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GCF of 16/732, 772/233

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 16/732, 772/233 i.e 4/170556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/732, 772/233.

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 16/732,772/233?

Given fractions are 16/732,772/233

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 16/732,772/233, numerators are 16,772

Denominators are 732,233

The GCF of 16,772 is 4 .

LCM of 732,233 is 170556.

The greatest common factor of 16/732,772/233 = [GCF of 16,772]/[LCM of 732,233]= 4/170556

Therefore, the GCF of 16/732,772/233 is 4/170556.

Greatest Common Factor of 16,772

To find the highest common factor of 16,772, we have to find the factors of both numbers and list the highest common factor.

The factors of 16 are 1, 2, 4, 8, 16

The factors of 772 are 1, 2, 4, 193, 386, 772

The HCF of 16,772 is 4.

Lets's calculate GCF of 16,772

Greatest Common Factor (GCF) of 16,772 By Common Division

2 16, 772
2 8, 386
4, 193

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

Greatest Common Factor of 16,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,772 By Matching Biggest Common Factor Method

Now, list down the factors of 16

:

1,2,4,8,16

Now, list down the factors of 772

:

1,2,4,193,386,772

Greatest Common Factor

We found the factors 16,772 . The biggest common factor number is the GCF number.
So the greatest common factor 16,772 is 4.

Lets's calculate LCM of 732,233

Lowest Common Multiple of 732,233 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 170556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/170556

Therefore, the GCF of Fractions 16/732,772/233 is 4/170556

Least Common Multiple of 732,233 with GCF Formula

Least Common Multiple of 732,233 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 732,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,233) = 1

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

GCF(732,233) x common factors =1 x 1 = 1

LCM(732,233) = ( 732 × 233 ) / 1

LCM(732,233) = 170556 / 1

LCM(732,233) = 170556


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FAQs on GCF of Fractions of 16/732, 772/233

1. What is the HCF of 16,772?

The HCF of 16,772 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 16/732, 772/233?

Answer: GCF of Numerators as per given numbers 16/732, 772/233 is

GCF of Numerators i.e. for 16,772 is 4

LCM of denominators i.e. for 732,233 is 170556.

Thus, GCF of Fractions is 4/170556.Finally, GCF of Fractions for 16/732, 772/233 is 4/170556.