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GCF of 935/831, 8195/924

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 935/831, 8195/924 i.e 55/255948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/831, 8195/924.

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 935/831,8195/924?

Given fractions are 935/831,8195/924

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 935/831,8195/924, numerators are 935,8195

Denominators are 831,924

The GCF of 935,8195 is 55 .

LCM of 831,924 is 255948.

The greatest common factor of 935/831,8195/924 = [GCF of 935,8195]/[LCM of 831,924]= 55/255948

Therefore, the GCF of 935/831,8195/924 is 55/255948.

Greatest Common Factor of 935,8195

To find the highest common factor of 935,8195, we have to find the factors of both numbers and list the highest common factor.

The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935

The factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195

The HCF of 935,8195 is 55.

Lets's calculate GCF of 935,8195

Greatest Common Factor (GCF) of 935,8195 By Common Division

5 935, 8195
11 187, 1639
17, 149

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 935,8195 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,8195 By Matching Biggest Common Factor Method

Now, list down the factors of 935

:

1,5,11,17,55,85,187,935

Now, list down the factors of 8195

:

1,5,11,55,149,745,1639,8195

Greatest Common Factor

We found the factors 935,8195 . The biggest common factor number is the GCF number.
So the greatest common factor 935,8195 is 55.


Lets's calculate LCM of 831,924

Lowest Common Multiple of 831,924 using Common Division

3 831, 924
277, 308

∴ So the LCM of the given numbers is 3 x 277 x 308 = 255948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/255948

Therefore, the GCF of Fractions 935/831,8195/924 is 55/255948

Least Common Multiple of 831,924 with GCF Formula

Least Common Multiple of 831,924 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 831,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,924) = 3

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

GCF(831,924) x common factors =3 x 1 = 3

LCM(831,924) = ( 831 × 924 ) / 3

LCM(831,924) = 767844 / 3

LCM(831,924) = 255948


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 935/831, 8195/924

1. What is the HCF of 935,8195?

The HCF of 935,8195 is 55

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 935/831, 8195/924?

Answer: GCF of Numerators as per given numbers 935/831, 8195/924 is

GCF of Numerators i.e. for 935,8195 is 55

LCM of denominators i.e. for 831,924 is 255948.

Thus, GCF of Fractions is 55/255948.Finally, GCF of Fractions for 935/831, 8195/924 is 55/255948.