Greatest Common Factor of 22/754, 46/110, 989/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/754, 46/110, 989/911

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 22/754,46/110,989/911

Given fractions are 22/754,46/110,989/911

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 22,46,989

Greatest Common Factor of Numerators i.e. GCF of 22,46,989 is 1 .

LCM of Denominators means LCM of 754,110,911 as per the given fractions.

LCM of 754,110,911 is 37779170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,46,989

GCF of Fractions 22/754,46/110,989/911 is 1/37779170

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

Greatest Common Factor of 22,46,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,46,989 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 22,46,989 . The biggest common factor number is the GCF number.
So the greatest common factor 22,46,989 is 1.

Lets's calculate LCM of 754,110,911

2 754, 110, 911
377, 55, 911

∴ So the LCM of the given numbers is 2 x 377 x 55 x 911 = 37779170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37779170

Therefore, the GCF of Fractions 22/754,46/110,989/911 is 1/37779170

Least Common Multiple of 754,110,911 with GCF Formula

Least Common Multiple of 754,110,911 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 754,110,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,110,911) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(754,110,911) x common factors =1 x 2 = 2

LCM(754,110,911) = ( 754 × 110 × 911 ) / 2

LCM(754,110,911) = 75558340 / 2

LCM(754,110,911) = 37779170


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 22/754, 46/110, 989/911

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 22/754, 46/110, 989/911?

Answer: GCF of Numerators as per given numbers 22/754, 46/110, 989/911 is

GCF of Numerators i.e. for 22,46,989 is 1

LCM of denominators i.e. for 754,110,911 is 37779170.

Thus, GCF of Fractions is 1/37779170.Finally, GCF of Fractions for 22/754, 46/110, 989/911 is 1/37779170.