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GCF of 755/16, 569/5996

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 755/16, 569/5996 i.e 1/23984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 755/16, 569/5996.

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 755/16,569/5996?

Given fractions are 755/16,569/5996

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 755/16,569/5996, numerators are 755,569

Denominators are 16,5996

The GCF of 755,569 is 1 .

LCM of 16,5996 is 23984.

The greatest common factor of 755/16,569/5996 = [GCF of 755,569]/[LCM of 16,5996]= 1/23984

Therefore, the GCF of 755/16,569/5996 is 1/23984.

Greatest Common Factor of 755,569

To find the highest common factor of 755,569, we have to find the factors of both numbers and list the highest common factor.

The factors of 755 are 1, 5, 151, 755

The factors of 569 are 1, 569

The HCF of 755,569 is 1.

Lets's calculate GCF of 755,569

Greatest Common Factor (GCF) of 755,569 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 755,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,569 By Matching Biggest Common Factor Method

Now, list down the factors of 755

:

1,5,151,755

Now, list down the factors of 569

:

1,569

Greatest Common Factor

We found the factors 755,569 . The biggest common factor number is the GCF number.
So the greatest common factor 755,569 is 1.

Lets's calculate LCM of 16,5996

Lowest Common Multiple of 16,5996 using Common Division

2 16, 5996
2 8, 2998
4, 1499

∴ So the LCM of the given numbers is 2 x 2 x 4 x 1499 = 23984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23984

Therefore, the GCF of Fractions 755/16,569/5996 is 1/23984

Least Common Multiple of 16,5996 with GCF Formula

Least Common Multiple of 16,5996 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 16,5996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,5996) = 4

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

GCF(16,5996) x common factors =4 x 1 = 4

LCM(16,5996) = ( 16 × 5996 ) / 4

LCM(16,5996) = 95936 / 4

LCM(16,5996) = 23984


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FAQs on GCF of Fractions of 755/16, 569/5996

1. What is the HCF of 755,569?

The HCF of 755,569 is 1

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 755/16, 569/5996?

Answer: GCF of Numerators as per given numbers 755/16, 569/5996 is

GCF of Numerators i.e. for 755,569 is 1

LCM of denominators i.e. for 16,5996 is 23984.

Thus, GCF of Fractions is 1/23984.Finally, GCF of Fractions for 755/16, 569/5996 is 1/23984.