How to Find GCF of 95/195, 483/296, 590/949?

GCF of 95/195, 483/296, 590/949

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 95/195, 483/296, 590/949 i.e 1/4213560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/195, 483/296, 590/949.

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 95/195,483/296,590/949?

Given fractions are 95/195,483/296,590/949

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 95/195,483/296,590/949, numerators are 95,483,590

Denominators are 195,296,949

The GCF of 95,483,590 is 1 .

LCM of 195,296,949 is 4213560.

The greatest common factor of 95/195,483/296,590/949 = [GCF of 95,483,590]/[LCM of 195,296,949]= 1/4213560

Therefore, the GCF of 95/195,483/296,590/949 is 1/4213560.

Greatest Common Factor of 95,483,590

To find the highest common factor of 95,483,590, 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 483 are 1, 3, 7, 21, 23, 69, 161, 483

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The HCF of 95,483,590 is 1.

Lets's calculate GCF of 95,483,590

Greatest Common Factor (GCF) of 95,483,590 By Common Division

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

Greatest Common Factor of 95,483,590 By Matching Biggest Common Factor Method

Now, list down the factors of 95

1,5,19,95

Now, list down the factors of 483

1,3,7,21,23,69,161,483

Now, list down the factors of 590

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 95,483,590 . The biggest common factor number is the GCF number.
So the greatest common factor 95,483,590 is 1.

Lets's calculate LCM of 195,296,949

Lowest Common Multiple of 195,296,949 using Common Division

13	195, 296, 949
	15, 296, 73

∴ So the LCM of the given numbers is 13 x 15 x 296 x 73 = 4213560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4213560

Therefore, the GCF of Fractions 95/195,483/296,590/949 is 1/4213560

Least Common Multiple of 195,296,949 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 195,296,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,296,949) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(195,296,949) x common factors =1 x 13 = 13

LCM(195,296,949) = ( 195 × 296 × 949 ) / 13

LCM(195,296,949) = 54776280 / 13

LCM(195,296,949) = 4213560

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 95/195, 483/296, 590/949

1. What is the HCF of 95,483,590?

The HCF of 95,483,590 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 95/195, 483/296, 590/949?

Answer: GCF of Numerators as per given numbers 95/195, 483/296, 590/949 is

GCF of Numerators i.e. for 95,483,590 is 1

LCM of denominators i.e. for 195,296,949 is 4213560.

Thus, GCF of Fractions is 1/4213560.Finally, GCF of Fractions for 95/195, 483/296, 590/949 is 1/4213560.