Greatest Common Factor of 3503/530, 2600/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3503/530, 2600/677

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 3503/530,2600/677

Given fractions are 3503/530,2600/677

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 3503,2600

Greatest Common Factor of Numerators i.e. GCF of 3503,2600 is 1 .

LCM of Denominators means LCM of 530,677 as per the given fractions.

LCM of 530,677 is 358810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3503,2600

GCF of Fractions 3503/530,2600/677 is 1/358810

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

Greatest Common Factor of 3503,2600 By Matching Biggest Common Factor Method

Greatest Common Factor of 3503,2600 By Matching Biggest Common Factor Method

Factors of 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1,31,113,3503

Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600

Greatest Common Factor

We found the factors 3503,2600 . The biggest common factor number is the GCF number.
So the greatest common factor 3503,2600 is 1.

Lets's calculate LCM of 530,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 358810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358810

Therefore, the GCF of Fractions 3503/530,2600/677 is 1/358810

Least Common Multiple of 530,677 with GCF Formula

Least Common Multiple of 530,677 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 530,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,677) = 1

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

GCF(530,677) x common factors =1 x 1 = 1

LCM(530,677) = ( 530 × 677 ) / 1

LCM(530,677) = 358810 / 1

LCM(530,677) = 358810


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 3503/530, 2600/677

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 3503/530, 2600/677?

Answer: GCF of Numerators as per given numbers 3503/530, 2600/677 is

GCF of Numerators i.e. for 3503,2600 is 1

LCM of denominators i.e. for 530,677 is 358810.

Thus, GCF of Fractions is 1/358810.Finally, GCF of Fractions for 3503/530, 2600/677 is 1/358810.