Greatest Common Factor of 7750/412, 8867/8354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7750/412, 8867/8354

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 7750/412,8867/8354

Given fractions are 7750/412,8867/8354

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 7750,8867

Greatest Common Factor of Numerators i.e. GCF of 7750,8867 is 1 .

LCM of Denominators means LCM of 412,8354 as per the given fractions.

LCM of 412,8354 is 1720924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7750,8867

GCF of Fractions 7750/412,8867/8354 is 1/1720924

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

Greatest Common Factor of 7750,8867 By Matching Biggest Common Factor Method

Greatest Common Factor of 7750,8867 By Matching Biggest Common Factor Method

Factors of 7750

List of positive integer factors of 7750 that divides 7750 without a remainder.

1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750

Factors of 8867

List of positive integer factors of 8867 that divides 8867 without a remainder.

1,8867

Greatest Common Factor

We found the factors 7750,8867 . The biggest common factor number is the GCF number.
So the greatest common factor 7750,8867 is 1.

Lets's calculate LCM of 412,8354

2 412, 8354
206, 4177

∴ So the LCM of the given numbers is 2 x 206 x 4177 = 1720924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1720924

Therefore, the GCF of Fractions 7750/412,8867/8354 is 1/1720924

Least Common Multiple of 412,8354 with GCF Formula

Least Common Multiple of 412,8354 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 412,8354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,8354) = 2

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

GCF(412,8354) x common factors =2 x 1 = 2

LCM(412,8354) = ( 412 × 8354 ) / 2

LCM(412,8354) = 3441848 / 2

LCM(412,8354) = 1720924


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 7750/412, 8867/8354

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 7750/412, 8867/8354?

Answer: GCF of Numerators as per given numbers 7750/412, 8867/8354 is

GCF of Numerators i.e. for 7750,8867 is 1

LCM of denominators i.e. for 412,8354 is 1720924.

Thus, GCF of Fractions is 1/1720924.Finally, GCF of Fractions for 7750/412, 8867/8354 is 1/1720924.