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 958/24, 834/860

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 958/24, 834/860 i.e 2/5160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/24, 834/860.

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 958/24,834/860?

Given fractions are 958/24,834/860

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 958/24,834/860, numerators are 958,834

Denominators are 24,860

The GCF of 958,834 is 2 .

LCM of 24,860 is 5160.

The greatest common factor of 958/24,834/860 = [GCF of 958,834]/[LCM of 24,860]= 2/5160

Therefore, the GCF of 958/24,834/860 is 2/5160.

Greatest Common Factor of 958,834

To find the highest common factor of 958,834, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834

The HCF of 958,834 is 2.

Lets's calculate GCF of 958,834

Greatest Common Factor (GCF) of 958,834 By Common Division

2 958, 834
479, 417

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

Greatest Common Factor of 958,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,834 By Matching Biggest Common Factor Method

Now, list down the factors of 958

:

1,2,479,958

Now, list down the factors of 834

:

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 958,834 . The biggest common factor number is the GCF number.
So the greatest common factor 958,834 is 2.


Lets's calculate LCM of 24,860

Lowest Common Multiple of 24,860 using Common Division

2 24, 860
2 12, 430
6, 215

∴ So the LCM of the given numbers is 2 x 2 x 6 x 215 = 5160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5160

Therefore, the GCF of Fractions 958/24,834/860 is 2/5160

Least Common Multiple of 24,860 with GCF Formula

Least Common Multiple of 24,860 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 24,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,860) = 4

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

GCF(24,860) x common factors =4 x 1 = 4

LCM(24,860) = ( 24 × 860 ) / 4

LCM(24,860) = 20640 / 4

LCM(24,860) = 5160


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 958/24, 834/860

1. What is the HCF of 958,834?

The HCF of 958,834 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 958/24, 834/860?

Answer: GCF of Numerators as per given numbers 958/24, 834/860 is

GCF of Numerators i.e. for 958,834 is 2

LCM of denominators i.e. for 24,860 is 5160.

Thus, GCF of Fractions is 2/5160.Finally, GCF of Fractions for 958/24, 834/860 is 2/5160.