How to Find GCF of 8161/237, 3716/7360?

GCF of 8161/237, 3716/7360

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 8161/237, 3716/7360 i.e 1/1744320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8161/237, 3716/7360.

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 8161/237,3716/7360?

Given fractions are 8161/237,3716/7360

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 8161/237,3716/7360, numerators are 8161,3716

Denominators are 237,7360

The GCF of 8161,3716 is 1 .

LCM of 237,7360 is 1744320.

The greatest common factor of 8161/237,3716/7360 = [GCF of 8161,3716]/[LCM of 237,7360]= 1/1744320

Therefore, the GCF of 8161/237,3716/7360 is 1/1744320.

Greatest Common Factor of 8161,3716

To find the highest common factor of 8161,3716, we have to find the factors of both numbers and list the highest common factor.

The factors of 8161 are 1, 8161

The factors of 3716 are 1, 2, 4, 929, 1858, 3716

The HCF of 8161,3716 is 1.

Lets's calculate GCF of 8161,3716

Greatest Common Factor (GCF) of 8161,3716 By Common Division

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

Greatest Common Factor of 8161,3716 By Matching Biggest Common Factor Method

Now, list down the factors of 8161

1,8161

Now, list down the factors of 3716

1,2,4,929,1858,3716

Greatest Common Factor

We found the factors 8161,3716 . The biggest common factor number is the GCF number.
So the greatest common factor 8161,3716 is 1.

Lets's calculate LCM of 237,7360

Lowest Common Multiple of 237,7360 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1744320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1744320

Therefore, the GCF of Fractions 8161/237,3716/7360 is 1/1744320

Least Common Multiple of 237,7360 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 237,7360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,7360) = 1

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

GCF(237,7360) x common factors =1 x 1 = 1

LCM(237,7360) = ( 237 × 7360 ) / 1

LCM(237,7360) = 1744320 / 1

LCM(237,7360) = 1744320

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FAQs on GCF of Fractions of 8161/237, 3716/7360

1. What is the HCF of 8161,3716?

The HCF of 8161,3716 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 8161/237, 3716/7360?

Answer: GCF of Numerators as per given numbers 8161/237, 3716/7360 is

GCF of Numerators i.e. for 8161,3716 is 1

LCM of denominators i.e. for 237,7360 is 1744320.

Thus, GCF of Fractions is 1/1744320.Finally, GCF of Fractions for 8161/237, 3716/7360 is 1/1744320.