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GCF of 123/90, 365/928

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 123/90, 365/928 i.e 1/41760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 123/90, 365/928.

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 123/90,365/928?

Given fractions are 123/90,365/928

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 123/90,365/928, numerators are 123,365

Denominators are 90,928

The GCF of 123,365 is 1 .

LCM of 90,928 is 41760.

The greatest common factor of 123/90,365/928 = [GCF of 123,365]/[LCM of 90,928]= 1/41760

Therefore, the GCF of 123/90,365/928 is 1/41760.

Greatest Common Factor of 123,365

To find the highest common factor of 123,365, we have to find the factors of both numbers and list the highest common factor.

The factors of 123 are 1, 3, 41, 123

The factors of 365 are 1, 5, 73, 365

The HCF of 123,365 is 1.

Lets's calculate GCF of 123,365

Greatest Common Factor (GCF) of 123,365 By Common Division

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

Greatest Common Factor of 123,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,365 By Matching Biggest Common Factor Method

Now, list down the factors of 123

:

1,3,41,123

Now, list down the factors of 365

:

1,5,73,365

Greatest Common Factor

We found the factors 123,365 . The biggest common factor number is the GCF number.
So the greatest common factor 123,365 is 1.

Lets's calculate LCM of 90,928

Lowest Common Multiple of 90,928 using Common Division

2 90, 928
45, 464

∴ So the LCM of the given numbers is 2 x 45 x 464 = 41760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41760

Therefore, the GCF of Fractions 123/90,365/928 is 1/41760

Least Common Multiple of 90,928 with GCF Formula

Least Common Multiple of 90,928 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 90,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,928) = 2

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

GCF(90,928) x common factors =2 x 1 = 2

LCM(90,928) = ( 90 × 928 ) / 2

LCM(90,928) = 83520 / 2

LCM(90,928) = 41760


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FAQs on GCF of Fractions of 123/90, 365/928

1. What is the HCF of 123,365?

The HCF of 123,365 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 123/90, 365/928?

Answer: GCF of Numerators as per given numbers 123/90, 365/928 is

GCF of Numerators i.e. for 123,365 is 1

LCM of denominators i.e. for 90,928 is 41760.

Thus, GCF of Fractions is 1/41760.Finally, GCF of Fractions for 123/90, 365/928 is 1/41760.