Greatest Common Factor of 684/914, 306/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 684/914, 306/662

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 684/914,306/662

Given fractions are 684/914,306/662

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 684,306

Greatest Common Factor of Numerators i.e. GCF of 684,306 is 18 .

LCM of Denominators means LCM of 914,662 as per the given fractions.

LCM of 914,662 is 302534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 684,306

GCF of Fractions 684/914,306/662 is 18/302534

2 684, 306
3 342, 153
3 114, 51
38, 17

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 684,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,306 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 684,306 . The biggest common factor number is the GCF number.
So the greatest common factor 684,306 is 18.

Lets's calculate LCM of 914,662

2 914, 662
457, 331

∴ So the LCM of the given numbers is 2 x 457 x 331 = 302534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/302534

Therefore, the GCF of Fractions 684/914,306/662 is 18/302534

Least Common Multiple of 914,662 with GCF Formula

Least Common Multiple of 914,662 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 914,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,662) = 2

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

GCF(914,662) x common factors =2 x 1 = 2

LCM(914,662) = ( 914 × 662 ) / 2

LCM(914,662) = 605068 / 2

LCM(914,662) = 302534


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 684/914, 306/662

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 684/914, 306/662?

Answer: GCF of Numerators as per given numbers 684/914, 306/662 is

GCF of Numerators i.e. for 684,306 is 18

LCM of denominators i.e. for 914,662 is 302534.

Thus, GCF of Fractions is 18/302534.Finally, GCF of Fractions for 684/914, 306/662 is 18/302534.