How to Find GCF of 9619/196, 2152/4940?

GCF of 9619/196, 2152/4940

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 9619/196, 2152/4940 i.e 1/242060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9619/196, 2152/4940.

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 9619/196,2152/4940?

Given fractions are 9619/196,2152/4940

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 9619/196,2152/4940, numerators are 9619,2152

Denominators are 196,4940

The GCF of 9619,2152 is 1 .

LCM of 196,4940 is 242060.

The greatest common factor of 9619/196,2152/4940 = [GCF of 9619,2152]/[LCM of 196,4940]= 1/242060

Therefore, the GCF of 9619/196,2152/4940 is 1/242060.

Greatest Common Factor of 9619,2152

To find the highest common factor of 9619,2152, we have to find the factors of both numbers and list the highest common factor.

The factors of 9619 are 1, 9619

The factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152

The HCF of 9619,2152 is 1.

Lets's calculate GCF of 9619,2152

Greatest Common Factor (GCF) of 9619,2152 By Common Division

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

Greatest Common Factor of 9619,2152 By Matching Biggest Common Factor Method

Now, list down the factors of 9619

1,9619

Now, list down the factors of 2152

1,2,4,8,269,538,1076,2152

Greatest Common Factor

We found the factors 9619,2152 . The biggest common factor number is the GCF number.
So the greatest common factor 9619,2152 is 1.

Lets's calculate LCM of 196,4940

Lowest Common Multiple of 196,4940 using Common Division

2	196, 4940
2	98, 2470
	49, 1235

∴ So the LCM of the given numbers is 2 x 2 x 49 x 1235 = 242060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242060

Therefore, the GCF of Fractions 9619/196,2152/4940 is 1/242060

Least Common Multiple of 196,4940 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 196,4940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,4940) = 4

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

GCF(196,4940) x common factors =4 x 1 = 4

LCM(196,4940) = ( 196 × 4940 ) / 4

LCM(196,4940) = 968240 / 4

LCM(196,4940) = 242060

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FAQs on GCF of Fractions of 9619/196, 2152/4940

1. What is the HCF of 9619,2152?

The HCF of 9619,2152 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 9619/196, 2152/4940?

Answer: GCF of Numerators as per given numbers 9619/196, 2152/4940 is

GCF of Numerators i.e. for 9619,2152 is 1

LCM of denominators i.e. for 196,4940 is 242060.

Thus, GCF of Fractions is 1/242060.Finally, GCF of Fractions for 9619/196, 2152/4940 is 1/242060.