How to Find GCF of 14/295, 82/219, 196/956?

GCF of 14/295, 82/219, 196/956

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 14/295, 82/219, 196/956 i.e 2/61762380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/295, 82/219, 196/956.

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 14/295,82/219,196/956?

Given fractions are 14/295,82/219,196/956

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 14/295,82/219,196/956, numerators are 14,82,196

Denominators are 295,219,956

The GCF of 14,82,196 is 2 .

LCM of 295,219,956 is 61762380.

The greatest common factor of 14/295,82/219,196/956 = [GCF of 14,82,196]/[LCM of 295,219,956]= 2/61762380

Therefore, the GCF of 14/295,82/219,196/956 is 2/61762380.

Greatest Common Factor of 14,82,196

To find the highest common factor of 14,82,196, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 82 are 1, 2, 41, 82

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196

The HCF of 14,82,196 is 2.

Lets's calculate GCF of 14,82,196

Greatest Common Factor (GCF) of 14,82,196 By Common Division

2	14, 82, 196
	7, 41, 98

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

Greatest Common Factor of 14,82,196 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 196

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 14,82,196 . The biggest common factor number is the GCF number.
So the greatest common factor 14,82,196 is 2.

Lets's calculate LCM of 295,219,956

Lowest Common Multiple of 295,219,956 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61762380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61762380

Therefore, the GCF of Fractions 14/295,82/219,196/956 is 2/61762380

Least Common Multiple of 295,219,956 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 295,219,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,219,956) = 1

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

GCF(295,219,956) x common factors =1 x 1 = 1

LCM(295,219,956) = ( 295 × 219 × 956 ) / 1

LCM(295,219,956) = 61762380 / 1

LCM(295,219,956) = 61762380

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/295, 82/219, 196/956

1. What is the HCF of 14,82,196?

The HCF of 14,82,196 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 14/295, 82/219, 196/956?

Answer: GCF of Numerators as per given numbers 14/295, 82/219, 196/956 is

GCF of Numerators i.e. for 14,82,196 is 2

LCM of denominators i.e. for 295,219,956 is 61762380.

Thus, GCF of Fractions is 2/61762380.Finally, GCF of Fractions for 14/295, 82/219, 196/956 is 2/61762380.