How to Find GCF of 360/40, 560/573?

GCF of 360/40, 560/573

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 360/40, 560/573 i.e 40/22920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/40, 560/573.

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 360/40,560/573?

Given fractions are 360/40,560/573

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 360/40,560/573, numerators are 360,560

Denominators are 40,573

The GCF of 360,560 is 40 .

LCM of 40,573 is 22920.

The greatest common factor of 360/40,560/573 = [GCF of 360,560]/[LCM of 40,573]= 40/22920

Therefore, the GCF of 360/40,560/573 is 40/22920.

Greatest Common Factor of 360,560

To find the highest common factor of 360,560, we have to find the factors of both numbers and list the highest common factor.

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

The HCF of 360,560 is 40.

Lets's calculate GCF of 360,560

Greatest Common Factor (GCF) of 360,560 By Common Division

2	360, 560
2	180, 280
2	90, 140
5	45, 70
	9, 14

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 360,560 By Matching Biggest Common Factor Method

Now, list down the factors of 360

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Now, list down the factors of 560

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 360,560 . The biggest common factor number is the GCF number.
So the greatest common factor 360,560 is 40.

Lets's calculate LCM of 40,573

Lowest Common Multiple of 40,573 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/22920

Therefore, the GCF of Fractions 360/40,560/573 is 40/22920

Least Common Multiple of 40,573 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 40,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,573) = 1

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

GCF(40,573) x common factors =1 x 1 = 1

LCM(40,573) = ( 40 × 573 ) / 1

LCM(40,573) = 22920 / 1

LCM(40,573) = 22920

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FAQs on GCF of Fractions of 360/40, 560/573

1. What is the HCF of 360,560?

The HCF of 360,560 is 40

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 360/40, 560/573?

Answer: GCF of Numerators as per given numbers 360/40, 560/573 is

GCF of Numerators i.e. for 360,560 is 40

LCM of denominators i.e. for 40,573 is 22920.

Thus, GCF of Fractions is 40/22920.Finally, GCF of Fractions for 360/40, 560/573 is 40/22920.