Greatest Common Factor of 69/29, 90/14, 50/19, 764/94

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/29, 90/14, 50/19, 764/94

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 69/29,90/14,50/19,764/94

Given fractions are 69/29,90/14,50/19,764/94

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 69,90,50,764

Greatest Common Factor of Numerators i.e. GCF of 69,90,50,764 is 1 .

LCM of Denominators means LCM of 29,14,19,94 as per the given fractions.

LCM of 29,14,19,94 is 362558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,90,50,764

GCF of Fractions 69/29,90/14,50/19,764/94 is 1/362558

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

Greatest Common Factor of 69,90,50,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,90,50,764 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 69,90,50,764 . The biggest common factor number is the GCF number.
So the greatest common factor 69,90,50,764 is 1.

Lets's calculate LCM of 29,14,19,94

2 29, 14, 19, 94
29, 7, 19, 47

∴ So the LCM of the given numbers is 2 x 29 x 7 x 19 x 47 = 362558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362558

Therefore, the GCF of Fractions 69/29,90/14,50/19,764/94 is 1/362558

Least Common Multiple of 29,14,19,94 with GCF Formula

Least Common Multiple of 29,14,19,94 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 29,14,19,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,14,19,94) = 1

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

GCF(29,14,19,94) x common factors =1 x 2 = 2

LCM(29,14,19,94) = ( 29 × 14 × 19 × 94 ) / 2

LCM(29,14,19,94) = 725116 / 2

LCM(29,14,19,94) = 362558


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 69/29, 90/14, 50/19, 764/94

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 69/29, 90/14, 50/19, 764/94?

Answer: GCF of Numerators as per given numbers 69/29, 90/14, 50/19, 764/94 is

GCF of Numerators i.e. for 69,90,50,764 is 1

LCM of denominators i.e. for 29,14,19,94 is 362558.

Thus, GCF of Fractions is 1/362558.Finally, GCF of Fractions for 69/29, 90/14, 50/19, 764/94 is 1/362558.