How to Find GCF of 7767/566, 4966/584?

GCF of 7767/566, 4966/584

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 7767/566, 4966/584 i.e 1/165272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7767/566, 4966/584.

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 7767/566,4966/584?

Given fractions are 7767/566,4966/584

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 7767/566,4966/584, numerators are 7767,4966

Denominators are 566,584

The GCF of 7767,4966 is 1 .

LCM of 566,584 is 165272.

The greatest common factor of 7767/566,4966/584 = [GCF of 7767,4966]/[LCM of 566,584]= 1/165272

Therefore, the GCF of 7767/566,4966/584 is 1/165272.

Greatest Common Factor of 7767,4966

To find the highest common factor of 7767,4966, we have to find the factors of both numbers and list the highest common factor.

The factors of 7767 are 1, 3, 9, 863, 2589, 7767

The factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966

The HCF of 7767,4966 is 1.

Lets's calculate GCF of 7767,4966

Greatest Common Factor (GCF) of 7767,4966 By Common Division

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

Greatest Common Factor of 7767,4966 By Matching Biggest Common Factor Method

Now, list down the factors of 7767

1,3,9,863,2589,7767

Now, list down the factors of 4966

1,2,13,26,191,382,2483,4966

Greatest Common Factor

We found the factors 7767,4966 . The biggest common factor number is the GCF number.
So the greatest common factor 7767,4966 is 1.

Lets's calculate LCM of 566,584

Lowest Common Multiple of 566,584 using Common Division

2	566, 584
	283, 292

∴ So the LCM of the given numbers is 2 x 283 x 292 = 165272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165272

Therefore, the GCF of Fractions 7767/566,4966/584 is 1/165272

Least Common Multiple of 566,584 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 566,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,584) = 2

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

GCF(566,584) x common factors =2 x 1 = 2

LCM(566,584) = ( 566 × 584 ) / 2

LCM(566,584) = 330544 / 2

LCM(566,584) = 165272

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7767/566, 4966/584

1. What is the HCF of 7767,4966?

The HCF of 7767,4966 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 7767/566, 4966/584?

Answer: GCF of Numerators as per given numbers 7767/566, 4966/584 is

GCF of Numerators i.e. for 7767,4966 is 1

LCM of denominators i.e. for 566,584 is 165272.

Thus, GCF of Fractions is 1/165272.Finally, GCF of Fractions for 7767/566, 4966/584 is 1/165272.