How to Find GCF of 47/39, 184/94, 958/196?

GCF of 47/39, 184/94, 958/196

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 47/39, 184/94, 958/196 i.e 1/359268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/39, 184/94, 958/196.

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 47/39,184/94,958/196?

Given fractions are 47/39,184/94,958/196

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 47/39,184/94,958/196, numerators are 47,184,958

Denominators are 39,94,196

The GCF of 47,184,958 is 1 .

LCM of 39,94,196 is 359268.

The greatest common factor of 47/39,184/94,958/196 = [GCF of 47,184,958]/[LCM of 39,94,196]= 1/359268

Therefore, the GCF of 47/39,184/94,958/196 is 1/359268.

Greatest Common Factor of 47,184,958

To find the highest common factor of 47,184,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 47 are 1, 47

The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184

The factors of 958 are 1, 2, 479, 958

The HCF of 47,184,958 is 1.

Lets's calculate GCF of 47,184,958

Greatest Common Factor (GCF) of 47,184,958 By Common Division

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

Greatest Common Factor of 47,184,958 By Matching Biggest Common Factor Method

Now, list down the factors of 47

1,47

Now, list down the factors of 184

1,2,4,8,23,46,92,184

Now, list down the factors of 958

1,2,479,958

Greatest Common Factor

We found the factors 47,184,958 . The biggest common factor number is the GCF number.
So the greatest common factor 47,184,958 is 1.

Lets's calculate LCM of 39,94,196

Lowest Common Multiple of 39,94,196 using Common Division

2	39, 94, 196
	39, 47, 98

∴ So the LCM of the given numbers is 2 x 39 x 47 x 98 = 359268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359268

Therefore, the GCF of Fractions 47/39,184/94,958/196 is 1/359268

Least Common Multiple of 39,94,196 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 39,94,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,94,196) = 1

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

GCF(39,94,196) x common factors =1 x 2 = 2

LCM(39,94,196) = ( 39 × 94 × 196 ) / 2

LCM(39,94,196) = 718536 / 2

LCM(39,94,196) = 359268

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FAQs on GCF of Fractions of 47/39, 184/94, 958/196

1. What is the HCF of 47,184,958?

The HCF of 47,184,958 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 47/39, 184/94, 958/196?

Answer: GCF of Numerators as per given numbers 47/39, 184/94, 958/196 is

GCF of Numerators i.e. for 47,184,958 is 1

LCM of denominators i.e. for 39,94,196 is 359268.

Thus, GCF of Fractions is 1/359268.Finally, GCF of Fractions for 47/39, 184/94, 958/196 is 1/359268.