Greatest Common Factor of 347/858, 795/261, 680/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 347/858, 795/261, 680/770

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 347/858,795/261,680/770

Given fractions are 347/858,795/261,680/770

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 347,795,680

Greatest Common Factor of Numerators i.e. GCF of 347,795,680 is 1 .

LCM of Denominators means LCM of 858,261,770 as per the given fractions.

LCM of 858,261,770 is 2612610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 347,795,680

GCF of Fractions 347/858,795/261,680/770 is 1/2612610

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

Greatest Common Factor of 347,795,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,795,680 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 347,795,680 . The biggest common factor number is the GCF number.
So the greatest common factor 347,795,680 is 1.

Lets's calculate LCM of 858,261,770

2 858, 261, 770
3 429, 261, 385
11 143, 87, 385
13, 87, 35

∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 87 x 35 = 2612610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2612610

Therefore, the GCF of Fractions 347/858,795/261,680/770 is 1/2612610

Least Common Multiple of 858,261,770 with GCF Formula

Least Common Multiple of 858,261,770 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 858,261,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,261,770) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(858,261,770) x common factors =1 x 66 = 66

LCM(858,261,770) = ( 858 × 261 × 770 ) / 66

LCM(858,261,770) = 172432260 / 66

LCM(858,261,770) = 2612610


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 347/858, 795/261, 680/770

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 347/858, 795/261, 680/770?

Answer: GCF of Numerators as per given numbers 347/858, 795/261, 680/770 is

GCF of Numerators i.e. for 347,795,680 is 1

LCM of denominators i.e. for 858,261,770 is 2612610.

Thus, GCF of Fractions is 1/2612610.Finally, GCF of Fractions for 347/858, 795/261, 680/770 is 1/2612610.