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GCF of 161/79, 457/725

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 161/79, 457/725 i.e 1/57275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/79, 457/725.

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 161/79,457/725?

Given fractions are 161/79,457/725

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 161/79,457/725, numerators are 161,457

Denominators are 79,725

The GCF of 161,457 is 1 .

LCM of 79,725 is 57275.

The greatest common factor of 161/79,457/725 = [GCF of 161,457]/[LCM of 79,725]= 1/57275

Therefore, the GCF of 161/79,457/725 is 1/57275.

Greatest Common Factor of 161,457

To find the highest common factor of 161,457, 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 457 are 1, 457

The HCF of 161,457 is 1.

Lets's calculate GCF of 161,457

Greatest Common Factor (GCF) of 161,457 By Common Division

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

Greatest Common Factor of 161,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,457 By Matching Biggest Common Factor Method

Now, list down the factors of 161

:

1,7,23,161

Now, list down the factors of 457

:

1,457

Greatest Common Factor

We found the factors 161,457 . The biggest common factor number is the GCF number.
So the greatest common factor 161,457 is 1.


Lets's calculate LCM of 79,725

Lowest Common Multiple of 79,725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 57275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57275

Therefore, the GCF of Fractions 161/79,457/725 is 1/57275

Least Common Multiple of 79,725 with GCF Formula

Least Common Multiple of 79,725 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 79,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,725) = 1

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

GCF(79,725) x common factors =1 x 1 = 1

LCM(79,725) = ( 79 × 725 ) / 1

LCM(79,725) = 57275 / 1

LCM(79,725) = 57275


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 161/79, 457/725

1. What is the HCF of 161,457?

The HCF of 161,457 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 161/79, 457/725?

Answer: GCF of Numerators as per given numbers 161/79, 457/725 is

GCF of Numerators i.e. for 161,457 is 1

LCM of denominators i.e. for 79,725 is 57275.

Thus, GCF of Fractions is 1/57275.Finally, GCF of Fractions for 161/79, 457/725 is 1/57275.