Greatest Common Factor of 1074/17, 5225/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1074/17, 5225/160

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 1074/17,5225/160

Given fractions are 1074/17,5225/160

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 1074,5225

Greatest Common Factor of Numerators i.e. GCF of 1074,5225 is 1 .

LCM of Denominators means LCM of 17,160 as per the given fractions.

LCM of 17,160 is 2720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1074,5225

GCF of Fractions 1074/17,5225/160 is 1/2720

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

Greatest Common Factor of 1074,5225 By Matching Biggest Common Factor Method

Greatest Common Factor of 1074,5225 By Matching Biggest Common Factor Method

Factors of 1074

List of positive integer factors of 1074 that divides 1074 without a remainder.

1,2,3,6,179,358,537,1074

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1,5,11,19,25,55,95,209,275,475,1045,5225

Greatest Common Factor

We found the factors 1074,5225 . The biggest common factor number is the GCF number.
So the greatest common factor 1074,5225 is 1.

Lets's calculate LCM of 17,160

Given numbers has no common factors except 1. So, there LCM is their product i.e 2720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2720

Therefore, the GCF of Fractions 1074/17,5225/160 is 1/2720

Least Common Multiple of 17,160 with GCF Formula

Least Common Multiple of 17,160 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 17,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,160) = 1

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

GCF(17,160) x common factors =1 x 1 = 1

LCM(17,160) = ( 17 × 160 ) / 1

LCM(17,160) = 2720 / 1

LCM(17,160) = 2720


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 1074/17, 5225/160

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 1074/17, 5225/160?

Answer: GCF of Numerators as per given numbers 1074/17, 5225/160 is

GCF of Numerators i.e. for 1074,5225 is 1

LCM of denominators i.e. for 17,160 is 2720.

Thus, GCF of Fractions is 1/2720.Finally, GCF of Fractions for 1074/17, 5225/160 is 1/2720.