How to Find GCF of 661/619, 9211/9524?

GCF of 661/619, 9211/9524

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 661/619, 9211/9524 i.e 1/5895356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 661/619, 9211/9524.

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 661/619,9211/9524?

Given fractions are 661/619,9211/9524

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 661/619,9211/9524, numerators are 661,9211

Denominators are 619,9524

The GCF of 661,9211 is 1 .

LCM of 619,9524 is 5895356.

The greatest common factor of 661/619,9211/9524 = [GCF of 661,9211]/[LCM of 619,9524]= 1/5895356

Therefore, the GCF of 661/619,9211/9524 is 1/5895356.

Greatest Common Factor of 661,9211

To find the highest common factor of 661,9211, we have to find the factors of both numbers and list the highest common factor.

The factors of 661 are 1, 661

The factors of 9211 are 1, 61, 151, 9211

The HCF of 661,9211 is 1.

Lets's calculate GCF of 661,9211

Greatest Common Factor (GCF) of 661,9211 By Common Division

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

Greatest Common Factor of 661,9211 By Matching Biggest Common Factor Method

Now, list down the factors of 661

1,661

Now, list down the factors of 9211

1,61,151,9211

Greatest Common Factor

We found the factors 661,9211 . The biggest common factor number is the GCF number.
So the greatest common factor 661,9211 is 1.

Lets's calculate LCM of 619,9524

Lowest Common Multiple of 619,9524 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5895356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5895356

Therefore, the GCF of Fractions 661/619,9211/9524 is 1/5895356

Least Common Multiple of 619,9524 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 619,9524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,9524) = 1

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

GCF(619,9524) x common factors =1 x 1 = 1

LCM(619,9524) = ( 619 × 9524 ) / 1

LCM(619,9524) = 5895356 / 1

LCM(619,9524) = 5895356

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FAQs on GCF of Fractions of 661/619, 9211/9524

1. What is the HCF of 661,9211?

The HCF of 661,9211 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 661/619, 9211/9524?

Answer: GCF of Numerators as per given numbers 661/619, 9211/9524 is

GCF of Numerators i.e. for 661,9211 is 1

LCM of denominators i.e. for 619,9524 is 5895356.

Thus, GCF of Fractions is 1/5895356.Finally, GCF of Fractions for 661/619, 9211/9524 is 1/5895356.