Greatest Common Factor of 351/91, 526/58, 469/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/91, 526/58, 469/235

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 351/91,526/58,469/235

Given fractions are 351/91,526/58,469/235

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 351,526,469

Greatest Common Factor of Numerators i.e. GCF of 351,526,469 is 1 .

LCM of Denominators means LCM of 91,58,235 as per the given fractions.

LCM of 91,58,235 is 1240330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,526,469

GCF of Fractions 351/91,526/58,469/235 is 1/1240330

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

Greatest Common Factor of 351,526,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,526,469 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 351,526,469 . The biggest common factor number is the GCF number.
So the greatest common factor 351,526,469 is 1.

Lets's calculate LCM of 91,58,235

Given numbers has no common factors except 1. So, there LCM is their product i.e 1240330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1240330

Therefore, the GCF of Fractions 351/91,526/58,469/235 is 1/1240330

Least Common Multiple of 91,58,235 with GCF Formula

Least Common Multiple of 91,58,235 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 91,58,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,58,235) = 1

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

GCF(91,58,235) x common factors =1 x 1 = 1

LCM(91,58,235) = ( 91 × 58 × 235 ) / 1

LCM(91,58,235) = 1240330 / 1

LCM(91,58,235) = 1240330


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 351/91, 526/58, 469/235

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 351/91, 526/58, 469/235?

Answer: GCF of Numerators as per given numbers 351/91, 526/58, 469/235 is

GCF of Numerators i.e. for 351,526,469 is 1

LCM of denominators i.e. for 91,58,235 is 1240330.

Thus, GCF of Fractions is 1/1240330.Finally, GCF of Fractions for 351/91, 526/58, 469/235 is 1/1240330.