Greatest Common Factor of 5040/787, 8364/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5040/787, 8364/898

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 5040/787,8364/898

Given fractions are 5040/787,8364/898

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 5040,8364

Greatest Common Factor of Numerators i.e. GCF of 5040,8364 is 12 .

LCM of Denominators means LCM of 787,898 as per the given fractions.

LCM of 787,898 is 706726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5040,8364

GCF of Fractions 5040/787,8364/898 is 12/706726

2 5040, 8364
2 2520, 4182
3 1260, 2091
420, 697

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

Greatest Common Factor of 5040,8364 By Matching Biggest Common Factor Method

Greatest Common Factor of 5040,8364 By Matching Biggest Common Factor Method

Factors of 5040

List of positive integer factors of 5040 that divides 5040 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364

Greatest Common Factor

We found the factors 5040,8364 . The biggest common factor number is the GCF number.
So the greatest common factor 5040,8364 is 12.

Lets's calculate LCM of 787,898

Given numbers has no common factors except 1. So, there LCM is their product i.e 706726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/706726

Therefore, the GCF of Fractions 5040/787,8364/898 is 12/706726

Least Common Multiple of 787,898 with GCF Formula

Least Common Multiple of 787,898 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 787,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,898) = 1

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

GCF(787,898) x common factors =1 x 1 = 1

LCM(787,898) = ( 787 × 898 ) / 1

LCM(787,898) = 706726 / 1

LCM(787,898) = 706726


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 5040/787, 8364/898

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 5040/787, 8364/898?

Answer: GCF of Numerators as per given numbers 5040/787, 8364/898 is

GCF of Numerators i.e. for 5040,8364 is 12

LCM of denominators i.e. for 787,898 is 706726.

Thus, GCF of Fractions is 12/706726.Finally, GCF of Fractions for 5040/787, 8364/898 is 12/706726.