Greatest Common Factor of 828/78, 3540/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/78, 3540/846

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 828/78,3540/846

Given fractions are 828/78,3540/846

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 828,3540

Greatest Common Factor of Numerators i.e. GCF of 828,3540 is 12 .

LCM of Denominators means LCM of 78,846 as per the given fractions.

LCM of 78,846 is 10998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,3540

GCF of Fractions 828/78,3540/846 is 12/10998

2 828, 3540
2 414, 1770
3 207, 885
69, 295

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 828,3540 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,3540 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540

Greatest Common Factor

We found the factors 828,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 828,3540 is 12.

Lets's calculate LCM of 78,846

2 78, 846
3 39, 423
13, 141

∴ So the LCM of the given numbers is 2 x 3 x 13 x 141 = 10998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/10998

Therefore, the GCF of Fractions 828/78,3540/846 is 12/10998

Least Common Multiple of 78,846 with GCF Formula

Least Common Multiple of 78,846 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 78,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,846) = 6

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

GCF(78,846) x common factors =6 x 1 = 6

LCM(78,846) = ( 78 × 846 ) / 6

LCM(78,846) = 65988 / 6

LCM(78,846) = 10998


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 828/78, 3540/846

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 828/78, 3540/846?

Answer: GCF of Numerators as per given numbers 828/78, 3540/846 is

GCF of Numerators i.e. for 828,3540 is 12

LCM of denominators i.e. for 78,846 is 10998.

Thus, GCF of Fractions is 12/10998.Finally, GCF of Fractions for 828/78, 3540/846 is 12/10998.