How to Find GCF of 64/95, 10/42, 188/333?

GCF of 64/95, 10/42, 188/333

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 64/95, 10/42, 188/333 i.e 2/442890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/95, 10/42, 188/333.

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 64/95,10/42,188/333?

Given fractions are 64/95,10/42,188/333

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 64/95,10/42,188/333, numerators are 64,10,188

Denominators are 95,42,333

The GCF of 64,10,188 is 2 .

LCM of 95,42,333 is 442890.

The greatest common factor of 64/95,10/42,188/333 = [GCF of 64,10,188]/[LCM of 95,42,333]= 2/442890

Therefore, the GCF of 64/95,10/42,188/333 is 2/442890.

Greatest Common Factor of 64,10,188

To find the highest common factor of 64,10,188, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 10 are 1, 2, 5, 10

The factors of 188 are 1, 2, 4, 47, 94, 188

The HCF of 64,10,188 is 2.

Lets's calculate GCF of 64,10,188

Greatest Common Factor (GCF) of 64,10,188 By Common Division

2	64, 10, 188
	32, 5, 94

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

Greatest Common Factor of 64,10,188 By Matching Biggest Common Factor Method

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 10

1,2,5,10

Now, list down the factors of 188

1,2,4,47,94,188

Greatest Common Factor

We found the factors 64,10,188 . The biggest common factor number is the GCF number.
So the greatest common factor 64,10,188 is 2.

Lets's calculate LCM of 95,42,333

Lowest Common Multiple of 95,42,333 using Common Division

3	95, 42, 333
	95, 14, 111

∴ So the LCM of the given numbers is 3 x 95 x 14 x 111 = 442890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/442890

Therefore, the GCF of Fractions 64/95,10/42,188/333 is 2/442890

Least Common Multiple of 95,42,333 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 95,42,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,42,333) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(95,42,333) x common factors =1 x 3 = 3

LCM(95,42,333) = ( 95 × 42 × 333 ) / 3

LCM(95,42,333) = 1328670 / 3

LCM(95,42,333) = 442890

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FAQs on GCF of Fractions of 64/95, 10/42, 188/333

1. What is the HCF of 64,10,188?

The HCF of 64,10,188 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 64/95, 10/42, 188/333?

Answer: GCF of Numerators as per given numbers 64/95, 10/42, 188/333 is

GCF of Numerators i.e. for 64,10,188 is 2

LCM of denominators i.e. for 95,42,333 is 442890.

Thus, GCF of Fractions is 2/442890.Finally, GCF of Fractions for 64/95, 10/42, 188/333 is 2/442890.