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GCF of 570/955, 4022/143

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 570/955, 4022/143 i.e 2/136565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/955, 4022/143.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 570/955,4022/143?

Given fractions are 570/955,4022/143

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 570/955,4022/143, numerators are 570,4022

Denominators are 955,143

The GCF of 570,4022 is 2 .

LCM of 955,143 is 136565.

The greatest common factor of 570/955,4022/143 = [GCF of 570,4022]/[LCM of 955,143]= 2/136565

Therefore, the GCF of 570/955,4022/143 is 2/136565.

Greatest Common Factor of 570,4022

To find the highest common factor of 570,4022, we have to find the factors of both numbers and list the highest common factor.

The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

The factors of 4022 are 1, 2, 2011, 4022

The HCF of 570,4022 is 2.

Lets's calculate GCF of 570,4022

Greatest Common Factor (GCF) of 570,4022 By Common Division

2 570, 4022
285, 2011

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 570,4022 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,4022 By Matching Biggest Common Factor Method

Now, list down the factors of 570

:

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Now, list down the factors of 4022

:

1,2,2011,4022

Greatest Common Factor

We found the factors 570,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 570,4022 is 2.

Lets's calculate LCM of 955,143

Lowest Common Multiple of 955,143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 136565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136565

Therefore, the GCF of Fractions 570/955,4022/143 is 2/136565

Least Common Multiple of 955,143 with GCF Formula

Least Common Multiple of 955,143 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 955,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,143) = 1

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

GCF(955,143) x common factors =1 x 1 = 1

LCM(955,143) = ( 955 × 143 ) / 1

LCM(955,143) = 136565 / 1

LCM(955,143) = 136565


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 570/955, 4022/143

1. What is the HCF of 570,4022?

The HCF of 570,4022 is 2

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 570/955, 4022/143?

Answer: GCF of Numerators as per given numbers 570/955, 4022/143 is

GCF of Numerators i.e. for 570,4022 is 2

LCM of denominators i.e. for 955,143 is 136565.

Thus, GCF of Fractions is 2/136565.Finally, GCF of Fractions for 570/955, 4022/143 is 2/136565.