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GCF of 889/532, 967/728

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 889/532, 967/728 i.e 1/13832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/532, 967/728.

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 889/532,967/728?

Given fractions are 889/532,967/728

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 889/532,967/728, numerators are 889,967

Denominators are 532,728

The GCF of 889,967 is 1 .

LCM of 532,728 is 13832.

The greatest common factor of 889/532,967/728 = [GCF of 889,967]/[LCM of 532,728]= 1/13832

Therefore, the GCF of 889/532,967/728 is 1/13832.

Greatest Common Factor of 889,967

To find the highest common factor of 889,967, we have to find the factors of both numbers and list the highest common factor.

The factors of 889 are 1, 7, 127, 889

The factors of 967 are 1, 967

The HCF of 889,967 is 1.

Lets's calculate GCF of 889,967

Greatest Common Factor (GCF) of 889,967 By Common Division

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

Greatest Common Factor of 889,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,967 By Matching Biggest Common Factor Method

Now, list down the factors of 889

:

1,7,127,889

Now, list down the factors of 967

:

1,967

Greatest Common Factor

We found the factors 889,967 . The biggest common factor number is the GCF number.
So the greatest common factor 889,967 is 1.

Lets's calculate LCM of 532,728

Lowest Common Multiple of 532,728 using Common Division

2 532, 728
2 266, 364
7 133, 182
19, 26

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 26 = 13832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13832

Therefore, the GCF of Fractions 889/532,967/728 is 1/13832

Least Common Multiple of 532,728 with GCF Formula

Least Common Multiple of 532,728 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 532,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,728) = 28

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

GCF(532,728) x common factors =28 x 1 = 28

LCM(532,728) = ( 532 × 728 ) / 28

LCM(532,728) = 387296 / 28

LCM(532,728) = 13832


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FAQs on GCF of Fractions of 889/532, 967/728

1. What is the HCF of 889,967?

The HCF of 889,967 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 889/532, 967/728?

Answer: GCF of Numerators as per given numbers 889/532, 967/728 is

GCF of Numerators i.e. for 889,967 is 1

LCM of denominators i.e. for 532,728 is 13832.

Thus, GCF of Fractions is 1/13832.Finally, GCF of Fractions for 889/532, 967/728 is 1/13832.