How to Find GCF of 66/632, 26/359, 944/485?

GCF of 66/632, 26/359, 944/485

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 66/632, 26/359, 944/485 i.e 2/110040680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/632, 26/359, 944/485.

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 66/632,26/359,944/485?

Given fractions are 66/632,26/359,944/485

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 66/632,26/359,944/485, numerators are 66,26,944

Denominators are 632,359,485

The GCF of 66,26,944 is 2 .

LCM of 632,359,485 is 110040680.

The greatest common factor of 66/632,26/359,944/485 = [GCF of 66,26,944]/[LCM of 632,359,485]= 2/110040680

Therefore, the GCF of 66/632,26/359,944/485 is 2/110040680.

Greatest Common Factor of 66,26,944

To find the highest common factor of 66,26,944, 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 26 are 1, 2, 13, 26

The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

The HCF of 66,26,944 is 2.

Lets's calculate GCF of 66,26,944

Greatest Common Factor (GCF) of 66,26,944 By Common Division

2	66, 26, 944
	33, 13, 472

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

Greatest Common Factor of 66,26,944 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 26

1,2,13,26

Now, list down the factors of 944

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 66,26,944 . The biggest common factor number is the GCF number.
So the greatest common factor 66,26,944 is 2.

Lets's calculate LCM of 632,359,485

Lowest Common Multiple of 632,359,485 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 110040680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110040680

Therefore, the GCF of Fractions 66/632,26/359,944/485 is 2/110040680

Least Common Multiple of 632,359,485 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 632,359,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,359,485) = 1

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

GCF(632,359,485) x common factors =1 x 1 = 1

LCM(632,359,485) = ( 632 × 359 × 485 ) / 1

LCM(632,359,485) = 110040680 / 1

LCM(632,359,485) = 110040680

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/632, 26/359, 944/485

1. What is the HCF of 66,26,944?

The HCF of 66,26,944 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 66/632, 26/359, 944/485?

Answer: GCF of Numerators as per given numbers 66/632, 26/359, 944/485 is

GCF of Numerators i.e. for 66,26,944 is 2

LCM of denominators i.e. for 632,359,485 is 110040680.

Thus, GCF of Fractions is 2/110040680.Finally, GCF of Fractions for 66/632, 26/359, 944/485 is 2/110040680.