How to Find GCF of 5721/626, 2220/9578?

GCF of 5721/626, 2220/9578

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 5721/626, 2220/9578 i.e 3/2997914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5721/626, 2220/9578.

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 5721/626,2220/9578?

Given fractions are 5721/626,2220/9578

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 5721/626,2220/9578, numerators are 5721,2220

Denominators are 626,9578

The GCF of 5721,2220 is 3 .

LCM of 626,9578 is 2997914.

The greatest common factor of 5721/626,2220/9578 = [GCF of 5721,2220]/[LCM of 626,9578]= 3/2997914

Therefore, the GCF of 5721/626,2220/9578 is 3/2997914.

Greatest Common Factor of 5721,2220

To find the highest common factor of 5721,2220, we have to find the factors of both numbers and list the highest common factor.

The factors of 5721 are 1, 3, 1907, 5721

The factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220

The HCF of 5721,2220 is 3.

Lets's calculate GCF of 5721,2220

Greatest Common Factor (GCF) of 5721,2220 By Common Division

3	5721, 2220
	1907, 740

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5721,2220 By Matching Biggest Common Factor Method

Now, list down the factors of 5721

1,3,1907,5721

Now, list down the factors of 2220

1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220

Greatest Common Factor

We found the factors 5721,2220 . The biggest common factor number is the GCF number.
So the greatest common factor 5721,2220 is 3.

Lets's calculate LCM of 626,9578

Lowest Common Multiple of 626,9578 using Common Division

2	626, 9578
	313, 4789

∴ So the LCM of the given numbers is 2 x 313 x 4789 = 2997914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2997914

Therefore, the GCF of Fractions 5721/626,2220/9578 is 3/2997914

Least Common Multiple of 626,9578 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 626,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,9578) = 2

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

GCF(626,9578) x common factors =2 x 1 = 2

LCM(626,9578) = ( 626 × 9578 ) / 2

LCM(626,9578) = 5995828 / 2

LCM(626,9578) = 2997914

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5721/626, 2220/9578

1. What is the HCF of 5721,2220?

The HCF of 5721,2220 is 3

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 5721/626, 2220/9578?

Answer: GCF of Numerators as per given numbers 5721/626, 2220/9578 is

GCF of Numerators i.e. for 5721,2220 is 3

LCM of denominators i.e. for 626,9578 is 2997914.

Thus, GCF of Fractions is 3/2997914.Finally, GCF of Fractions for 5721/626, 2220/9578 is 3/2997914.