How to Find GCF of 94/188, 51/298, 632/181?

GCF of 94/188, 51/298, 632/181

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 94/188, 51/298, 632/181 i.e 1/5070172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/188, 51/298, 632/181.

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 94/188,51/298,632/181?

Given fractions are 94/188,51/298,632/181

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 94/188,51/298,632/181, numerators are 94,51,632

Denominators are 188,298,181

The GCF of 94,51,632 is 1 .

LCM of 188,298,181 is 5070172.

The greatest common factor of 94/188,51/298,632/181 = [GCF of 94,51,632]/[LCM of 188,298,181]= 1/5070172

Therefore, the GCF of 94/188,51/298,632/181 is 1/5070172.

Greatest Common Factor of 94,51,632

To find the highest common factor of 94,51,632, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 51 are 1, 3, 17, 51

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The HCF of 94,51,632 is 1.

Lets's calculate GCF of 94,51,632

Greatest Common Factor (GCF) of 94,51,632 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 94,51,632 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 51

1,3,17,51

Now, list down the factors of 632

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 94,51,632 . The biggest common factor number is the GCF number.
So the greatest common factor 94,51,632 is 1.

Lets's calculate LCM of 188,298,181

Lowest Common Multiple of 188,298,181 using Common Division

2	188, 298, 181
	94, 149, 181

∴ So the LCM of the given numbers is 2 x 94 x 149 x 181 = 5070172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5070172

Therefore, the GCF of Fractions 94/188,51/298,632/181 is 1/5070172

Least Common Multiple of 188,298,181 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 188,298,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,298,181) = 1

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

GCF(188,298,181) x common factors =1 x 2 = 2

LCM(188,298,181) = ( 188 × 298 × 181 ) / 2

LCM(188,298,181) = 10140344 / 2

LCM(188,298,181) = 5070172

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FAQs on GCF of Fractions of 94/188, 51/298, 632/181

1. What is the HCF of 94,51,632?

The HCF of 94,51,632 is 1

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 94/188, 51/298, 632/181?

Answer: GCF of Numerators as per given numbers 94/188, 51/298, 632/181 is

GCF of Numerators i.e. for 94,51,632 is 1

LCM of denominators i.e. for 188,298,181 is 5070172.

Thus, GCF of Fractions is 1/5070172.Finally, GCF of Fractions for 94/188, 51/298, 632/181 is 1/5070172.