How to Find GCF of 660/685, 340/568?

GCF of 660/685, 340/568

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 660/685, 340/568 i.e 20/389080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/685, 340/568.

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 660/685,340/568?

Given fractions are 660/685,340/568

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 660/685,340/568, numerators are 660,340

Denominators are 685,568

The GCF of 660,340 is 20 .

LCM of 685,568 is 389080.

The greatest common factor of 660/685,340/568 = [GCF of 660,340]/[LCM of 685,568]= 20/389080

Therefore, the GCF of 660/685,340/568 is 20/389080.

Greatest Common Factor of 660,340

To find the highest common factor of 660,340, we have to find the factors of both numbers and list the highest common factor.

The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The HCF of 660,340 is 20.

Lets's calculate GCF of 660,340

Greatest Common Factor (GCF) of 660,340 By Common Division

2	660, 340
2	330, 170
5	165, 85
	33, 17

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 660,340 By Matching Biggest Common Factor Method

Now, list down the factors of 660

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Now, list down the factors of 340

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 660,340 . The biggest common factor number is the GCF number.
So the greatest common factor 660,340 is 20.

Lets's calculate LCM of 685,568

Lowest Common Multiple of 685,568 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 389080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/389080

Therefore, the GCF of Fractions 660/685,340/568 is 20/389080

Least Common Multiple of 685,568 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 685,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,568) = 1

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

GCF(685,568) x common factors =1 x 1 = 1

LCM(685,568) = ( 685 × 568 ) / 1

LCM(685,568) = 389080 / 1

LCM(685,568) = 389080

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FAQs on GCF of Fractions of 660/685, 340/568

1. What is the HCF of 660,340?

The HCF of 660,340 is 20

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 660/685, 340/568?

Answer: GCF of Numerators as per given numbers 660/685, 340/568 is

GCF of Numerators i.e. for 660,340 is 20

LCM of denominators i.e. for 685,568 is 389080.

Thus, GCF of Fractions is 20/389080.Finally, GCF of Fractions for 660/685, 340/568 is 20/389080.