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GCF of 322/31, 356/922

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 322/31, 356/922 i.e 2/28582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 322/31, 356/922.

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 322/31,356/922?

Given fractions are 322/31,356/922

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 322/31,356/922, numerators are 322,356

Denominators are 31,922

The GCF of 322,356 is 2 .

LCM of 31,922 is 28582.

The greatest common factor of 322/31,356/922 = [GCF of 322,356]/[LCM of 31,922]= 2/28582

Therefore, the GCF of 322/31,356/922 is 2/28582.

Greatest Common Factor of 322,356

To find the highest common factor of 322,356, we have to find the factors of both numbers and list the highest common factor.

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322

The factors of 356 are 1, 2, 4, 89, 178, 356

The HCF of 322,356 is 2.

Lets's calculate GCF of 322,356

Greatest Common Factor (GCF) of 322,356 By Common Division

2 322, 356
161, 178

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

Greatest Common Factor of 322,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,356 By Matching Biggest Common Factor Method

Now, list down the factors of 322

:

1,2,7,14,23,46,161,322

Now, list down the factors of 356

:

1,2,4,89,178,356

Greatest Common Factor

We found the factors 322,356 . The biggest common factor number is the GCF number.
So the greatest common factor 322,356 is 2.

Lets's calculate LCM of 31,922

Lowest Common Multiple of 31,922 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 28582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28582

Therefore, the GCF of Fractions 322/31,356/922 is 2/28582

Least Common Multiple of 31,922 with GCF Formula

Least Common Multiple of 31,922 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 31,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,922) = 1

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

GCF(31,922) x common factors =1 x 1 = 1

LCM(31,922) = ( 31 × 922 ) / 1

LCM(31,922) = 28582 / 1

LCM(31,922) = 28582


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FAQs on GCF of Fractions of 322/31, 356/922

1. What is the HCF of 322,356?

The HCF of 322,356 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 322/31, 356/922?

Answer: GCF of Numerators as per given numbers 322/31, 356/922 is

GCF of Numerators i.e. for 322,356 is 2

LCM of denominators i.e. for 31,922 is 28582.

Thus, GCF of Fractions is 2/28582.Finally, GCF of Fractions for 322/31, 356/922 is 2/28582.