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GCF of 915/898, 874/728

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 915/898, 874/728 i.e 1/326872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/898, 874/728.

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 915/898,874/728?

Given fractions are 915/898,874/728

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 915/898,874/728, numerators are 915,874

Denominators are 898,728

The GCF of 915,874 is 1 .

LCM of 898,728 is 326872.

The greatest common factor of 915/898,874/728 = [GCF of 915,874]/[LCM of 898,728]= 1/326872

Therefore, the GCF of 915/898,874/728 is 1/326872.

Greatest Common Factor of 915,874

To find the highest common factor of 915,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 915,874 is 1.

Lets's calculate GCF of 915,874

Greatest Common Factor (GCF) of 915,874 By Common Division

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

Greatest Common Factor of 915,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,874 By Matching Biggest Common Factor Method

Now, list down the factors of 915

:

1,3,5,15,61,183,305,915

Now, list down the factors of 874

:

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 915,874 . The biggest common factor number is the GCF number.
So the greatest common factor 915,874 is 1.

Lets's calculate LCM of 898,728

Lowest Common Multiple of 898,728 using Common Division

2 898, 728
449, 364

∴ So the LCM of the given numbers is 2 x 449 x 364 = 326872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326872

Therefore, the GCF of Fractions 915/898,874/728 is 1/326872

Least Common Multiple of 898,728 with GCF Formula

Least Common Multiple of 898,728 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 898,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,728) = 2

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

GCF(898,728) x common factors =2 x 1 = 2

LCM(898,728) = ( 898 × 728 ) / 2

LCM(898,728) = 653744 / 2

LCM(898,728) = 326872


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FAQs on GCF of Fractions of 915/898, 874/728

1. What is the HCF of 915,874?

The HCF of 915,874 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 915/898, 874/728?

Answer: GCF of Numerators as per given numbers 915/898, 874/728 is

GCF of Numerators i.e. for 915,874 is 1

LCM of denominators i.e. for 898,728 is 326872.

Thus, GCF of Fractions is 1/326872.Finally, GCF of Fractions for 915/898, 874/728 is 1/326872.