How to Find GCF of 2147/365, 8726/7903?

GCF of 2147/365, 8726/7903

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 2147/365, 8726/7903 i.e 1/2884595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2147/365, 8726/7903.

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 2147/365,8726/7903?

Given fractions are 2147/365,8726/7903

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 2147/365,8726/7903, numerators are 2147,8726

Denominators are 365,7903

The GCF of 2147,8726 is 1 .

LCM of 365,7903 is 2884595.

The greatest common factor of 2147/365,8726/7903 = [GCF of 2147,8726]/[LCM of 365,7903]= 1/2884595

Therefore, the GCF of 2147/365,8726/7903 is 1/2884595.

Greatest Common Factor of 2147,8726

To find the highest common factor of 2147,8726, we have to find the factors of both numbers and list the highest common factor.

The factors of 2147 are 1, 19, 113, 2147

The factors of 8726 are 1, 2, 4363, 8726

The HCF of 2147,8726 is 1.

Lets's calculate GCF of 2147,8726

Greatest Common Factor (GCF) of 2147,8726 By Common Division

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

Greatest Common Factor of 2147,8726 By Matching Biggest Common Factor Method

Now, list down the factors of 2147

1,19,113,2147

Now, list down the factors of 8726

1,2,4363,8726

Greatest Common Factor

We found the factors 2147,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 2147,8726 is 1.

Lets's calculate LCM of 365,7903

Lowest Common Multiple of 365,7903 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2884595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2884595

Therefore, the GCF of Fractions 2147/365,8726/7903 is 1/2884595

Least Common Multiple of 365,7903 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 365,7903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,7903) = 1

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

GCF(365,7903) x common factors =1 x 1 = 1

LCM(365,7903) = ( 365 × 7903 ) / 1

LCM(365,7903) = 2884595 / 1

LCM(365,7903) = 2884595

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FAQs on GCF of Fractions of 2147/365, 8726/7903

1. What is the HCF of 2147,8726?

The HCF of 2147,8726 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 2147/365, 8726/7903?

Answer: GCF of Numerators as per given numbers 2147/365, 8726/7903 is

GCF of Numerators i.e. for 2147,8726 is 1

LCM of denominators i.e. for 365,7903 is 2884595.

Thus, GCF of Fractions is 1/2884595.Finally, GCF of Fractions for 2147/365, 8726/7903 is 1/2884595.