How to Find GCF of 6976/80, 4643/894?

GCF of 6976/80, 4643/894

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 6976/80, 4643/894 i.e 1/35760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6976/80, 4643/894.

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 6976/80,4643/894?

Given fractions are 6976/80,4643/894

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 6976/80,4643/894, numerators are 6976,4643

Denominators are 80,894

The GCF of 6976,4643 is 1 .

LCM of 80,894 is 35760.

The greatest common factor of 6976/80,4643/894 = [GCF of 6976,4643]/[LCM of 80,894]= 1/35760

Therefore, the GCF of 6976/80,4643/894 is 1/35760.

Greatest Common Factor of 6976,4643

To find the highest common factor of 6976,4643, we have to find the factors of both numbers and list the highest common factor.

The factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976

The factors of 4643 are 1, 4643

The HCF of 6976,4643 is 1.

Lets's calculate GCF of 6976,4643

Greatest Common Factor (GCF) of 6976,4643 By Common Division

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

Greatest Common Factor of 6976,4643 By Matching Biggest Common Factor Method

Now, list down the factors of 6976

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Now, list down the factors of 4643

1,4643

Greatest Common Factor

We found the factors 6976,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 6976,4643 is 1.

Lets's calculate LCM of 80,894

Lowest Common Multiple of 80,894 using Common Division

2	80, 894
	40, 447

∴ So the LCM of the given numbers is 2 x 40 x 447 = 35760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35760

Therefore, the GCF of Fractions 6976/80,4643/894 is 1/35760

Least Common Multiple of 80,894 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 80,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,894) = 2

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

GCF(80,894) x common factors =2 x 1 = 2

LCM(80,894) = ( 80 × 894 ) / 2

LCM(80,894) = 71520 / 2

LCM(80,894) = 35760

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6976/80, 4643/894

1. What is the HCF of 6976,4643?

The HCF of 6976,4643 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 6976/80, 4643/894?

Answer: GCF of Numerators as per given numbers 6976/80, 4643/894 is

GCF of Numerators i.e. for 6976,4643 is 1

LCM of denominators i.e. for 80,894 is 35760.

Thus, GCF of Fractions is 1/35760.Finally, GCF of Fractions for 6976/80, 4643/894 is 1/35760.