GCF of 9921/798, 2820/1525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9921/798, 2820/1525 i.e 3/1216950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9921/798, 2820/1525.
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 9921/798,2820/1525?
Given fractions are 9921/798,2820/1525
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 9921/798,2820/1525, numerators are 9921,2820
Denominators are 798,1525
The GCF of 9921,2820 is 3 .
LCM of 798,1525 is 1216950.
The greatest common factor of 9921/798,2820/1525 = [GCF of 9921,2820]/[LCM of 798,1525]= 3/1216950
Therefore, the GCF of 9921/798,2820/1525 is 3/1216950.
To find the highest common factor of 9921,2820, we have to find the factors of both numbers and list the highest common factor.
The factors of 9921 are 1, 3, 3307, 9921
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The HCF of 9921,2820 is 3.
Lets's calculate GCF of 9921,2820
| 3 | 9921, 2820 |
| 3307, 940 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9921,2820 By Matching Biggest Common Factor Method
Now, list down the factors of 9921
:1,3,3307,9921
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Greatest Common Factor
We found the factors 9921,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 9921,2820 is 3.
Lets's calculate LCM of 798,1525
Given numbers has no common factors except 1. So, there LCM is their product i.e 1216950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1216950
Therefore, the GCF of Fractions 9921/798,2820/1525 is 3/1216950
Least Common Multiple of 798,1525 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 798,1525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,1525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,1525) x common factors =1 x 1 = 1
LCM(798,1525) = ( 798 × 1525 ) / 1
LCM(798,1525) = 1216950 / 1
LCM(798,1525) = 1216950
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9921/798, 2820/1525
1. What is the HCF of 9921,2820?
The HCF of 9921,2820 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 9921/798, 2820/1525?
Answer: GCF of Numerators as per given numbers 9921/798, 2820/1525 is
GCF of Numerators i.e. for 9921,2820 is 3
LCM of denominators i.e. for 798,1525 is 1216950.
Thus, GCF of Fractions is 3/1216950.Finally, GCF of Fractions for 9921/798, 2820/1525 is 3/1216950.