Greatest Common Factor of 9749/846, 1056/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9749/846, 1056/820

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 9749/846,1056/820

Given fractions are 9749/846,1056/820

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 9749,1056

Greatest Common Factor of Numerators i.e. GCF of 9749,1056 is 1 .

LCM of Denominators means LCM of 846,820 as per the given fractions.

LCM of 846,820 is 346860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9749,1056

GCF of Fractions 9749/846,1056/820 is 1/346860

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

Greatest Common Factor of 9749,1056 By Matching Biggest Common Factor Method

Greatest Common Factor of 9749,1056 By Matching Biggest Common Factor Method

Factors of 9749

List of positive integer factors of 9749 that divides 9749 without a remainder.

1,9749

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

Greatest Common Factor

We found the factors 9749,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 9749,1056 is 1.

Lets's calculate LCM of 846,820

2 846, 820
423, 410

∴ So the LCM of the given numbers is 2 x 423 x 410 = 346860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346860

Therefore, the GCF of Fractions 9749/846,1056/820 is 1/346860

Least Common Multiple of 846,820 with GCF Formula

Least Common Multiple of 846,820 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 846,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,820) = 2

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

GCF(846,820) x common factors =2 x 1 = 2

LCM(846,820) = ( 846 × 820 ) / 2

LCM(846,820) = 693720 / 2

LCM(846,820) = 346860


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 9749/846, 1056/820

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 9749/846, 1056/820?

Answer: GCF of Numerators as per given numbers 9749/846, 1056/820 is

GCF of Numerators i.e. for 9749,1056 is 1

LCM of denominators i.e. for 846,820 is 346860.

Thus, GCF of Fractions is 1/346860.Finally, GCF of Fractions for 9749/846, 1056/820 is 1/346860.