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GCF of 160/325, 732/192

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 160/325, 732/192 i.e 4/62400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 160/325, 732/192.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 160/325,732/192?

Given fractions are 160/325,732/192

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 160/325,732/192, numerators are 160,732

Denominators are 325,192

The GCF of 160,732 is 4 .

LCM of 325,192 is 62400.

The greatest common factor of 160/325,732/192 = [GCF of 160,732]/[LCM of 325,192]= 4/62400

Therefore, the GCF of 160/325,732/192 is 4/62400.

Greatest Common Factor of 160,732

To find the highest common factor of 160,732, we have to find the factors of both numbers and list the highest common factor.

The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The HCF of 160,732 is 4.

Lets's calculate GCF of 160,732

Greatest Common Factor (GCF) of 160,732 By Common Division

2 160, 732
2 80, 366
40, 183

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 160,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,732 By Matching Biggest Common Factor Method

Now, list down the factors of 160

:

1,2,4,5,8,10,16,20,32,40,80,160

Now, list down the factors of 732

:

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 160,732 . The biggest common factor number is the GCF number.
So the greatest common factor 160,732 is 4.

Lets's calculate LCM of 325,192

Lowest Common Multiple of 325,192 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 62400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62400

Therefore, the GCF of Fractions 160/325,732/192 is 4/62400

Least Common Multiple of 325,192 with GCF Formula

Least Common Multiple of 325,192 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 325,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,192) = 1

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

GCF(325,192) x common factors =1 x 1 = 1

LCM(325,192) = ( 325 × 192 ) / 1

LCM(325,192) = 62400 / 1

LCM(325,192) = 62400


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FAQs on GCF of Fractions of 160/325, 732/192

1. What is the HCF of 160,732?

The HCF of 160,732 is 4

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 160/325, 732/192?

Answer: GCF of Numerators as per given numbers 160/325, 732/192 is

GCF of Numerators i.e. for 160,732 is 4

LCM of denominators i.e. for 325,192 is 62400.

Thus, GCF of Fractions is 4/62400.Finally, GCF of Fractions for 160/325, 732/192 is 4/62400.