How to Find GCF of 95/474, 59/789, 178/565?

GCF of 95/474, 59/789, 178/565

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 95/474, 59/789, 178/565 i.e 1/70434030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/474, 59/789, 178/565.

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 95/474,59/789,178/565?

Given fractions are 95/474,59/789,178/565

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 95/474,59/789,178/565, numerators are 95,59,178

Denominators are 474,789,565

The GCF of 95,59,178 is 1 .

LCM of 474,789,565 is 70434030.

The greatest common factor of 95/474,59/789,178/565 = [GCF of 95,59,178]/[LCM of 474,789,565]= 1/70434030

Therefore, the GCF of 95/474,59/789,178/565 is 1/70434030.

Greatest Common Factor of 95,59,178

To find the highest common factor of 95,59,178, we have to find the factors of both numbers and list the highest common factor.

The factors of 95 are 1, 5, 19, 95

The factors of 59 are 1, 59

The factors of 178 are 1, 2, 89, 178

The HCF of 95,59,178 is 1.

Lets's calculate GCF of 95,59,178

Greatest Common Factor (GCF) of 95,59,178 By Common Division

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

Greatest Common Factor of 95,59,178 By Matching Biggest Common Factor Method

Now, list down the factors of 95

1,5,19,95

Now, list down the factors of 59

1,59

Now, list down the factors of 178

1,2,89,178

Greatest Common Factor

We found the factors 95,59,178 . The biggest common factor number is the GCF number.
So the greatest common factor 95,59,178 is 1.

Lets's calculate LCM of 474,789,565

Lowest Common Multiple of 474,789,565 using Common Division

3	474, 789, 565
	158, 263, 565

∴ So the LCM of the given numbers is 3 x 158 x 263 x 565 = 70434030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70434030

Therefore, the GCF of Fractions 95/474,59/789,178/565 is 1/70434030

Least Common Multiple of 474,789,565 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 474,789,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,789,565) = 1

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

GCF(474,789,565) x common factors =1 x 3 = 3

LCM(474,789,565) = ( 474 × 789 × 565 ) / 3

LCM(474,789,565) = 211302090 / 3

LCM(474,789,565) = 70434030

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FAQs on GCF of Fractions of 95/474, 59/789, 178/565

1. What is the HCF of 95,59,178?

The HCF of 95,59,178 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 95/474, 59/789, 178/565?

Answer: GCF of Numerators as per given numbers 95/474, 59/789, 178/565 is

GCF of Numerators i.e. for 95,59,178 is 1

LCM of denominators i.e. for 474,789,565 is 70434030.

Thus, GCF of Fractions is 1/70434030.Finally, GCF of Fractions for 95/474, 59/789, 178/565 is 1/70434030.