Greatest Common Factor of 69/63, 73/91, 17/94, 70/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/63, 73/91, 17/94, 70/399

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 69/63,73/91,17/94,70/399

Given fractions are 69/63,73/91,17/94,70/399

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 69,73,17,70

Greatest Common Factor of Numerators i.e. GCF of 69,73,17,70 is 1 .

LCM of Denominators means LCM of 63,91,94,399 as per the given fractions.

LCM of 63,91,94,399 is 1462734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,73,17,70

GCF of Fractions 69/63,73/91,17/94,70/399 is 1/1462734

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

Greatest Common Factor of 69,73,17,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,73,17,70 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 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 69,73,17,70 . The biggest common factor number is the GCF number.
So the greatest common factor 69,73,17,70 is 1.

Lets's calculate LCM of 63,91,94,399

3 63, 91, 94, 399
7 21, 91, 94, 133
3, 13, 94, 19

∴ So the LCM of the given numbers is 3 x 7 x 3 x 13 x 94 x 19 = 1462734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1462734

Therefore, the GCF of Fractions 69/63,73/91,17/94,70/399 is 1/1462734

Least Common Multiple of 63,91,94,399 with GCF Formula

Least Common Multiple of 63,91,94,399 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 63,91,94,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,91,94,399) = 1

common factors(in case of two or more numbers have common factors) = 147

GCF(63,91,94,399) x common factors =1 x 147 = 147

LCM(63,91,94,399) = ( 63 × 91 × 94 × 399 ) / 147

LCM(63,91,94,399) = 215021898 / 147

LCM(63,91,94,399) = 1462734


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 69/63, 73/91, 17/94, 70/399

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 69/63, 73/91, 17/94, 70/399?

Answer: GCF of Numerators as per given numbers 69/63, 73/91, 17/94, 70/399 is

GCF of Numerators i.e. for 69,73,17,70 is 1

LCM of denominators i.e. for 63,91,94,399 is 1462734.

Thus, GCF of Fractions is 1/1462734.Finally, GCF of Fractions for 69/63, 73/91, 17/94, 70/399 is 1/1462734.