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GCF of 894/185, 100/721

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 894/185, 100/721 i.e 2/133385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 894/185, 100/721.

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 894/185,100/721?

Given fractions are 894/185,100/721

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 894/185,100/721, numerators are 894,100

Denominators are 185,721

The GCF of 894,100 is 2 .

LCM of 185,721 is 133385.

The greatest common factor of 894/185,100/721 = [GCF of 894,100]/[LCM of 185,721]= 2/133385

Therefore, the GCF of 894/185,100/721 is 2/133385.

Greatest Common Factor of 894,100

To find the highest common factor of 894,100, we have to find the factors of both numbers and list the highest common factor.

The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 894,100 is 2.

Lets's calculate GCF of 894,100

Greatest Common Factor (GCF) of 894,100 By Common Division

2 894, 100
447, 50

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

Greatest Common Factor of 894,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,100 By Matching Biggest Common Factor Method

Now, list down the factors of 894

:

1,2,3,6,149,298,447,894

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 894,100 . The biggest common factor number is the GCF number.
So the greatest common factor 894,100 is 2.

Lets's calculate LCM of 185,721

Lowest Common Multiple of 185,721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 133385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133385

Therefore, the GCF of Fractions 894/185,100/721 is 2/133385

Least Common Multiple of 185,721 with GCF Formula

Least Common Multiple of 185,721 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 185,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,721) = 1

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

GCF(185,721) x common factors =1 x 1 = 1

LCM(185,721) = ( 185 × 721 ) / 1

LCM(185,721) = 133385 / 1

LCM(185,721) = 133385


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 894/185, 100/721

1. What is the HCF of 894,100?

The HCF of 894,100 is 2

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 894/185, 100/721?

Answer: GCF of Numerators as per given numbers 894/185, 100/721 is

GCF of Numerators i.e. for 894,100 is 2

LCM of denominators i.e. for 185,721 is 133385.

Thus, GCF of Fractions is 2/133385.Finally, GCF of Fractions for 894/185, 100/721 is 2/133385.