How to Find GCF of 570/295, 870/563?

GCF of 570/295, 870/563

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 570/295, 870/563 i.e 30/166085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/295, 870/563.

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 570/295,870/563?

Given fractions are 570/295,870/563

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 570/295,870/563, numerators are 570,870

Denominators are 295,563

The GCF of 570,870 is 30 .

LCM of 295,563 is 166085.

The greatest common factor of 570/295,870/563 = [GCF of 570,870]/[LCM of 295,563]= 30/166085

Therefore, the GCF of 570/295,870/563 is 30/166085.

Greatest Common Factor of 570,870

To find the highest common factor of 570,870, 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 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 570,870 is 30.

Lets's calculate GCF of 570,870

Greatest Common Factor (GCF) of 570,870 By Common Division

2	570, 870
3	285, 435
5	95, 145
	19, 29

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 570,870 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 870

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 570,870 . The biggest common factor number is the GCF number.
So the greatest common factor 570,870 is 30.

Lets's calculate LCM of 295,563

Lowest Common Multiple of 295,563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 166085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/166085

Therefore, the GCF of Fractions 570/295,870/563 is 30/166085

Least Common Multiple of 295,563 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 295,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,563) = 1

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

GCF(295,563) x common factors =1 x 1 = 1

LCM(295,563) = ( 295 × 563 ) / 1

LCM(295,563) = 166085 / 1

LCM(295,563) = 166085

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FAQs on GCF of Fractions of 570/295, 870/563

1. What is the HCF of 570,870?

The HCF of 570,870 is 30

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 570/295, 870/563?

Answer: GCF of Numerators as per given numbers 570/295, 870/563 is

GCF of Numerators i.e. for 570,870 is 30

LCM of denominators i.e. for 295,563 is 166085.

Thus, GCF of Fractions is 30/166085.Finally, GCF of Fractions for 570/295, 870/563 is 30/166085.