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GCF of 161/28, 471/912

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 161/28, 471/912 i.e 1/6384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/28, 471/912.

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 161/28,471/912?

Given fractions are 161/28,471/912

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 161/28,471/912, numerators are 161,471

Denominators are 28,912

The GCF of 161,471 is 1 .

LCM of 28,912 is 6384.

The greatest common factor of 161/28,471/912 = [GCF of 161,471]/[LCM of 28,912]= 1/6384

Therefore, the GCF of 161/28,471/912 is 1/6384.

Greatest Common Factor of 161,471

To find the highest common factor of 161,471, 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 471 are 1, 3, 157, 471

The HCF of 161,471 is 1.

Lets's calculate GCF of 161,471

Greatest Common Factor (GCF) of 161,471 By Common Division

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

Greatest Common Factor of 161,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,471 By Matching Biggest Common Factor Method

Now, list down the factors of 161

:

1,7,23,161

Now, list down the factors of 471

:

1,3,157,471

Greatest Common Factor

We found the factors 161,471 . The biggest common factor number is the GCF number.
So the greatest common factor 161,471 is 1.

Lets's calculate LCM of 28,912

Lowest Common Multiple of 28,912 using Common Division

2 28, 912
2 14, 456
7, 228

∴ So the LCM of the given numbers is 2 x 2 x 7 x 228 = 6384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6384

Therefore, the GCF of Fractions 161/28,471/912 is 1/6384

Least Common Multiple of 28,912 with GCF Formula

Least Common Multiple of 28,912 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 28,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,912) = 4

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

GCF(28,912) x common factors =4 x 1 = 4

LCM(28,912) = ( 28 × 912 ) / 4

LCM(28,912) = 25536 / 4

LCM(28,912) = 6384


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FAQs on GCF of Fractions of 161/28, 471/912

1. What is the HCF of 161,471?

The HCF of 161,471 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 161/28, 471/912?

Answer: GCF of Numerators as per given numbers 161/28, 471/912 is

GCF of Numerators i.e. for 161,471 is 1

LCM of denominators i.e. for 28,912 is 6384.

Thus, GCF of Fractions is 1/6384.Finally, GCF of Fractions for 161/28, 471/912 is 1/6384.