Greatest Common Factor of 854/3266, 705/5702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 854/3266, 705/5702

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 854/3266,705/5702

Given fractions are 854/3266,705/5702

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 854,705

Greatest Common Factor of Numerators i.e. GCF of 854,705 is 1 .

LCM of Denominators means LCM of 3266,5702 as per the given fractions.

LCM of 3266,5702 is 9311366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 854,705

GCF of Fractions 854/3266,705/5702 is 1/9311366

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

Greatest Common Factor of 854,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,705 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 854,705 . The biggest common factor number is the GCF number.
So the greatest common factor 854,705 is 1.

Lets's calculate LCM of 3266,5702

2 3266, 5702
1633, 2851

∴ So the LCM of the given numbers is 2 x 1633 x 2851 = 9311366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9311366

Therefore, the GCF of Fractions 854/3266,705/5702 is 1/9311366

Least Common Multiple of 3266,5702 with GCF Formula

Least Common Multiple of 3266,5702 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 3266,5702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3266,5702) = 2

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

GCF(3266,5702) x common factors =2 x 1 = 2

LCM(3266,5702) = ( 3266 × 5702 ) / 2

LCM(3266,5702) = 18622732 / 2

LCM(3266,5702) = 9311366


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 854/3266, 705/5702

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 854/3266, 705/5702?

Answer: GCF of Numerators as per given numbers 854/3266, 705/5702 is

GCF of Numerators i.e. for 854,705 is 1

LCM of denominators i.e. for 3266,5702 is 9311366.

Thus, GCF of Fractions is 1/9311366.Finally, GCF of Fractions for 854/3266, 705/5702 is 1/9311366.