Greatest Common Factor of 7182/781, 5864/8450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7182/781, 5864/8450

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 7182/781,5864/8450

Given fractions are 7182/781,5864/8450

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 7182,5864

Greatest Common Factor of Numerators i.e. GCF of 7182,5864 is 2 .

LCM of Denominators means LCM of 781,8450 as per the given fractions.

LCM of 781,8450 is 6599450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7182,5864

GCF of Fractions 7182/781,5864/8450 is 2/6599450

2 7182, 5864
3591, 2932

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7182,5864 By Matching Biggest Common Factor Method

Greatest Common Factor of 7182,5864 By Matching Biggest Common Factor Method

Factors of 7182

List of positive integer factors of 7182 that divides 7182 without a remainder.

1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182

Factors of 5864

List of positive integer factors of 5864 that divides 5864 without a remainder.

1,2,4,8,733,1466,2932,5864

Greatest Common Factor

We found the factors 7182,5864 . The biggest common factor number is the GCF number.
So the greatest common factor 7182,5864 is 2.

Lets's calculate LCM of 781,8450

Given numbers has no common factors except 1. So, there LCM is their product i.e 6599450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6599450

Therefore, the GCF of Fractions 7182/781,5864/8450 is 2/6599450

Least Common Multiple of 781,8450 with GCF Formula

Least Common Multiple of 781,8450 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 781,8450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,8450) = 1

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

GCF(781,8450) x common factors =1 x 1 = 1

LCM(781,8450) = ( 781 × 8450 ) / 1

LCM(781,8450) = 6599450 / 1

LCM(781,8450) = 6599450


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 7182/781, 5864/8450

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 7182/781, 5864/8450?

Answer: GCF of Numerators as per given numbers 7182/781, 5864/8450 is

GCF of Numerators i.e. for 7182,5864 is 2

LCM of denominators i.e. for 781,8450 is 6599450.

Thus, GCF of Fractions is 2/6599450.Finally, GCF of Fractions for 7182/781, 5864/8450 is 2/6599450.