Greatest Common Factor of 6949/814, 2600/3499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6949/814, 2600/3499

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 6949/814,2600/3499

Given fractions are 6949/814,2600/3499

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 6949,2600

Greatest Common Factor of Numerators i.e. GCF of 6949,2600 is 1 .

LCM of Denominators means LCM of 814,3499 as per the given fractions.

LCM of 814,3499 is 2848186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6949,2600

GCF of Fractions 6949/814,2600/3499 is 1/2848186

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

Greatest Common Factor of 6949,2600 By Matching Biggest Common Factor Method

Greatest Common Factor of 6949,2600 By Matching Biggest Common Factor Method

Factors of 6949

List of positive integer factors of 6949 that divides 6949 without a remainder.

1,6949

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 6949,2600 . The biggest common factor number is the GCF number.
So the greatest common factor 6949,2600 is 1.

Lets's calculate LCM of 814,3499

Given numbers has no common factors except 1. So, there LCM is their product i.e 2848186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2848186

Therefore, the GCF of Fractions 6949/814,2600/3499 is 1/2848186

Least Common Multiple of 814,3499 with GCF Formula

Least Common Multiple of 814,3499 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 814,3499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,3499) = 1

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

GCF(814,3499) x common factors =1 x 1 = 1

LCM(814,3499) = ( 814 × 3499 ) / 1

LCM(814,3499) = 2848186 / 1

LCM(814,3499) = 2848186


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 6949/814, 2600/3499

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 6949/814, 2600/3499?

Answer: GCF of Numerators as per given numbers 6949/814, 2600/3499 is

GCF of Numerators i.e. for 6949,2600 is 1

LCM of denominators i.e. for 814,3499 is 2848186.

Thus, GCF of Fractions is 1/2848186.Finally, GCF of Fractions for 6949/814, 2600/3499 is 1/2848186.