Greatest Common Factor of 175/97, 707/41, 589/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 175/97, 707/41, 589/499

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 175/97,707/41,589/499

Given fractions are 175/97,707/41,589/499

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 175,707,589

Greatest Common Factor of Numerators i.e. GCF of 175,707,589 is 1 .

LCM of Denominators means LCM of 97,41,499 as per the given fractions.

LCM of 97,41,499 is 1984523 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 175,707,589

GCF of Fractions 175/97,707/41,589/499 is 1/1984523

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

Greatest Common Factor of 175,707,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,707,589 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 175,707,589 . The biggest common factor number is the GCF number.
So the greatest common factor 175,707,589 is 1.

Lets's calculate LCM of 97,41,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 1984523

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1984523

Therefore, the GCF of Fractions 175/97,707/41,589/499 is 1/1984523

Least Common Multiple of 97,41,499 with GCF Formula

Least Common Multiple of 97,41,499 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 97,41,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,41,499) = 1

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

GCF(97,41,499) x common factors =1 x 1 = 1

LCM(97,41,499) = ( 97 × 41 × 499 ) / 1

LCM(97,41,499) = 1984523 / 1

LCM(97,41,499) = 1984523


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 175/97, 707/41, 589/499

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 175/97, 707/41, 589/499?

Answer: GCF of Numerators as per given numbers 175/97, 707/41, 589/499 is

GCF of Numerators i.e. for 175,707,589 is 1

LCM of denominators i.e. for 97,41,499 is 1984523.

Thus, GCF of Fractions is 1/1984523.Finally, GCF of Fractions for 175/97, 707/41, 589/499 is 1/1984523.