LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 468/92, 463/194

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 468/92, 463/194 i.e 1/8924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/92, 463/194.

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 468/92,463/194?

Given fractions are 468/92,463/194

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 468/92,463/194, numerators are 468,463

Denominators are 92,194

The GCF of 468,463 is 1 .

LCM of 92,194 is 8924.

The greatest common factor of 468/92,463/194 = [GCF of 468,463]/[LCM of 92,194]= 1/8924

Therefore, the GCF of 468/92,463/194 is 1/8924.

Greatest Common Factor of 468,463

To find the highest common factor of 468,463, we have to find the factors of both numbers and list the highest common factor.

The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

The factors of 463 are 1, 463

The HCF of 468,463 is 1.

Lets's calculate GCF of 468,463

Greatest Common Factor (GCF) of 468,463 By Common Division

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

Greatest Common Factor of 468,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,463 By Matching Biggest Common Factor Method

Now, list down the factors of 468

:

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Now, list down the factors of 463

:

1,463

Greatest Common Factor

We found the factors 468,463 . The biggest common factor number is the GCF number.
So the greatest common factor 468,463 is 1.

Lets's calculate LCM of 92,194

Lowest Common Multiple of 92,194 using Common Division

2 92, 194
46, 97

∴ So the LCM of the given numbers is 2 x 46 x 97 = 8924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8924

Therefore, the GCF of Fractions 468/92,463/194 is 1/8924

Least Common Multiple of 92,194 with GCF Formula

Least Common Multiple of 92,194 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 92,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,194) = 2

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

GCF(92,194) x common factors =2 x 1 = 2

LCM(92,194) = ( 92 × 194 ) / 2

LCM(92,194) = 17848 / 2

LCM(92,194) = 8924


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 468/92, 463/194

1. What is the HCF of 468,463?

The HCF of 468,463 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 468/92, 463/194?

Answer: GCF of Numerators as per given numbers 468/92, 463/194 is

GCF of Numerators i.e. for 468,463 is 1

LCM of denominators i.e. for 92,194 is 8924.

Thus, GCF of Fractions is 1/8924.Finally, GCF of Fractions for 468/92, 463/194 is 1/8924.