Greatest Common Factor of 69/54, 49/89, 358/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/54, 49/89, 358/887

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 69/54,49/89,358/887

Given fractions are 69/54,49/89,358/887

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 69,49,358

Greatest Common Factor of Numerators i.e. GCF of 69,49,358 is 1 .

LCM of Denominators means LCM of 54,89,887 as per the given fractions.

LCM of 54,89,887 is 4262922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,49,358

GCF of Fractions 69/54,49/89,358/887 is 1/4262922

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

Greatest Common Factor of 69,49,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,49,358 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 69,49,358 . The biggest common factor number is the GCF number.
So the greatest common factor 69,49,358 is 1.

Lets's calculate LCM of 54,89,887

Given numbers has no common factors except 1. So, there LCM is their product i.e 4262922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4262922

Therefore, the GCF of Fractions 69/54,49/89,358/887 is 1/4262922

Least Common Multiple of 54,89,887 with GCF Formula

Least Common Multiple of 54,89,887 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 54,89,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,89,887) = 1

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

GCF(54,89,887) x common factors =1 x 1 = 1

LCM(54,89,887) = ( 54 × 89 × 887 ) / 1

LCM(54,89,887) = 4262922 / 1

LCM(54,89,887) = 4262922


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 69/54, 49/89, 358/887

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 69/54, 49/89, 358/887?

Answer: GCF of Numerators as per given numbers 69/54, 49/89, 358/887 is

GCF of Numerators i.e. for 69,49,358 is 1

LCM of denominators i.e. for 54,89,887 is 4262922.

Thus, GCF of Fractions is 1/4262922.Finally, GCF of Fractions for 69/54, 49/89, 358/887 is 1/4262922.