Greatest Common Factor of 682/50, 889/56, 922/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/50, 889/56, 922/259

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 682/50,889/56,922/259

Given fractions are 682/50,889/56,922/259

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 682,889,922

Greatest Common Factor of Numerators i.e. GCF of 682,889,922 is 1 .

LCM of Denominators means LCM of 50,56,259 as per the given fractions.

LCM of 50,56,259 is 51800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,889,922

GCF of Fractions 682/50,889/56,922/259 is 1/51800

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

Greatest Common Factor of 682,889,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,889,922 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 682,889,922 . The biggest common factor number is the GCF number.
So the greatest common factor 682,889,922 is 1.

Lets's calculate LCM of 50,56,259

2 50, 56, 259
7 25, 28, 259
25, 4, 37

∴ So the LCM of the given numbers is 2 x 7 x 25 x 4 x 37 = 51800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51800

Therefore, the GCF of Fractions 682/50,889/56,922/259 is 1/51800

Least Common Multiple of 50,56,259 with GCF Formula

Least Common Multiple of 50,56,259 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 50,56,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,56,259) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(50,56,259) x common factors =1 x 14 = 14

LCM(50,56,259) = ( 50 × 56 × 259 ) / 14

LCM(50,56,259) = 725200 / 14

LCM(50,56,259) = 51800


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 682/50, 889/56, 922/259

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 682/50, 889/56, 922/259?

Answer: GCF of Numerators as per given numbers 682/50, 889/56, 922/259 is

GCF of Numerators i.e. for 682,889,922 is 1

LCM of denominators i.e. for 50,56,259 is 51800.

Thus, GCF of Fractions is 1/51800.Finally, GCF of Fractions for 682/50, 889/56, 922/259 is 1/51800.