Greatest Common Factor of 6629/705, 3420/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6629/705, 3420/731

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 6629/705,3420/731

Given fractions are 6629/705,3420/731

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 6629,3420

Greatest Common Factor of Numerators i.e. GCF of 6629,3420 is 1 .

LCM of Denominators means LCM of 705,731 as per the given fractions.

LCM of 705,731 is 515355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6629,3420

GCF of Fractions 6629/705,3420/731 is 1/515355

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

Greatest Common Factor of 6629,3420 By Matching Biggest Common Factor Method

Greatest Common Factor of 6629,3420 By Matching Biggest Common Factor Method

Factors of 6629

List of positive integer factors of 6629 that divides 6629 without a remainder.

1,7,947,6629

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420

Greatest Common Factor

We found the factors 6629,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 6629,3420 is 1.

Lets's calculate LCM of 705,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 515355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515355

Therefore, the GCF of Fractions 6629/705,3420/731 is 1/515355

Least Common Multiple of 705,731 with GCF Formula

Least Common Multiple of 705,731 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 705,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,731) = 1

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

GCF(705,731) x common factors =1 x 1 = 1

LCM(705,731) = ( 705 × 731 ) / 1

LCM(705,731) = 515355 / 1

LCM(705,731) = 515355


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 6629/705, 3420/731

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 6629/705, 3420/731?

Answer: GCF of Numerators as per given numbers 6629/705, 3420/731 is

GCF of Numerators i.e. for 6629,3420 is 1

LCM of denominators i.e. for 705,731 is 515355.

Thus, GCF of Fractions is 1/515355.Finally, GCF of Fractions for 6629/705, 3420/731 is 1/515355.