How to Find GCF of 44/60, 90/26, 26/420?

GCF of 44/60, 90/26, 26/420

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 44/60, 90/26, 26/420 i.e 2/5460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/60, 90/26, 26/420.

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 44/60,90/26,26/420?

Given fractions are 44/60,90/26,26/420

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 44/60,90/26,26/420, numerators are 44,90,26

Denominators are 60,26,420

The GCF of 44,90,26 is 2 .

LCM of 60,26,420 is 5460.

The greatest common factor of 44/60,90/26,26/420 = [GCF of 44,90,26]/[LCM of 60,26,420]= 2/5460

Therefore, the GCF of 44/60,90/26,26/420 is 2/5460.

Greatest Common Factor of 44,90,26

To find the highest common factor of 44,90,26, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 26 are 1, 2, 13, 26

The HCF of 44,90,26 is 2.

Lets's calculate GCF of 44,90,26

Greatest Common Factor (GCF) of 44,90,26 By Common Division

2	44, 90, 26
	22, 45, 13

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 44,90,26 By Matching Biggest Common Factor Method

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 90

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 26

1,2,13,26

Greatest Common Factor

We found the factors 44,90,26 . The biggest common factor number is the GCF number.
So the greatest common factor 44,90,26 is 2.

Lets's calculate LCM of 60,26,420

Lowest Common Multiple of 60,26,420 using Common Division

2	60, 26, 420
2	30, 13, 210
3	15, 13, 105
5	5, 13, 35
	1, 13, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 13 x 7 = 5460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5460

Therefore, the GCF of Fractions 44/60,90/26,26/420 is 2/5460

Least Common Multiple of 60,26,420 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 60,26,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,26,420) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(60,26,420) x common factors =2 x 60 = 120

LCM(60,26,420) = ( 60 × 26 × 420 ) / 120

LCM(60,26,420) = 655200 / 120

LCM(60,26,420) = 5460

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FAQs on GCF of Fractions of 44/60, 90/26, 26/420

1. What is the HCF of 44,90,26?

The HCF of 44,90,26 is 2

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 44/60, 90/26, 26/420?

Answer: GCF of Numerators as per given numbers 44/60, 90/26, 26/420 is

GCF of Numerators i.e. for 44,90,26 is 2

LCM of denominators i.e. for 60,26,420 is 5460.

Thus, GCF of Fractions is 2/5460.Finally, GCF of Fractions for 44/60, 90/26, 26/420 is 2/5460.