Greatest Common Factor of 6604/701, 6970/1543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6604/701, 6970/1543

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 6604/701,6970/1543

Given fractions are 6604/701,6970/1543

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 6604,6970

Greatest Common Factor of Numerators i.e. GCF of 6604,6970 is 2 .

LCM of Denominators means LCM of 701,1543 as per the given fractions.

LCM of 701,1543 is 1081643 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6604,6970

GCF of Fractions 6604/701,6970/1543 is 2/1081643

2 6604, 6970
3302, 3485

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6604,6970 By Matching Biggest Common Factor Method

Greatest Common Factor of 6604,6970 By Matching Biggest Common Factor Method

Factors of 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1,2,4,13,26,52,127,254,508,1651,3302,6604

Factors of 6970

List of positive integer factors of 6970 that divides 6970 without a remainder.

1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970

Greatest Common Factor

We found the factors 6604,6970 . The biggest common factor number is the GCF number.
So the greatest common factor 6604,6970 is 2.

Lets's calculate LCM of 701,1543

Given numbers has no common factors except 1. So, there LCM is their product i.e 1081643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1081643

Therefore, the GCF of Fractions 6604/701,6970/1543 is 2/1081643

Least Common Multiple of 701,1543 with GCF Formula

Least Common Multiple of 701,1543 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 701,1543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,1543) = 1

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

GCF(701,1543) x common factors =1 x 1 = 1

LCM(701,1543) = ( 701 × 1543 ) / 1

LCM(701,1543) = 1081643 / 1

LCM(701,1543) = 1081643


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 6604/701, 6970/1543

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 6604/701, 6970/1543?

Answer: GCF of Numerators as per given numbers 6604/701, 6970/1543 is

GCF of Numerators i.e. for 6604,6970 is 2

LCM of denominators i.e. for 701,1543 is 1081643.

Thus, GCF of Fractions is 2/1081643.Finally, GCF of Fractions for 6604/701, 6970/1543 is 2/1081643.