How to Find GCF of 66/62, 44/25, 118/492?

GCF of 66/62, 44/25, 118/492

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 66/62, 44/25, 118/492 i.e 2/381300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/62, 44/25, 118/492.

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 66/62,44/25,118/492?

Given fractions are 66/62,44/25,118/492

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 66/62,44/25,118/492, numerators are 66,44,118

Denominators are 62,25,492

The GCF of 66,44,118 is 2 .

LCM of 62,25,492 is 381300.

The greatest common factor of 66/62,44/25,118/492 = [GCF of 66,44,118]/[LCM of 62,25,492]= 2/381300

Therefore, the GCF of 66/62,44/25,118/492 is 2/381300.

Greatest Common Factor of 66,44,118

To find the highest common factor of 66,44,118, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

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

The factors of 118 are 1, 2, 59, 118

The HCF of 66,44,118 is 2.

Lets's calculate GCF of 66,44,118

Greatest Common Factor (GCF) of 66,44,118 By Common Division

2	66, 44, 118
	33, 22, 59

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

Greatest Common Factor of 66,44,118 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 118

1,2,59,118

Greatest Common Factor

We found the factors 66,44,118 . The biggest common factor number is the GCF number.
So the greatest common factor 66,44,118 is 2.

Lets's calculate LCM of 62,25,492

Lowest Common Multiple of 62,25,492 using Common Division

2	62, 25, 492
	31, 25, 246

∴ So the LCM of the given numbers is 2 x 31 x 25 x 246 = 381300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/381300

Therefore, the GCF of Fractions 66/62,44/25,118/492 is 2/381300

Least Common Multiple of 62,25,492 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 62,25,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,25,492) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,25,492) x common factors =1 x 2 = 2

LCM(62,25,492) = ( 62 × 25 × 492 ) / 2

LCM(62,25,492) = 762600 / 2

LCM(62,25,492) = 381300

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/62, 44/25, 118/492

1. What is the HCF of 66,44,118?

The HCF of 66,44,118 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 66/62, 44/25, 118/492?

Answer: GCF of Numerators as per given numbers 66/62, 44/25, 118/492 is

GCF of Numerators i.e. for 66,44,118 is 2

LCM of denominators i.e. for 62,25,492 is 381300.

Thus, GCF of Fractions is 2/381300.Finally, GCF of Fractions for 66/62, 44/25, 118/492 is 2/381300.