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GCF of 483/33, 702/422

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 483/33, 702/422 i.e 3/13926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/33, 702/422.

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 483/33,702/422?

Given fractions are 483/33,702/422

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 483/33,702/422, numerators are 483,702

Denominators are 33,422

The GCF of 483,702 is 3 .

LCM of 33,422 is 13926.

The greatest common factor of 483/33,702/422 = [GCF of 483,702]/[LCM of 33,422]= 3/13926

Therefore, the GCF of 483/33,702/422 is 3/13926.

Greatest Common Factor of 483,702

To find the highest common factor of 483,702, we have to find the factors of both numbers and list the highest common factor.

The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The HCF of 483,702 is 3.

Lets's calculate GCF of 483,702

Greatest Common Factor (GCF) of 483,702 By Common Division

3 483, 702
161, 234

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 483,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,702 By Matching Biggest Common Factor Method

Now, list down the factors of 483

:

1,3,7,21,23,69,161,483

Now, list down the factors of 702

:

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 483,702 . The biggest common factor number is the GCF number.
So the greatest common factor 483,702 is 3.


Lets's calculate LCM of 33,422

Lowest Common Multiple of 33,422 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13926

Therefore, the GCF of Fractions 483/33,702/422 is 3/13926

Least Common Multiple of 33,422 with GCF Formula

Least Common Multiple of 33,422 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 33,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,422) = 1

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

GCF(33,422) x common factors =1 x 1 = 1

LCM(33,422) = ( 33 × 422 ) / 1

LCM(33,422) = 13926 / 1

LCM(33,422) = 13926


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 483/33, 702/422

1. What is the HCF of 483,702?

The HCF of 483,702 is 3

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 483/33, 702/422?

Answer: GCF of Numerators as per given numbers 483/33, 702/422 is

GCF of Numerators i.e. for 483,702 is 3

LCM of denominators i.e. for 33,422 is 13926.

Thus, GCF of Fractions is 3/13926.Finally, GCF of Fractions for 483/33, 702/422 is 3/13926.