How to Find GCF of 2822/564, 7129/3764?

GCF of 2822/564, 7129/3764

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 2822/564, 7129/3764 i.e 1/530724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2822/564, 7129/3764.

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 2822/564,7129/3764?

Given fractions are 2822/564,7129/3764

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 2822/564,7129/3764, numerators are 2822,7129

Denominators are 564,3764

The GCF of 2822,7129 is 1 .

LCM of 564,3764 is 530724.

The greatest common factor of 2822/564,7129/3764 = [GCF of 2822,7129]/[LCM of 564,3764]= 1/530724

Therefore, the GCF of 2822/564,7129/3764 is 1/530724.

Greatest Common Factor of 2822,7129

To find the highest common factor of 2822,7129, we have to find the factors of both numbers and list the highest common factor.

The factors of 2822 are 1, 2, 17, 34, 83, 166, 1411, 2822

The factors of 7129 are 1, 7129

The HCF of 2822,7129 is 1.

Lets's calculate GCF of 2822,7129

Greatest Common Factor (GCF) of 2822,7129 By Common Division

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

Greatest Common Factor of 2822,7129 By Matching Biggest Common Factor Method

Now, list down the factors of 2822

1,2,17,34,83,166,1411,2822

Now, list down the factors of 7129

1,7129

Greatest Common Factor

We found the factors 2822,7129 . The biggest common factor number is the GCF number.
So the greatest common factor 2822,7129 is 1.

Lets's calculate LCM of 564,3764

Lowest Common Multiple of 564,3764 using Common Division

2	564, 3764
2	282, 1882
	141, 941

∴ So the LCM of the given numbers is 2 x 2 x 141 x 941 = 530724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530724

Therefore, the GCF of Fractions 2822/564,7129/3764 is 1/530724

Least Common Multiple of 564,3764 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 564,3764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,3764) = 4

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

GCF(564,3764) x common factors =4 x 1 = 4

LCM(564,3764) = ( 564 × 3764 ) / 4

LCM(564,3764) = 2122896 / 4

LCM(564,3764) = 530724

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2822/564, 7129/3764

1. What is the HCF of 2822,7129?

The HCF of 2822,7129 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 2822/564, 7129/3764?

Answer: GCF of Numerators as per given numbers 2822/564, 7129/3764 is

GCF of Numerators i.e. for 2822,7129 is 1

LCM of denominators i.e. for 564,3764 is 530724.

Thus, GCF of Fractions is 1/530724.Finally, GCF of Fractions for 2822/564, 7129/3764 is 1/530724.