Greatest Common Factor of 805/607, 106/930, 946/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/607, 106/930, 946/612

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 805/607,106/930,946/612

Given fractions are 805/607,106/930,946/612

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 805,106,946

Greatest Common Factor of Numerators i.e. GCF of 805,106,946 is 1 .

LCM of Denominators means LCM of 607,930,612 as per the given fractions.

LCM of 607,930,612 is 57580020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,106,946

GCF of Fractions 805/607,106/930,946/612 is 1/57580020

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

Greatest Common Factor of 805,106,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,106,946 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 805,106,946 . The biggest common factor number is the GCF number.
So the greatest common factor 805,106,946 is 1.

Lets's calculate LCM of 607,930,612

2 607, 930, 612
3 607, 465, 306
607, 155, 102

∴ So the LCM of the given numbers is 2 x 3 x 607 x 155 x 102 = 57580020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57580020

Therefore, the GCF of Fractions 805/607,106/930,946/612 is 1/57580020

Least Common Multiple of 607,930,612 with GCF Formula

Least Common Multiple of 607,930,612 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 607,930,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,930,612) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(607,930,612) x common factors =1 x 6 = 6

LCM(607,930,612) = ( 607 × 930 × 612 ) / 6

LCM(607,930,612) = 345480120 / 6

LCM(607,930,612) = 57580020


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 805/607, 106/930, 946/612

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 805/607, 106/930, 946/612?

Answer: GCF of Numerators as per given numbers 805/607, 106/930, 946/612 is

GCF of Numerators i.e. for 805,106,946 is 1

LCM of denominators i.e. for 607,930,612 is 57580020.

Thus, GCF of Fractions is 1/57580020.Finally, GCF of Fractions for 805/607, 106/930, 946/612 is 1/57580020.