How to Find GCF of 1080/671, 6947/2684?

GCF of 1080/671, 6947/2684

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 1080/671, 6947/2684 i.e 1/2684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1080/671, 6947/2684.

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 1080/671,6947/2684?

Given fractions are 1080/671,6947/2684

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 1080/671,6947/2684, numerators are 1080,6947

Denominators are 671,2684

The GCF of 1080,6947 is 1 .

LCM of 671,2684 is 2684.

The greatest common factor of 1080/671,6947/2684 = [GCF of 1080,6947]/[LCM of 671,2684]= 1/2684

Therefore, the GCF of 1080/671,6947/2684 is 1/2684.

Greatest Common Factor of 1080,6947

To find the highest common factor of 1080,6947, we have to find the factors of both numbers and list the highest common factor.

The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080

The factors of 6947 are 1, 6947

The HCF of 1080,6947 is 1.

Lets's calculate GCF of 1080,6947

Greatest Common Factor (GCF) of 1080,6947 By Common Division

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

Greatest Common Factor of 1080,6947 By Matching Biggest Common Factor Method

Now, list down the factors of 1080

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080

Now, list down the factors of 6947

1,6947

Greatest Common Factor

We found the factors 1080,6947 . The biggest common factor number is the GCF number.
So the greatest common factor 1080,6947 is 1.

Lets's calculate LCM of 671,2684

Lowest Common Multiple of 671,2684 using Common Division

11	671, 2684
61	61, 244
	1, 4

∴ So the LCM of the given numbers is 11 x 61 x 1 x 4 = 2684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2684

Therefore, the GCF of Fractions 1080/671,6947/2684 is 1/2684

Least Common Multiple of 671,2684 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 671,2684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,2684) = 671

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

GCF(671,2684) x common factors =671 x 1 = 671

LCM(671,2684) = ( 671 × 2684 ) / 671

LCM(671,2684) = 1800964 / 671

LCM(671,2684) = 2684

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FAQs on GCF of Fractions of 1080/671, 6947/2684

1. What is the HCF of 1080,6947?

The HCF of 1080,6947 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 1080/671, 6947/2684?

Answer: GCF of Numerators as per given numbers 1080/671, 6947/2684 is

GCF of Numerators i.e. for 1080,6947 is 1

LCM of denominators i.e. for 671,2684 is 2684.

Thus, GCF of Fractions is 1/2684.Finally, GCF of Fractions for 1080/671, 6947/2684 is 1/2684.