GCF of 21/97, 639/82, 369/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 21/97, 639/82, 369/597 i.e 3/4748538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/97, 639/82, 369/597.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 21/97,639/82,369/597?
Given fractions are 21/97,639/82,369/597
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 21/97,639/82,369/597, numerators are 21,639,369
Denominators are 97,82,597
The GCF of 21,639,369 is 3 .
LCM of 97,82,597 is 4748538.
The greatest common factor of 21/97,639/82,369/597 = [GCF of 21,639,369]/[LCM of 97,82,597]= 3/4748538
Therefore, the GCF of 21/97,639/82,369/597 is 3/4748538.
To find the highest common factor of 21,639,369, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 639 are 1, 3, 9, 71, 213, 639
The factors of 369 are 1, 3, 9, 41, 123, 369
The HCF of 21,639,369 is 3.
Lets's calculate GCF of 21,639,369
| 3 | 21, 639, 369 |
| 7, 213, 123 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 21,639,369 By Matching Biggest Common Factor Method
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 639
:1,3,9,71,213,639
Now, list down the factors of 369
:1,3,9,41,123,369
Greatest Common Factor
We found the factors 21,639,369 . The biggest common factor number is the GCF number.
So the greatest common factor 21,639,369 is 3.
Lets's calculate LCM of 97,82,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 4748538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4748538
Therefore, the GCF of Fractions 21/97,639/82,369/597 is 3/4748538
Least Common Multiple of 97,82,597 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 97,82,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,82,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,82,597) x common factors =1 x 1 = 1
LCM(97,82,597) = ( 97 × 82 × 597 ) / 1
LCM(97,82,597) = 4748538 / 1
LCM(97,82,597) = 4748538
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 21/97, 639/82, 369/597
1. What is the HCF of 21,639,369?
The HCF of 21,639,369 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 21/97, 639/82, 369/597?
Answer: GCF of Numerators as per given numbers 21/97, 639/82, 369/597 is
GCF of Numerators i.e. for 21,639,369 is 3
LCM of denominators i.e. for 97,82,597 is 4748538.
Thus, GCF of Fractions is 3/4748538.Finally, GCF of Fractions for 21/97, 639/82, 369/597 is 3/4748538.