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1056,9498 By Matching Biggest Common Factor Method

Greatest Common Factor of 1056,9498 By Matching Biggest Common Factor Method

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1,2,3,6,1583,3166,4749,9498

Greatest Common Factor

We found the factors 1056,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 1056,9498 is 6.

Lets's calculate LCM of 294,702

2 294, 702
3 147, 351
49, 117

∴ So the LCM of the given numbers is 2 x 3 x 49 x 117 = 34398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/34398

Therefore, the GCF of Fractions 1056/294,9498/702 is 6/34398

Least Common Multiple of 294,702 with GCF Formula

Least Common Multiple of 294,702 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 294,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,702) = 6

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

GCF(294,702) x common factors =6 x 1 = 6

LCM(294,702) = ( 294 × 702 ) / 6

LCM(294,702) = 206388 / 6

LCM(294,702) = 34398


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1056/294, 9498/702

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 1056/294, 9498/702?

Answer: GCF of Numerators as per given numbers 1056/294, 9498/702 is

GCF of Numerators i.e. for 1056,9498 is 6

LCM of denominators i.e. for 294,702 is 34398.

Thus, GCF of Fractions is 6/34398.Finally, GCF of Fractions for 1056/294, 9498/702 is 6/34398.