How to Find GCF of 1285/227, 2873/6570?

GCF of 1285/227, 2873/6570

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 1285/227, 2873/6570 i.e 1/1491390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1285/227, 2873/6570.

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 1285/227,2873/6570?

Given fractions are 1285/227,2873/6570

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 1285/227,2873/6570, numerators are 1285,2873

Denominators are 227,6570

The GCF of 1285,2873 is 1 .

LCM of 227,6570 is 1491390.

The greatest common factor of 1285/227,2873/6570 = [GCF of 1285,2873]/[LCM of 227,6570]= 1/1491390

Therefore, the GCF of 1285/227,2873/6570 is 1/1491390.

Greatest Common Factor of 1285,2873

To find the highest common factor of 1285,2873, we have to find the factors of both numbers and list the highest common factor.

The factors of 1285 are 1, 5, 257, 1285

The factors of 2873 are 1, 13, 17, 169, 221, 2873

The HCF of 1285,2873 is 1.

Lets's calculate GCF of 1285,2873

Greatest Common Factor (GCF) of 1285,2873 By Common Division

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

Greatest Common Factor of 1285,2873 By Matching Biggest Common Factor Method

Now, list down the factors of 1285

1,5,257,1285

Now, list down the factors of 2873

1,13,17,169,221,2873

Greatest Common Factor

We found the factors 1285,2873 . The biggest common factor number is the GCF number.
So the greatest common factor 1285,2873 is 1.

Lets's calculate LCM of 227,6570

Lowest Common Multiple of 227,6570 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1491390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1491390

Therefore, the GCF of Fractions 1285/227,2873/6570 is 1/1491390

Least Common Multiple of 227,6570 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 227,6570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,6570) = 1

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

GCF(227,6570) x common factors =1 x 1 = 1

LCM(227,6570) = ( 227 × 6570 ) / 1

LCM(227,6570) = 1491390 / 1

LCM(227,6570) = 1491390

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FAQs on GCF of Fractions of 1285/227, 2873/6570

1. What is the HCF of 1285,2873?

The HCF of 1285,2873 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 1285/227, 2873/6570?

Answer: GCF of Numerators as per given numbers 1285/227, 2873/6570 is

GCF of Numerators i.e. for 1285,2873 is 1

LCM of denominators i.e. for 227,6570 is 1491390.

Thus, GCF of Fractions is 1/1491390.Finally, GCF of Fractions for 1285/227, 2873/6570 is 1/1491390.