Greatest Common Factor of 9058/28, 2771/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9058/28, 2771/175

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 9058/28,2771/175

Given fractions are 9058/28,2771/175

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 9058,2771

Greatest Common Factor of Numerators i.e. GCF of 9058,2771 is 1 .

LCM of Denominators means LCM of 28,175 as per the given fractions.

LCM of 28,175 is 700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9058,2771

GCF of Fractions 9058/28,2771/175 is 1/700

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

Greatest Common Factor of 9058,2771 By Matching Biggest Common Factor Method

Greatest Common Factor of 9058,2771 By Matching Biggest Common Factor Method

Factors of 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1,2,7,14,647,1294,4529,9058

Factors of 2771

List of positive integer factors of 2771 that divides 2771 without a remainder.

1,17,163,2771

Greatest Common Factor

We found the factors 9058,2771 . The biggest common factor number is the GCF number.
So the greatest common factor 9058,2771 is 1.

Lets's calculate LCM of 28,175

7 28, 175
4, 25

∴ So the LCM of the given numbers is 7 x 4 x 25 = 700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700

Therefore, the GCF of Fractions 9058/28,2771/175 is 1/700

Least Common Multiple of 28,175 with GCF Formula

Least Common Multiple of 28,175 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 28,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,175) = 7

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

GCF(28,175) x common factors =7 x 1 = 7

LCM(28,175) = ( 28 × 175 ) / 7

LCM(28,175) = 4900 / 7

LCM(28,175) = 700


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 9058/28, 2771/175

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 9058/28, 2771/175?

Answer: GCF of Numerators as per given numbers 9058/28, 2771/175 is

GCF of Numerators i.e. for 9058,2771 is 1

LCM of denominators i.e. for 28,175 is 700.

Thus, GCF of Fractions is 1/700.Finally, GCF of Fractions for 9058/28, 2771/175 is 1/700.