How to Find GCF of 684/12, 959/6926?

GCF of 684/12, 959/6926

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 684/12, 959/6926 i.e 1/41556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 684/12, 959/6926.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 684/12,959/6926?

Given fractions are 684/12,959/6926

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 684/12,959/6926, numerators are 684,959

Denominators are 12,6926

The GCF of 684,959 is 1 .

LCM of 12,6926 is 41556.

The greatest common factor of 684/12,959/6926 = [GCF of 684,959]/[LCM of 12,6926]= 1/41556

Therefore, the GCF of 684/12,959/6926 is 1/41556.

Greatest Common Factor of 684,959

To find the highest common factor of 684,959, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 959 are 1, 7, 137, 959

The HCF of 684,959 is 1.

Lets's calculate GCF of 684,959

Greatest Common Factor (GCF) of 684,959 By Common Division

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

Greatest Common Factor of 684,959 By Matching Biggest Common Factor Method

Now, list down the factors of 684

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

Now, list down the factors of 959

1,7,137,959

Greatest Common Factor

We found the factors 684,959 . The biggest common factor number is the GCF number.
So the greatest common factor 684,959 is 1.

Lets's calculate LCM of 12,6926

Lowest Common Multiple of 12,6926 using Common Division

2	12, 6926
	6, 3463

∴ So the LCM of the given numbers is 2 x 6 x 3463 = 41556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41556

Therefore, the GCF of Fractions 684/12,959/6926 is 1/41556

Least Common Multiple of 12,6926 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,6926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,6926) = 2

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

GCF(12,6926) x common factors =2 x 1 = 2

LCM(12,6926) = ( 12 × 6926 ) / 2

LCM(12,6926) = 83112 / 2

LCM(12,6926) = 41556

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FAQs on GCF of Fractions of 684/12, 959/6926

1. What is the HCF of 684,959?

The HCF of 684,959 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 684/12, 959/6926?

Answer: GCF of Numerators as per given numbers 684/12, 959/6926 is

GCF of Numerators i.e. for 684,959 is 1

LCM of denominators i.e. for 12,6926 is 41556.

Thus, GCF of Fractions is 1/41556.Finally, GCF of Fractions for 684/12, 959/6926 is 1/41556.