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GCF of 161/899, 404/550

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 161/899, 404/550 i.e 1/494450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/899, 404/550.

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 161/899,404/550?

Given fractions are 161/899,404/550

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 161/899,404/550, numerators are 161,404

Denominators are 899,550

The GCF of 161,404 is 1 .

LCM of 899,550 is 494450.

The greatest common factor of 161/899,404/550 = [GCF of 161,404]/[LCM of 899,550]= 1/494450

Therefore, the GCF of 161/899,404/550 is 1/494450.

Greatest Common Factor of 161,404

To find the highest common factor of 161,404, we have to find the factors of both numbers and list the highest common factor.

The factors of 161 are 1, 7, 23, 161

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 161,404 is 1.

Lets's calculate GCF of 161,404

Greatest Common Factor (GCF) of 161,404 By Common Division

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

Greatest Common Factor of 161,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,404 By Matching Biggest Common Factor Method

Now, list down the factors of 161

:

1,7,23,161

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 161,404 . The biggest common factor number is the GCF number.
So the greatest common factor 161,404 is 1.

Lets's calculate LCM of 899,550

Lowest Common Multiple of 899,550 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 494450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494450

Therefore, the GCF of Fractions 161/899,404/550 is 1/494450

Least Common Multiple of 899,550 with GCF Formula

Least Common Multiple of 899,550 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 899,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,550) = 1

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

GCF(899,550) x common factors =1 x 1 = 1

LCM(899,550) = ( 899 × 550 ) / 1

LCM(899,550) = 494450 / 1

LCM(899,550) = 494450


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FAQs on GCF of Fractions of 161/899, 404/550

1. What is the HCF of 161,404?

The HCF of 161,404 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 161/899, 404/550?

Answer: GCF of Numerators as per given numbers 161/899, 404/550 is

GCF of Numerators i.e. for 161,404 is 1

LCM of denominators i.e. for 899,550 is 494450.

Thus, GCF of Fractions is 1/494450.Finally, GCF of Fractions for 161/899, 404/550 is 1/494450.