How to Find GCF of 195/470, 2119/4626?

GCF of 195/470, 2119/4626

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 195/470, 2119/4626 i.e 13/1087110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 195/470, 2119/4626.

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 195/470,2119/4626?

Given fractions are 195/470,2119/4626

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 195/470,2119/4626, numerators are 195,2119

Denominators are 470,4626

The GCF of 195,2119 is 13 .

LCM of 470,4626 is 1087110.

The greatest common factor of 195/470,2119/4626 = [GCF of 195,2119]/[LCM of 470,4626]= 13/1087110

Therefore, the GCF of 195/470,2119/4626 is 13/1087110.

Greatest Common Factor of 195,2119

To find the highest common factor of 195,2119, we have to find the factors of both numbers and list the highest common factor.

The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195

The factors of 2119 are 1, 13, 163, 2119

The HCF of 195,2119 is 13.

Lets's calculate GCF of 195,2119

Greatest Common Factor (GCF) of 195,2119 By Common Division

13	195, 2119
	15, 163

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 195,2119 By Matching Biggest Common Factor Method

Now, list down the factors of 195

1,3,5,13,15,39,65,195

Now, list down the factors of 2119

1,13,163,2119

Greatest Common Factor

We found the factors 195,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 195,2119 is 13.

Lets's calculate LCM of 470,4626

Lowest Common Multiple of 470,4626 using Common Division

2	470, 4626
	235, 2313

∴ So the LCM of the given numbers is 2 x 235 x 2313 = 1087110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1087110

Therefore, the GCF of Fractions 195/470,2119/4626 is 13/1087110

Least Common Multiple of 470,4626 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 470,4626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,4626) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(470,4626) x common factors =2 x 1 = 2

LCM(470,4626) = ( 470 × 4626 ) / 2

LCM(470,4626) = 2174220 / 2

LCM(470,4626) = 1087110

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FAQs on GCF of Fractions of 195/470, 2119/4626

1. What is the HCF of 195,2119?

The HCF of 195,2119 is 13

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 195/470, 2119/4626?

Answer: GCF of Numerators as per given numbers 195/470, 2119/4626 is

GCF of Numerators i.e. for 195,2119 is 13

LCM of denominators i.e. for 470,4626 is 1087110.

Thus, GCF of Fractions is 13/1087110.Finally, GCF of Fractions for 195/470, 2119/4626 is 13/1087110.