GCF of 9870/603, 2990/1204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9870/603, 2990/1204 i.e 10/726012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9870/603, 2990/1204.
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 9870/603,2990/1204?
Given fractions are 9870/603,2990/1204
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 9870/603,2990/1204, numerators are 9870,2990
Denominators are 603,1204
The GCF of 9870,2990 is 10 .
LCM of 603,1204 is 726012.
The greatest common factor of 9870/603,2990/1204 = [GCF of 9870,2990]/[LCM of 603,1204]= 10/726012
Therefore, the GCF of 9870/603,2990/1204 is 10/726012.
To find the highest common factor of 9870,2990, we have to find the factors of both numbers and list the highest common factor.
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The factors of 2990 are 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990
The HCF of 9870,2990 is 10.
Lets's calculate GCF of 9870,2990
| 2 | 9870, 2990 |
| 5 | 4935, 1495 |
| 987, 299 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9870,2990 By Matching Biggest Common Factor Method
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Now, list down the factors of 2990
:1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990
Greatest Common Factor
We found the factors 9870,2990 . The biggest common factor number is the GCF number.
So the greatest common factor 9870,2990 is 10.
Lets's calculate LCM of 603,1204
Given numbers has no common factors except 1. So, there LCM is their product i.e 726012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/726012
Therefore, the GCF of Fractions 9870/603,2990/1204 is 10/726012
Least Common Multiple of 603,1204 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 603,1204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,1204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,1204) x common factors =1 x 1 = 1
LCM(603,1204) = ( 603 × 1204 ) / 1
LCM(603,1204) = 726012 / 1
LCM(603,1204) = 726012
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FAQs on GCF of Fractions of 9870/603, 2990/1204
1. What is the HCF of 9870,2990?
The HCF of 9870,2990 is 10
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 9870/603, 2990/1204?
Answer: GCF of Numerators as per given numbers 9870/603, 2990/1204 is
GCF of Numerators i.e. for 9870,2990 is 10
LCM of denominators i.e. for 603,1204 is 726012.
Thus, GCF of Fractions is 10/726012.Finally, GCF of Fractions for 9870/603, 2990/1204 is 10/726012.