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 836/74, 958/789

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 836/74, 958/789 i.e 2/58386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/74, 958/789.

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 836/74,958/789?

Given fractions are 836/74,958/789

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 836/74,958/789, numerators are 836,958

Denominators are 74,789

The GCF of 836,958 is 2 .

LCM of 74,789 is 58386.

The greatest common factor of 836/74,958/789 = [GCF of 836,958]/[LCM of 74,789]= 2/58386

Therefore, the GCF of 836/74,958/789 is 2/58386.

Greatest Common Factor of 836,958

To find the highest common factor of 836,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The factors of 958 are 1, 2, 479, 958

The HCF of 836,958 is 2.

Lets's calculate GCF of 836,958

Greatest Common Factor (GCF) of 836,958 By Common Division

2 836, 958
418, 479

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 836,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,958 By Matching Biggest Common Factor Method

Now, list down the factors of 836

:

1,2,4,11,19,22,38,44,76,209,418,836

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 836,958 . The biggest common factor number is the GCF number.
So the greatest common factor 836,958 is 2.

Lets's calculate LCM of 74,789

Lowest Common Multiple of 74,789 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 58386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58386

Therefore, the GCF of Fractions 836/74,958/789 is 2/58386

Least Common Multiple of 74,789 with GCF Formula

Least Common Multiple of 74,789 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 74,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,789) = 1

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

GCF(74,789) x common factors =1 x 1 = 1

LCM(74,789) = ( 74 × 789 ) / 1

LCM(74,789) = 58386 / 1

LCM(74,789) = 58386


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 836/74, 958/789

1. What is the HCF of 836,958?

The HCF of 836,958 is 2

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 836/74, 958/789?

Answer: GCF of Numerators as per given numbers 836/74, 958/789 is

GCF of Numerators i.e. for 836,958 is 2

LCM of denominators i.e. for 74,789 is 58386.

Thus, GCF of Fractions is 2/58386.Finally, GCF of Fractions for 836/74, 958/789 is 2/58386.