How to Find GCF of 714/660, 920/568?

GCF of 714/660, 920/568

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 714/660, 920/568 i.e 2/93720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 714/660, 920/568.

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 714/660,920/568?

Given fractions are 714/660,920/568

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 714/660,920/568, numerators are 714,920

Denominators are 660,568

The GCF of 714,920 is 2 .

LCM of 660,568 is 93720.

The greatest common factor of 714/660,920/568 = [GCF of 714,920]/[LCM of 660,568]= 2/93720

Therefore, the GCF of 714/660,920/568 is 2/93720.

Greatest Common Factor of 714,920

To find the highest common factor of 714,920, we have to find the factors of both numbers and list the highest common factor.

The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

The HCF of 714,920 is 2.

Lets's calculate GCF of 714,920

Greatest Common Factor (GCF) of 714,920 By Common Division

2	714, 920
	357, 460

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

Greatest Common Factor of 714,920 By Matching Biggest Common Factor Method

Now, list down the factors of 714

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Now, list down the factors of 920

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 714,920 . The biggest common factor number is the GCF number.
So the greatest common factor 714,920 is 2.

Lets's calculate LCM of 660,568

Lowest Common Multiple of 660,568 using Common Division

2	660, 568
2	330, 284
	165, 142

∴ So the LCM of the given numbers is 2 x 2 x 165 x 142 = 93720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93720

Therefore, the GCF of Fractions 714/660,920/568 is 2/93720

Least Common Multiple of 660,568 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 660,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,568) = 4

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

GCF(660,568) x common factors =4 x 1 = 4

LCM(660,568) = ( 660 × 568 ) / 4

LCM(660,568) = 374880 / 4

LCM(660,568) = 93720

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FAQs on GCF of Fractions of 714/660, 920/568

1. What is the HCF of 714,920?

The HCF of 714,920 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 714/660, 920/568?

Answer: GCF of Numerators as per given numbers 714/660, 920/568 is

GCF of Numerators i.e. for 714,920 is 2

LCM of denominators i.e. for 660,568 is 93720.

Thus, GCF of Fractions is 2/93720.Finally, GCF of Fractions for 714/660, 920/568 is 2/93720.