How to Find GCF of 2284/101, 2271/753?

GCF of 2284/101, 2271/753

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 2284/101, 2271/753 i.e 1/76053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2284/101, 2271/753.

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 2284/101,2271/753?

Given fractions are 2284/101,2271/753

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 2284/101,2271/753, numerators are 2284,2271

Denominators are 101,753

The GCF of 2284,2271 is 1 .

LCM of 101,753 is 76053.

The greatest common factor of 2284/101,2271/753 = [GCF of 2284,2271]/[LCM of 101,753]= 1/76053

Therefore, the GCF of 2284/101,2271/753 is 1/76053.

Greatest Common Factor of 2284,2271

To find the highest common factor of 2284,2271, we have to find the factors of both numbers and list the highest common factor.

The factors of 2284 are 1, 2, 4, 571, 1142, 2284

The factors of 2271 are 1, 3, 757, 2271

The HCF of 2284,2271 is 1.

Lets's calculate GCF of 2284,2271

Greatest Common Factor (GCF) of 2284,2271 By Common Division

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

Greatest Common Factor of 2284,2271 By Matching Biggest Common Factor Method

Now, list down the factors of 2284

1,2,4,571,1142,2284

Now, list down the factors of 2271

1,3,757,2271

Greatest Common Factor

We found the factors 2284,2271 . The biggest common factor number is the GCF number.
So the greatest common factor 2284,2271 is 1.

Lets's calculate LCM of 101,753

Lowest Common Multiple of 101,753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 76053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76053

Therefore, the GCF of Fractions 2284/101,2271/753 is 1/76053

Least Common Multiple of 101,753 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 101,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,753) = 1

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

GCF(101,753) x common factors =1 x 1 = 1

LCM(101,753) = ( 101 × 753 ) / 1

LCM(101,753) = 76053 / 1

LCM(101,753) = 76053

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FAQs on GCF of Fractions of 2284/101, 2271/753

1. What is the HCF of 2284,2271?

The HCF of 2284,2271 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 2284/101, 2271/753?

Answer: GCF of Numerators as per given numbers 2284/101, 2271/753 is

GCF of Numerators i.e. for 2284,2271 is 1

LCM of denominators i.e. for 101,753 is 76053.

Thus, GCF of Fractions is 1/76053.Finally, GCF of Fractions for 2284/101, 2271/753 is 1/76053.