How to Find GCF of 2210/620, 9542/4390?

GCF of 2210/620, 9542/4390

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 2210/620, 9542/4390 i.e 26/272180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2210/620, 9542/4390.

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 2210/620,9542/4390?

Given fractions are 2210/620,9542/4390

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 2210/620,9542/4390, numerators are 2210,9542

Denominators are 620,4390

The GCF of 2210,9542 is 26 .

LCM of 620,4390 is 272180.

The greatest common factor of 2210/620,9542/4390 = [GCF of 2210,9542]/[LCM of 620,4390]= 26/272180

Therefore, the GCF of 2210/620,9542/4390 is 26/272180.

Greatest Common Factor of 2210,9542

To find the highest common factor of 2210,9542, we have to find the factors of both numbers and list the highest common factor.

The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210

The factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542

The HCF of 2210,9542 is 26.

Lets's calculate GCF of 2210,9542

Greatest Common Factor (GCF) of 2210,9542 By Common Division

2	2210, 9542
13	1105, 4771
	85, 367

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 2210,9542 By Matching Biggest Common Factor Method

Now, list down the factors of 2210

1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210

Now, list down the factors of 9542

1,2,13,26,367,734,4771,9542

Greatest Common Factor

We found the factors 2210,9542 . The biggest common factor number is the GCF number.
So the greatest common factor 2210,9542 is 26.

Lets's calculate LCM of 620,4390

Lowest Common Multiple of 620,4390 using Common Division

2	620, 4390
5	310, 2195
	62, 439

∴ So the LCM of the given numbers is 2 x 5 x 62 x 439 = 272180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/272180

Therefore, the GCF of Fractions 2210/620,9542/4390 is 26/272180

Least Common Multiple of 620,4390 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 620,4390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,4390) = 10

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

GCF(620,4390) x common factors =10 x 1 = 10

LCM(620,4390) = ( 620 × 4390 ) / 10

LCM(620,4390) = 2721800 / 10

LCM(620,4390) = 272180

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2210/620, 9542/4390

1. What is the HCF of 2210,9542?

The HCF of 2210,9542 is 26

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 2210/620, 9542/4390?

Answer: GCF of Numerators as per given numbers 2210/620, 9542/4390 is

GCF of Numerators i.e. for 2210,9542 is 26

LCM of denominators i.e. for 620,4390 is 272180.

Thus, GCF of Fractions is 26/272180.Finally, GCF of Fractions for 2210/620, 9542/4390 is 26/272180.