How to Find GCF of 5600/328, 9032/725?

GCF of 5600/328, 9032/725

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 5600/328, 9032/725 i.e 8/237800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5600/328, 9032/725.

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 5600/328,9032/725?

Given fractions are 5600/328,9032/725

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 5600/328,9032/725, numerators are 5600,9032

Denominators are 328,725

The GCF of 5600,9032 is 8 .

LCM of 328,725 is 237800.

The greatest common factor of 5600/328,9032/725 = [GCF of 5600,9032]/[LCM of 328,725]= 8/237800

Therefore, the GCF of 5600/328,9032/725 is 8/237800.

Greatest Common Factor of 5600,9032

To find the highest common factor of 5600,9032, we have to find the factors of both numbers and list the highest common factor.

The factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600

The factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032

The HCF of 5600,9032 is 8.

Lets's calculate GCF of 5600,9032

Greatest Common Factor (GCF) of 5600,9032 By Common Division

2	5600, 9032
2	2800, 4516
2	1400, 2258
	700, 1129

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5600,9032 By Matching Biggest Common Factor Method

Now, list down the factors of 5600

1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600

Now, list down the factors of 9032

1,2,4,8,1129,2258,4516,9032

Greatest Common Factor

We found the factors 5600,9032 . The biggest common factor number is the GCF number.
So the greatest common factor 5600,9032 is 8.

Lets's calculate LCM of 328,725

Lowest Common Multiple of 328,725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 237800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/237800

Therefore, the GCF of Fractions 5600/328,9032/725 is 8/237800

Least Common Multiple of 328,725 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 328,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,725) = 1

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

GCF(328,725) x common factors =1 x 1 = 1

LCM(328,725) = ( 328 × 725 ) / 1

LCM(328,725) = 237800 / 1

LCM(328,725) = 237800

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FAQs on GCF of Fractions of 5600/328, 9032/725

1. What is the HCF of 5600,9032?

The HCF of 5600,9032 is 8

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 5600/328, 9032/725?

Answer: GCF of Numerators as per given numbers 5600/328, 9032/725 is

GCF of Numerators i.e. for 5600,9032 is 8

LCM of denominators i.e. for 328,725 is 237800.

Thus, GCF of Fractions is 8/237800.Finally, GCF of Fractions for 5600/328, 9032/725 is 8/237800.