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GCF of 936/796, 862/927

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 936/796, 862/927 i.e 2/737892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 936/796, 862/927.

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 936/796,862/927?

Given fractions are 936/796,862/927

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 936/796,862/927, numerators are 936,862

Denominators are 796,927

The GCF of 936,862 is 2 .

LCM of 796,927 is 737892.

The greatest common factor of 936/796,862/927 = [GCF of 936,862]/[LCM of 796,927]= 2/737892

Therefore, the GCF of 936/796,862/927 is 2/737892.

Greatest Common Factor of 936,862

To find the highest common factor of 936,862, we have to find the factors of both numbers and list the highest common factor.

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

The factors of 862 are 1, 2, 431, 862

The HCF of 936,862 is 2.

Lets's calculate GCF of 936,862

Greatest Common Factor (GCF) of 936,862 By Common Division

2 936, 862
468, 431

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

Greatest Common Factor of 936,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,862 By Matching Biggest Common Factor Method

Now, list down the factors of 936

:

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Now, list down the factors of 862

:

1,2,431,862

Greatest Common Factor

We found the factors 936,862 . The biggest common factor number is the GCF number.
So the greatest common factor 936,862 is 2.


Lets's calculate LCM of 796,927

Lowest Common Multiple of 796,927 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 737892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/737892

Therefore, the GCF of Fractions 936/796,862/927 is 2/737892

Least Common Multiple of 796,927 with GCF Formula

Least Common Multiple of 796,927 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 796,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,927) = 1

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

GCF(796,927) x common factors =1 x 1 = 1

LCM(796,927) = ( 796 × 927 ) / 1

LCM(796,927) = 737892 / 1

LCM(796,927) = 737892


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 936/796, 862/927

1. What is the HCF of 936,862?

The HCF of 936,862 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 936/796, 862/927?

Answer: GCF of Numerators as per given numbers 936/796, 862/927 is

GCF of Numerators i.e. for 936,862 is 2

LCM of denominators i.e. for 796,927 is 737892.

Thus, GCF of Fractions is 2/737892.Finally, GCF of Fractions for 936/796, 862/927 is 2/737892.