Greatest Common Factor of 10/82, 434/46, 608/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/82, 434/46, 608/907

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 10/82,434/46,608/907

Given fractions are 10/82,434/46,608/907

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 10,434,608

Greatest Common Factor of Numerators i.e. GCF of 10,434,608 is 2 .

LCM of Denominators means LCM of 82,46,907 as per the given fractions.

LCM of 82,46,907 is 1710602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,434,608

GCF of Fractions 10/82,434/46,608/907 is 2/1710602

2 10, 434, 608
5, 217, 304

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 10,434,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,434,608 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 10,434,608 . The biggest common factor number is the GCF number.
So the greatest common factor 10,434,608 is 2.

Lets's calculate LCM of 82,46,907

2 82, 46, 907
41, 23, 907

∴ So the LCM of the given numbers is 2 x 41 x 23 x 907 = 1710602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1710602

Therefore, the GCF of Fractions 10/82,434/46,608/907 is 2/1710602

Least Common Multiple of 82,46,907 with GCF Formula

Least Common Multiple of 82,46,907 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 82,46,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,46,907) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,46,907) x common factors =1 x 2 = 2

LCM(82,46,907) = ( 82 × 46 × 907 ) / 2

LCM(82,46,907) = 3421204 / 2

LCM(82,46,907) = 1710602


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 10/82, 434/46, 608/907

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 10/82, 434/46, 608/907?

Answer: GCF of Numerators as per given numbers 10/82, 434/46, 608/907 is

GCF of Numerators i.e. for 10,434,608 is 2

LCM of denominators i.e. for 82,46,907 is 1710602.

Thus, GCF of Fractions is 2/1710602.Finally, GCF of Fractions for 10/82, 434/46, 608/907 is 2/1710602.