Greatest Common Factor of 17/69, 31/89, 370/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/69, 31/89, 370/574

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 17/69,31/89,370/574

Given fractions are 17/69,31/89,370/574

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 17,31,370

Greatest Common Factor of Numerators i.e. GCF of 17,31,370 is 1 .

LCM of Denominators means LCM of 69,89,574 as per the given fractions.

LCM of 69,89,574 is 3524934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,31,370

GCF of Fractions 17/69,31/89,370/574 is 1/3524934

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

Greatest Common Factor of 17,31,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,31,370 By Matching Biggest Common Factor Method

Factors of 17

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

1,17

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 17,31,370 . The biggest common factor number is the GCF number.
So the greatest common factor 17,31,370 is 1.

Lets's calculate LCM of 69,89,574

Given numbers has no common factors except 1. So, there LCM is their product i.e 3524934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3524934

Therefore, the GCF of Fractions 17/69,31/89,370/574 is 1/3524934

Least Common Multiple of 69,89,574 with GCF Formula

Least Common Multiple of 69,89,574 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 69,89,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,89,574) = 1

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

GCF(69,89,574) x common factors =1 x 1 = 1

LCM(69,89,574) = ( 69 × 89 × 574 ) / 1

LCM(69,89,574) = 3524934 / 1

LCM(69,89,574) = 3524934


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 17/69, 31/89, 370/574

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 17/69, 31/89, 370/574?

Answer: GCF of Numerators as per given numbers 17/69, 31/89, 370/574 is

GCF of Numerators i.e. for 17,31,370 is 1

LCM of denominators i.e. for 69,89,574 is 3524934.

Thus, GCF of Fractions is 1/3524934.Finally, GCF of Fractions for 17/69, 31/89, 370/574 is 1/3524934.