Greatest Common Factor of 9894/366, 9456/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9894/366, 9456/685

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 9894/366,9456/685

Given fractions are 9894/366,9456/685

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 9894,9456

Greatest Common Factor of Numerators i.e. GCF of 9894,9456 is 6 .

LCM of Denominators means LCM of 366,685 as per the given fractions.

LCM of 366,685 is 250710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9894,9456

GCF of Fractions 9894/366,9456/685 is 6/250710

2 9894, 9456
3 4947, 4728
1649, 1576

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

Greatest Common Factor of 9894,9456 By Matching Biggest Common Factor Method

Greatest Common Factor of 9894,9456 By Matching Biggest Common Factor Method

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894

Factors of 9456

List of positive integer factors of 9456 that divides 9456 without a remainder.

1,2,3,4,6,8,12,16,24,48,197,394,591,788,1182,1576,2364,3152,4728,9456

Greatest Common Factor

We found the factors 9894,9456 . The biggest common factor number is the GCF number.
So the greatest common factor 9894,9456 is 6.

Lets's calculate LCM of 366,685

Given numbers has no common factors except 1. So, there LCM is their product i.e 250710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/250710

Therefore, the GCF of Fractions 9894/366,9456/685 is 6/250710

Least Common Multiple of 366,685 with GCF Formula

Least Common Multiple of 366,685 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 366,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,685) = 1

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

GCF(366,685) x common factors =1 x 1 = 1

LCM(366,685) = ( 366 × 685 ) / 1

LCM(366,685) = 250710 / 1

LCM(366,685) = 250710


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 9894/366, 9456/685

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 9894/366, 9456/685?

Answer: GCF of Numerators as per given numbers 9894/366, 9456/685 is

GCF of Numerators i.e. for 9894,9456 is 6

LCM of denominators i.e. for 366,685 is 250710.

Thus, GCF of Fractions is 6/250710.Finally, GCF of Fractions for 9894/366, 9456/685 is 6/250710.