How to Find GCF of 1271/973, 8157/2253?

GCF of 1271/973, 8157/2253

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 1271/973, 8157/2253 i.e 1/2192169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1271/973, 8157/2253.

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 1271/973,8157/2253?

Given fractions are 1271/973,8157/2253

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 1271/973,8157/2253, numerators are 1271,8157

Denominators are 973,2253

The GCF of 1271,8157 is 1 .

LCM of 973,2253 is 2192169.

The greatest common factor of 1271/973,8157/2253 = [GCF of 1271,8157]/[LCM of 973,2253]= 1/2192169

Therefore, the GCF of 1271/973,8157/2253 is 1/2192169.

Greatest Common Factor of 1271,8157

To find the highest common factor of 1271,8157, we have to find the factors of both numbers and list the highest common factor.

The factors of 1271 are 1, 31, 41, 1271

The factors of 8157 are 1, 3, 2719, 8157

The HCF of 1271,8157 is 1.

Lets's calculate GCF of 1271,8157

Greatest Common Factor (GCF) of 1271,8157 By Common Division

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

Greatest Common Factor of 1271,8157 By Matching Biggest Common Factor Method

Now, list down the factors of 1271

1,31,41,1271

Now, list down the factors of 8157

1,3,2719,8157

Greatest Common Factor

We found the factors 1271,8157 . The biggest common factor number is the GCF number.
So the greatest common factor 1271,8157 is 1.

Lets's calculate LCM of 973,2253

Lowest Common Multiple of 973,2253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2192169

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2192169

Therefore, the GCF of Fractions 1271/973,8157/2253 is 1/2192169

Least Common Multiple of 973,2253 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 973,2253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,2253) = 1

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

GCF(973,2253) x common factors =1 x 1 = 1

LCM(973,2253) = ( 973 × 2253 ) / 1

LCM(973,2253) = 2192169 / 1

LCM(973,2253) = 2192169

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FAQs on GCF of Fractions of 1271/973, 8157/2253

1. What is the HCF of 1271,8157?

The HCF of 1271,8157 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 1271/973, 8157/2253?

Answer: GCF of Numerators as per given numbers 1271/973, 8157/2253 is

GCF of Numerators i.e. for 1271,8157 is 1

LCM of denominators i.e. for 973,2253 is 2192169.

Thus, GCF of Fractions is 1/2192169.Finally, GCF of Fractions for 1271/973, 8157/2253 is 1/2192169.