How to Find GCF of 6266/196, 9124/7631?

GCF of 6266/196, 9124/7631

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 6266/196, 9124/7631 i.e 2/1495676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6266/196, 9124/7631.

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 6266/196,9124/7631?

Given fractions are 6266/196,9124/7631

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 6266/196,9124/7631, numerators are 6266,9124

Denominators are 196,7631

The GCF of 6266,9124 is 2 .

LCM of 196,7631 is 1495676.

The greatest common factor of 6266/196,9124/7631 = [GCF of 6266,9124]/[LCM of 196,7631]= 2/1495676

Therefore, the GCF of 6266/196,9124/7631 is 2/1495676.

Greatest Common Factor of 6266,9124

To find the highest common factor of 6266,9124, we have to find the factors of both numbers and list the highest common factor.

The factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266

The factors of 9124 are 1, 2, 4, 2281, 4562, 9124

The HCF of 6266,9124 is 2.

Lets's calculate GCF of 6266,9124

Greatest Common Factor (GCF) of 6266,9124 By Common Division

2	6266, 9124
	3133, 4562

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

Greatest Common Factor of 6266,9124 By Matching Biggest Common Factor Method

Now, list down the factors of 6266

1,2,13,26,241,482,3133,6266

Now, list down the factors of 9124

1,2,4,2281,4562,9124

Greatest Common Factor

We found the factors 6266,9124 . The biggest common factor number is the GCF number.
So the greatest common factor 6266,9124 is 2.

Lets's calculate LCM of 196,7631

Lowest Common Multiple of 196,7631 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1495676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1495676

Therefore, the GCF of Fractions 6266/196,9124/7631 is 2/1495676

Least Common Multiple of 196,7631 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 196,7631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,7631) = 1

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

GCF(196,7631) x common factors =1 x 1 = 1

LCM(196,7631) = ( 196 × 7631 ) / 1

LCM(196,7631) = 1495676 / 1

LCM(196,7631) = 1495676

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6266/196, 9124/7631

1. What is the HCF of 6266,9124?

The HCF of 6266,9124 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 6266/196, 9124/7631?

Answer: GCF of Numerators as per given numbers 6266/196, 9124/7631 is

GCF of Numerators i.e. for 6266,9124 is 2

LCM of denominators i.e. for 196,7631 is 1495676.

Thus, GCF of Fractions is 2/1495676.Finally, GCF of Fractions for 6266/196, 9124/7631 is 2/1495676.