Greatest Common Factor of 111/77, 941/21, 354/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 111/77, 941/21, 354/499

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 111/77,941/21,354/499

Given fractions are 111/77,941/21,354/499

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 111,941,354

Greatest Common Factor of Numerators i.e. GCF of 111,941,354 is 1 .

LCM of Denominators means LCM of 77,21,499 as per the given fractions.

LCM of 77,21,499 is 115269 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 111,941,354

GCF of Fractions 111/77,941/21,354/499 is 1/115269

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

Greatest Common Factor of 111,941,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,941,354 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 111,941,354 . The biggest common factor number is the GCF number.
So the greatest common factor 111,941,354 is 1.

Lets's calculate LCM of 77,21,499

7 77, 21, 499
11, 3, 499

∴ So the LCM of the given numbers is 7 x 11 x 3 x 499 = 115269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115269

Therefore, the GCF of Fractions 111/77,941/21,354/499 is 1/115269

Least Common Multiple of 77,21,499 with GCF Formula

Least Common Multiple of 77,21,499 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 77,21,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,21,499) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,21,499) x common factors =1 x 7 = 7

LCM(77,21,499) = ( 77 × 21 × 499 ) / 7

LCM(77,21,499) = 806883 / 7

LCM(77,21,499) = 115269


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 111/77, 941/21, 354/499

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 111/77, 941/21, 354/499?

Answer: GCF of Numerators as per given numbers 111/77, 941/21, 354/499 is

GCF of Numerators i.e. for 111,941,354 is 1

LCM of denominators i.e. for 77,21,499 is 115269.

Thus, GCF of Fractions is 1/115269.Finally, GCF of Fractions for 111/77, 941/21, 354/499 is 1/115269.