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 92/636, 2319/9404

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 92/636, 2319/9404 i.e 1/1495236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/636, 2319/9404.

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 92/636,2319/9404?

Given fractions are 92/636,2319/9404

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 92/636,2319/9404, numerators are 92,2319

Denominators are 636,9404

The GCF of 92,2319 is 1 .

LCM of 636,9404 is 1495236.

The greatest common factor of 92/636,2319/9404 = [GCF of 92,2319]/[LCM of 636,9404]= 1/1495236

Therefore, the GCF of 92/636,2319/9404 is 1/1495236.

Greatest Common Factor of 92,2319

To find the highest common factor of 92,2319, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 2319 are 1, 3, 773, 2319

The HCF of 92,2319 is 1.

Lets's calculate GCF of 92,2319

Greatest Common Factor (GCF) of 92,2319 By Common Division

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

Greatest Common Factor of 92,2319 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,2319 By Matching Biggest Common Factor Method

Now, list down the factors of 92

:

1,2,4,23,46,92

Now, list down the factors of 2319

:

1,3,773,2319

Greatest Common Factor

We found the factors 92,2319 . The biggest common factor number is the GCF number.
So the greatest common factor 92,2319 is 1.

Lets's calculate LCM of 636,9404

Lowest Common Multiple of 636,9404 using Common Division

2 636, 9404
2 318, 4702
159, 2351

∴ So the LCM of the given numbers is 2 x 2 x 159 x 2351 = 1495236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1495236

Therefore, the GCF of Fractions 92/636,2319/9404 is 1/1495236

Least Common Multiple of 636,9404 with GCF Formula

Least Common Multiple of 636,9404 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 636,9404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,9404) = 4

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

GCF(636,9404) x common factors =4 x 1 = 4

LCM(636,9404) = ( 636 × 9404 ) / 4

LCM(636,9404) = 5980944 / 4

LCM(636,9404) = 1495236


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 92/636, 2319/9404

1. What is the HCF of 92,2319?

The HCF of 92,2319 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 92/636, 2319/9404?

Answer: GCF of Numerators as per given numbers 92/636, 2319/9404 is

GCF of Numerators i.e. for 92,2319 is 1

LCM of denominators i.e. for 636,9404 is 1495236.

Thus, GCF of Fractions is 1/1495236.Finally, GCF of Fractions for 92/636, 2319/9404 is 1/1495236.