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GCF of 450/92, 298/919

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 450/92, 298/919 i.e 2/84548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 450/92, 298/919.

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 450/92,298/919?

Given fractions are 450/92,298/919

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 450/92,298/919, numerators are 450,298

Denominators are 92,919

The GCF of 450,298 is 2 .

LCM of 92,919 is 84548.

The greatest common factor of 450/92,298/919 = [GCF of 450,298]/[LCM of 92,919]= 2/84548

Therefore, the GCF of 450/92,298/919 is 2/84548.

Greatest Common Factor of 450,298

To find the highest common factor of 450,298, we have to find the factors of both numbers and list the highest common factor.

The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

The factors of 298 are 1, 2, 149, 298

The HCF of 450,298 is 2.

Lets's calculate GCF of 450,298

Greatest Common Factor (GCF) of 450,298 By Common Division

2 450, 298
225, 149

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

Greatest Common Factor of 450,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,298 By Matching Biggest Common Factor Method

Now, list down the factors of 450

:

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Now, list down the factors of 298

:

1,2,149,298

Greatest Common Factor

We found the factors 450,298 . The biggest common factor number is the GCF number.
So the greatest common factor 450,298 is 2.

Lets's calculate LCM of 92,919

Lowest Common Multiple of 92,919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 84548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84548

Therefore, the GCF of Fractions 450/92,298/919 is 2/84548

Least Common Multiple of 92,919 with GCF Formula

Least Common Multiple of 92,919 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 92,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,919) = 1

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

GCF(92,919) x common factors =1 x 1 = 1

LCM(92,919) = ( 92 × 919 ) / 1

LCM(92,919) = 84548 / 1

LCM(92,919) = 84548


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 450/92, 298/919

1. What is the HCF of 450,298?

The HCF of 450,298 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 450/92, 298/919?

Answer: GCF of Numerators as per given numbers 450/92, 298/919 is

GCF of Numerators i.e. for 450,298 is 2

LCM of denominators i.e. for 92,919 is 84548.

Thus, GCF of Fractions is 2/84548.Finally, GCF of Fractions for 450/92, 298/919 is 2/84548.