How to Find GCF of 8930/661, 2437/9368?

GCF of 8930/661, 2437/9368

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 8930/661, 2437/9368 i.e 1/6192248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8930/661, 2437/9368.

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 8930/661,2437/9368?

Given fractions are 8930/661,2437/9368

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 8930/661,2437/9368, numerators are 8930,2437

Denominators are 661,9368

The GCF of 8930,2437 is 1 .

LCM of 661,9368 is 6192248.

The greatest common factor of 8930/661,2437/9368 = [GCF of 8930,2437]/[LCM of 661,9368]= 1/6192248

Therefore, the GCF of 8930/661,2437/9368 is 1/6192248.

Greatest Common Factor of 8930,2437

To find the highest common factor of 8930,2437, we have to find the factors of both numbers and list the highest common factor.

The factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930

The factors of 2437 are 1, 2437

The HCF of 8930,2437 is 1.

Lets's calculate GCF of 8930,2437

Greatest Common Factor (GCF) of 8930,2437 By Common Division

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

Greatest Common Factor of 8930,2437 By Matching Biggest Common Factor Method

Now, list down the factors of 8930

1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930

Now, list down the factors of 2437

1,2437

Greatest Common Factor

We found the factors 8930,2437 . The biggest common factor number is the GCF number.
So the greatest common factor 8930,2437 is 1.

Lets's calculate LCM of 661,9368

Lowest Common Multiple of 661,9368 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6192248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6192248

Therefore, the GCF of Fractions 8930/661,2437/9368 is 1/6192248

Least Common Multiple of 661,9368 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 661,9368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,9368) = 1

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

GCF(661,9368) x common factors =1 x 1 = 1

LCM(661,9368) = ( 661 × 9368 ) / 1

LCM(661,9368) = 6192248 / 1

LCM(661,9368) = 6192248

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8930/661, 2437/9368

1. What is the HCF of 8930,2437?

The HCF of 8930,2437 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 8930/661, 2437/9368?

Answer: GCF of Numerators as per given numbers 8930/661, 2437/9368 is

GCF of Numerators i.e. for 8930,2437 is 1

LCM of denominators i.e. for 661,9368 is 6192248.

Thus, GCF of Fractions is 1/6192248.Finally, GCF of Fractions for 8930/661, 2437/9368 is 1/6192248.