Greatest Common Factor of 6703/71, 7046/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6703/71, 7046/671

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 6703/71,7046/671

Given fractions are 6703/71,7046/671

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 6703,7046

Greatest Common Factor of Numerators i.e. GCF of 6703,7046 is 1 .

LCM of Denominators means LCM of 71,671 as per the given fractions.

LCM of 71,671 is 47641 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6703,7046

GCF of Fractions 6703/71,7046/671 is 1/47641

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

Greatest Common Factor of 6703,7046 By Matching Biggest Common Factor Method

Greatest Common Factor of 6703,7046 By Matching Biggest Common Factor Method

Factors of 6703

List of positive integer factors of 6703 that divides 6703 without a remainder.

1,6703

Factors of 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1,2,13,26,271,542,3523,7046

Greatest Common Factor

We found the factors 6703,7046 . The biggest common factor number is the GCF number.
So the greatest common factor 6703,7046 is 1.

Lets's calculate LCM of 71,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 47641

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47641

Therefore, the GCF of Fractions 6703/71,7046/671 is 1/47641

Least Common Multiple of 71,671 with GCF Formula

Least Common Multiple of 71,671 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 71,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,671) = 1

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

GCF(71,671) x common factors =1 x 1 = 1

LCM(71,671) = ( 71 × 671 ) / 1

LCM(71,671) = 47641 / 1

LCM(71,671) = 47641


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 6703/71, 7046/671

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 6703/71, 7046/671?

Answer: GCF of Numerators as per given numbers 6703/71, 7046/671 is

GCF of Numerators i.e. for 6703,7046 is 1

LCM of denominators i.e. for 71,671 is 47641.

Thus, GCF of Fractions is 1/47641.Finally, GCF of Fractions for 6703/71, 7046/671 is 1/47641.