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GCF of 7922/311, 8232/8842

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 7922/311, 8232/8842 i.e 2/2749862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7922/311, 8232/8842.

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 7922/311,8232/8842?

Given fractions are 7922/311,8232/8842

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 7922/311,8232/8842, numerators are 7922,8232

Denominators are 311,8842

The GCF of 7922,8232 is 2 .

LCM of 311,8842 is 2749862.

The greatest common factor of 7922/311,8232/8842 = [GCF of 7922,8232]/[LCM of 311,8842]= 2/2749862

Therefore, the GCF of 7922/311,8232/8842 is 2/2749862.

Greatest Common Factor of 7922,8232

To find the highest common factor of 7922,8232, we have to find the factors of both numbers and list the highest common factor.

The factors of 7922 are 1, 2, 17, 34, 233, 466, 3961, 7922

The factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232

The HCF of 7922,8232 is 2.

Lets's calculate GCF of 7922,8232

Greatest Common Factor (GCF) of 7922,8232 By Common Division

2 7922, 8232
3961, 4116

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

Greatest Common Factor of 7922,8232 By Matching Biggest Common Factor Method

Greatest Common Factor of 7922,8232 By Matching Biggest Common Factor Method

Now, list down the factors of 7922

:

1,2,17,34,233,466,3961,7922

Now, list down the factors of 8232

:

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232

Greatest Common Factor

We found the factors 7922,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 7922,8232 is 2.


Lets's calculate LCM of 311,8842

Lowest Common Multiple of 311,8842 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2749862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2749862

Therefore, the GCF of Fractions 7922/311,8232/8842 is 2/2749862

Least Common Multiple of 311,8842 with GCF Formula

Least Common Multiple of 311,8842 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 311,8842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,8842) = 1

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

GCF(311,8842) x common factors =1 x 1 = 1

LCM(311,8842) = ( 311 × 8842 ) / 1

LCM(311,8842) = 2749862 / 1

LCM(311,8842) = 2749862


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7922/311, 8232/8842

1. What is the HCF of 7922,8232?

The HCF of 7922,8232 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 7922/311, 8232/8842?

Answer: GCF of Numerators as per given numbers 7922/311, 8232/8842 is

GCF of Numerators i.e. for 7922,8232 is 2

LCM of denominators i.e. for 311,8842 is 2749862.

Thus, GCF of Fractions is 2/2749862.Finally, GCF of Fractions for 7922/311, 8232/8842 is 2/2749862.