Greatest Common Factor of 99/49, 921/78, 445/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/49, 921/78, 445/236

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 99/49,921/78,445/236

Given fractions are 99/49,921/78,445/236

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 99,921,445

Greatest Common Factor of Numerators i.e. GCF of 99,921,445 is 1 .

LCM of Denominators means LCM of 49,78,236 as per the given fractions.

LCM of 49,78,236 is 450996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,921,445

GCF of Fractions 99/49,921/78,445/236 is 1/450996

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

Greatest Common Factor of 99,921,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,921,445 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 99,921,445 . The biggest common factor number is the GCF number.
So the greatest common factor 99,921,445 is 1.

Lets's calculate LCM of 49,78,236

2 49, 78, 236
49, 39, 118

∴ So the LCM of the given numbers is 2 x 49 x 39 x 118 = 450996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450996

Therefore, the GCF of Fractions 99/49,921/78,445/236 is 1/450996

Least Common Multiple of 49,78,236 with GCF Formula

Least Common Multiple of 49,78,236 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 49,78,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,78,236) = 1

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

GCF(49,78,236) x common factors =1 x 2 = 2

LCM(49,78,236) = ( 49 × 78 × 236 ) / 2

LCM(49,78,236) = 901992 / 2

LCM(49,78,236) = 450996


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 99/49, 921/78, 445/236

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 99/49, 921/78, 445/236?

Answer: GCF of Numerators as per given numbers 99/49, 921/78, 445/236 is

GCF of Numerators i.e. for 99,921,445 is 1

LCM of denominators i.e. for 49,78,236 is 450996.

Thus, GCF of Fractions is 1/450996.Finally, GCF of Fractions for 99/49, 921/78, 445/236 is 1/450996.