How to Find GCF of 2220/272, 9013/8422?

GCF of 2220/272, 9013/8422

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 2220/272, 9013/8422 i.e 1/1145392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2220/272, 9013/8422.

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 2220/272,9013/8422?

Given fractions are 2220/272,9013/8422

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 2220/272,9013/8422, numerators are 2220,9013

Denominators are 272,8422

The GCF of 2220,9013 is 1 .

LCM of 272,8422 is 1145392.

The greatest common factor of 2220/272,9013/8422 = [GCF of 2220,9013]/[LCM of 272,8422]= 1/1145392

Therefore, the GCF of 2220/272,9013/8422 is 1/1145392.

Greatest Common Factor of 2220,9013

To find the highest common factor of 2220,9013, we have to find the factors of both numbers and list the highest common factor.

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 factors of 9013 are 1, 9013

The HCF of 2220,9013 is 1.

Lets's calculate GCF of 2220,9013

Greatest Common Factor (GCF) of 2220,9013 By Common Division

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

Greatest Common Factor of 2220,9013 By Matching Biggest Common Factor Method

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

Now, list down the factors of 9013

1,9013

Greatest Common Factor

We found the factors 2220,9013 . The biggest common factor number is the GCF number.
So the greatest common factor 2220,9013 is 1.

Lets's calculate LCM of 272,8422

Lowest Common Multiple of 272,8422 using Common Division

2	272, 8422
	136, 4211

∴ So the LCM of the given numbers is 2 x 136 x 4211 = 1145392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1145392

Therefore, the GCF of Fractions 2220/272,9013/8422 is 1/1145392

Least Common Multiple of 272,8422 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 272,8422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,8422) = 2

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

GCF(272,8422) x common factors =2 x 1 = 2

LCM(272,8422) = ( 272 × 8422 ) / 2

LCM(272,8422) = 2290784 / 2

LCM(272,8422) = 1145392

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2220/272, 9013/8422

1. What is the HCF of 2220,9013?

The HCF of 2220,9013 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 2220/272, 9013/8422?

Answer: GCF of Numerators as per given numbers 2220/272, 9013/8422 is

GCF of Numerators i.e. for 2220,9013 is 1

LCM of denominators i.e. for 272,8422 is 1145392.

Thus, GCF of Fractions is 1/1145392.Finally, GCF of Fractions for 2220/272, 9013/8422 is 1/1145392.