Greatest Common Factor of 835/76, 355/49, 454/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 835/76, 355/49, 454/99

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 835/76,355/49,454/99

Given fractions are 835/76,355/49,454/99

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 835,355,454

Greatest Common Factor of Numerators i.e. GCF of 835,355,454 is 1 .

LCM of Denominators means LCM of 76,49,99 as per the given fractions.

LCM of 76,49,99 is 368676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 835,355,454

GCF of Fractions 835/76,355/49,454/99 is 1/368676

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

Greatest Common Factor of 835,355,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,355,454 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 835,355,454 . The biggest common factor number is the GCF number.
So the greatest common factor 835,355,454 is 1.

Lets's calculate LCM of 76,49,99

Given numbers has no common factors except 1. So, there LCM is their product i.e 368676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368676

Therefore, the GCF of Fractions 835/76,355/49,454/99 is 1/368676

Least Common Multiple of 76,49,99 with GCF Formula

Least Common Multiple of 76,49,99 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 76,49,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,49,99) = 1

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

GCF(76,49,99) x common factors =1 x 1 = 1

LCM(76,49,99) = ( 76 × 49 × 99 ) / 1

LCM(76,49,99) = 368676 / 1

LCM(76,49,99) = 368676


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 835/76, 355/49, 454/99

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 835/76, 355/49, 454/99?

Answer: GCF of Numerators as per given numbers 835/76, 355/49, 454/99 is

GCF of Numerators i.e. for 835,355,454 is 1

LCM of denominators i.e. for 76,49,99 is 368676.

Thus, GCF of Fractions is 1/368676.Finally, GCF of Fractions for 835/76, 355/49, 454/99 is 1/368676.