How to Find GCF of 3087/792, 6443/680?

GCF of 3087/792, 6443/680

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 3087/792, 6443/680 i.e 1/67320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3087/792, 6443/680.

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 3087/792,6443/680?

Given fractions are 3087/792,6443/680

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 3087/792,6443/680, numerators are 3087,6443

Denominators are 792,680

The GCF of 3087,6443 is 1 .

LCM of 792,680 is 67320.

The greatest common factor of 3087/792,6443/680 = [GCF of 3087,6443]/[LCM of 792,680]= 1/67320

Therefore, the GCF of 3087/792,6443/680 is 1/67320.

Greatest Common Factor of 3087,6443

To find the highest common factor of 3087,6443, we have to find the factors of both numbers and list the highest common factor.

The factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087

The factors of 6443 are 1, 17, 379, 6443

The HCF of 3087,6443 is 1.

Lets's calculate GCF of 3087,6443

Greatest Common Factor (GCF) of 3087,6443 By Common Division

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

Greatest Common Factor of 3087,6443 By Matching Biggest Common Factor Method

Now, list down the factors of 3087

1,3,7,9,21,49,63,147,343,441,1029,3087

Now, list down the factors of 6443

1,17,379,6443

Greatest Common Factor

We found the factors 3087,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 3087,6443 is 1.

Lets's calculate LCM of 792,680

Lowest Common Multiple of 792,680 using Common Division

2	792, 680
2	396, 340
2	198, 170
	99, 85

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 85 = 67320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67320

Therefore, the GCF of Fractions 3087/792,6443/680 is 1/67320

Least Common Multiple of 792,680 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 792,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,680) = 8

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

GCF(792,680) x common factors =8 x 1 = 8

LCM(792,680) = ( 792 × 680 ) / 8

LCM(792,680) = 538560 / 8

LCM(792,680) = 67320

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FAQs on GCF of Fractions of 3087/792, 6443/680

1. What is the HCF of 3087,6443?

The HCF of 3087,6443 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 3087/792, 6443/680?

Answer: GCF of Numerators as per given numbers 3087/792, 6443/680 is

GCF of Numerators i.e. for 3087,6443 is 1

LCM of denominators i.e. for 792,680 is 67320.

Thus, GCF of Fractions is 1/67320.Finally, GCF of Fractions for 3087/792, 6443/680 is 1/67320.