How to Find GCF of 94/86, 40/68, 172/466?

GCF of 94/86, 40/68, 172/466

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 94/86, 40/68, 172/466 i.e 2/681292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/86, 40/68, 172/466.

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 94/86,40/68,172/466?

Given fractions are 94/86,40/68,172/466

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 94/86,40/68,172/466, numerators are 94,40,172

Denominators are 86,68,466

The GCF of 94,40,172 is 2 .

LCM of 86,68,466 is 681292.

The greatest common factor of 94/86,40/68,172/466 = [GCF of 94,40,172]/[LCM of 86,68,466]= 2/681292

Therefore, the GCF of 94/86,40/68,172/466 is 2/681292.

Greatest Common Factor of 94,40,172

To find the highest common factor of 94,40,172, 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 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 172 are 1, 2, 4, 43, 86, 172

The HCF of 94,40,172 is 2.

Lets's calculate GCF of 94,40,172

Greatest Common Factor (GCF) of 94,40,172 By Common Division

2	94, 40, 172
	47, 20, 86

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

Greatest Common Factor of 94,40,172 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 172

1,2,4,43,86,172

Greatest Common Factor

We found the factors 94,40,172 . The biggest common factor number is the GCF number.
So the greatest common factor 94,40,172 is 2.

Lets's calculate LCM of 86,68,466

Lowest Common Multiple of 86,68,466 using Common Division

2	86, 68, 466
	43, 34, 233

∴ So the LCM of the given numbers is 2 x 43 x 34 x 233 = 681292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/681292

Therefore, the GCF of Fractions 94/86,40/68,172/466 is 2/681292

Least Common Multiple of 86,68,466 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 86,68,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,68,466) = 2

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

GCF(86,68,466) x common factors =2 x 2 = 4

LCM(86,68,466) = ( 86 × 68 × 466 ) / 4

LCM(86,68,466) = 2725168 / 4

LCM(86,68,466) = 681292

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 94/86, 40/68, 172/466

1. What is the HCF of 94,40,172?

The HCF of 94,40,172 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 94/86, 40/68, 172/466?

Answer: GCF of Numerators as per given numbers 94/86, 40/68, 172/466 is

GCF of Numerators i.e. for 94,40,172 is 2

LCM of denominators i.e. for 86,68,466 is 681292.

Thus, GCF of Fractions is 2/681292.Finally, GCF of Fractions for 94/86, 40/68, 172/466 is 2/681292.