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GCF of 963/30, 211/821

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 963/30, 211/821 i.e 1/24630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/30, 211/821.

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 963/30,211/821?

Given fractions are 963/30,211/821

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 963/30,211/821, numerators are 963,211

Denominators are 30,821

The GCF of 963,211 is 1 .

LCM of 30,821 is 24630.

The greatest common factor of 963/30,211/821 = [GCF of 963,211]/[LCM of 30,821]= 1/24630

Therefore, the GCF of 963/30,211/821 is 1/24630.

Greatest Common Factor of 963,211

To find the highest common factor of 963,211, we have to find the factors of both numbers and list the highest common factor.

The factors of 963 are 1, 3, 9, 107, 321, 963

The factors of 211 are 1, 211

The HCF of 963,211 is 1.

Lets's calculate GCF of 963,211

Greatest Common Factor (GCF) of 963,211 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 963,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,211 By Matching Biggest Common Factor Method

Now, list down the factors of 963

:

1,3,9,107,321,963

Now, list down the factors of 211

:

1,211

Greatest Common Factor

We found the factors 963,211 . The biggest common factor number is the GCF number.
So the greatest common factor 963,211 is 1.

Lets's calculate LCM of 30,821

Lowest Common Multiple of 30,821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24630

Therefore, the GCF of Fractions 963/30,211/821 is 1/24630

Least Common Multiple of 30,821 with GCF Formula

Least Common Multiple of 30,821 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 30,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,821) = 1

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

GCF(30,821) x common factors =1 x 1 = 1

LCM(30,821) = ( 30 × 821 ) / 1

LCM(30,821) = 24630 / 1

LCM(30,821) = 24630


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FAQs on GCF of Fractions of 963/30, 211/821

1. What is the HCF of 963,211?

The HCF of 963,211 is 1

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 963/30, 211/821?

Answer: GCF of Numerators as per given numbers 963/30, 211/821 is

GCF of Numerators i.e. for 963,211 is 1

LCM of denominators i.e. for 30,821 is 24630.

Thus, GCF of Fractions is 1/24630.Finally, GCF of Fractions for 963/30, 211/821 is 1/24630.