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GCF of 728/92, 685/384

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 728/92, 685/384 i.e 1/8832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 728/92, 685/384.

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 728/92,685/384?

Given fractions are 728/92,685/384

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 728/92,685/384, numerators are 728,685

Denominators are 92,384

The GCF of 728,685 is 1 .

LCM of 92,384 is 8832.

The greatest common factor of 728/92,685/384 = [GCF of 728,685]/[LCM of 92,384]= 1/8832

Therefore, the GCF of 728/92,685/384 is 1/8832.

Greatest Common Factor of 728,685

To find the highest common factor of 728,685, we have to find the factors of both numbers and list the highest common factor.

The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The factors of 685 are 1, 5, 137, 685

The HCF of 728,685 is 1.

Lets's calculate GCF of 728,685

Greatest Common Factor (GCF) of 728,685 By Common Division

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

Greatest Common Factor of 728,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,685 By Matching Biggest Common Factor Method

Now, list down the factors of 728

:

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Now, list down the factors of 685

:

1,5,137,685

Greatest Common Factor

We found the factors 728,685 . The biggest common factor number is the GCF number.
So the greatest common factor 728,685 is 1.

Lets's calculate LCM of 92,384

Lowest Common Multiple of 92,384 using Common Division

2 92, 384
2 46, 192
23, 96

∴ So the LCM of the given numbers is 2 x 2 x 23 x 96 = 8832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8832

Therefore, the GCF of Fractions 728/92,685/384 is 1/8832

Least Common Multiple of 92,384 with GCF Formula

Least Common Multiple of 92,384 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 92,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,384) = 4

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

GCF(92,384) x common factors =4 x 1 = 4

LCM(92,384) = ( 92 × 384 ) / 4

LCM(92,384) = 35328 / 4

LCM(92,384) = 8832


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FAQs on GCF of Fractions of 728/92, 685/384

1. What is the HCF of 728,685?

The HCF of 728,685 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 728/92, 685/384?

Answer: GCF of Numerators as per given numbers 728/92, 685/384 is

GCF of Numerators i.e. for 728,685 is 1

LCM of denominators i.e. for 92,384 is 8832.

Thus, GCF of Fractions is 1/8832.Finally, GCF of Fractions for 728/92, 685/384 is 1/8832.