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 954/844, 409/798

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 954/844, 409/798 i.e 1/336756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/844, 409/798.

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 954/844,409/798?

Given fractions are 954/844,409/798

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 954/844,409/798, numerators are 954,409

Denominators are 844,798

The GCF of 954,409 is 1 .

LCM of 844,798 is 336756.

The greatest common factor of 954/844,409/798 = [GCF of 954,409]/[LCM of 844,798]= 1/336756

Therefore, the GCF of 954/844,409/798 is 1/336756.

Greatest Common Factor of 954,409

To find the highest common factor of 954,409, we have to find the factors of both numbers and list the highest common factor.

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The factors of 409 are 1, 409

The HCF of 954,409 is 1.

Lets's calculate GCF of 954,409

Greatest Common Factor (GCF) of 954,409 By Common Division

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

Greatest Common Factor of 954,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,409 By Matching Biggest Common Factor Method

Now, list down the factors of 954

:

1,2,3,6,9,18,53,106,159,318,477,954

Now, list down the factors of 409

:

1,409

Greatest Common Factor

We found the factors 954,409 . The biggest common factor number is the GCF number.
So the greatest common factor 954,409 is 1.

Lets's calculate LCM of 844,798

Lowest Common Multiple of 844,798 using Common Division

2 844, 798
422, 399

∴ So the LCM of the given numbers is 2 x 422 x 399 = 336756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336756

Therefore, the GCF of Fractions 954/844,409/798 is 1/336756

Least Common Multiple of 844,798 with GCF Formula

Least Common Multiple of 844,798 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 844,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,798) = 2

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

GCF(844,798) x common factors =2 x 1 = 2

LCM(844,798) = ( 844 × 798 ) / 2

LCM(844,798) = 673512 / 2

LCM(844,798) = 336756


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 954/844, 409/798

1. What is the HCF of 954,409?

The HCF of 954,409 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 954/844, 409/798?

Answer: GCF of Numerators as per given numbers 954/844, 409/798 is

GCF of Numerators i.e. for 954,409 is 1

LCM of denominators i.e. for 844,798 is 336756.

Thus, GCF of Fractions is 1/336756.Finally, GCF of Fractions for 954/844, 409/798 is 1/336756.