Greatest Common Factor of 35/347, 587/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/347, 587/577

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 35/347,587/577

Given fractions are 35/347,587/577

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 35,587

Greatest Common Factor of Numerators i.e. GCF of 35,587 is 1 .

LCM of Denominators means LCM of 347,577 as per the given fractions.

LCM of 347,577 is 200219 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,587

GCF of Fractions 35/347,587/577 is 1/200219

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

Greatest Common Factor of 35,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,587 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 35,587 . The biggest common factor number is the GCF number.
So the greatest common factor 35,587 is 1.

Lets's calculate LCM of 347,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 200219

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200219

Therefore, the GCF of Fractions 35/347,587/577 is 1/200219

Least Common Multiple of 347,577 with GCF Formula

Least Common Multiple of 347,577 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 347,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,577) = 1

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

GCF(347,577) x common factors =1 x 1 = 1

LCM(347,577) = ( 347 × 577 ) / 1

LCM(347,577) = 200219 / 1

LCM(347,577) = 200219


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 35/347, 587/577

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 35/347, 587/577?

Answer: GCF of Numerators as per given numbers 35/347, 587/577 is

GCF of Numerators i.e. for 35,587 is 1

LCM of denominators i.e. for 347,577 is 200219.

Thus, GCF of Fractions is 1/200219.Finally, GCF of Fractions for 35/347, 587/577 is 1/200219.