GCF of 2370/972, 9087/9218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2370/972, 9087/9218 i.e 3/4479948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2370/972, 9087/9218.
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 2370/972,9087/9218?
Given fractions are 2370/972,9087/9218
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 2370/972,9087/9218, numerators are 2370,9087
Denominators are 972,9218
The GCF of 2370,9087 is 3 .
LCM of 972,9218 is 4479948.
The greatest common factor of 2370/972,9087/9218 = [GCF of 2370,9087]/[LCM of 972,9218]= 3/4479948
Therefore, the GCF of 2370/972,9087/9218 is 3/4479948.
To find the highest common factor of 2370,9087, we have to find the factors of both numbers and list the highest common factor.
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The factors of 9087 are 1, 3, 13, 39, 233, 699, 3029, 9087
The HCF of 2370,9087 is 3.
Lets's calculate GCF of 2370,9087
| 3 | 2370, 9087 |
| 790, 3029 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2370,9087 By Matching Biggest Common Factor Method
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Now, list down the factors of 9087
:1,3,13,39,233,699,3029,9087
Greatest Common Factor
We found the factors 2370,9087 . The biggest common factor number is the GCF number.
So the greatest common factor 2370,9087 is 3.
Lets's calculate LCM of 972,9218
| 2 | 972, 9218 |
| 486, 4609 |
∴ So the LCM of the given numbers is 2 x 486 x 4609 = 4479948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4479948
Therefore, the GCF of Fractions 2370/972,9087/9218 is 3/4479948
Least Common Multiple of 972,9218 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 972,9218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,9218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(972,9218) x common factors =2 x 1 = 2
LCM(972,9218) = ( 972 × 9218 ) / 2
LCM(972,9218) = 8959896 / 2
LCM(972,9218) = 4479948
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FAQs on GCF of Fractions of 2370/972, 9087/9218
1. What is the HCF of 2370,9087?
The HCF of 2370,9087 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 2370/972, 9087/9218?
Answer: GCF of Numerators as per given numbers 2370/972, 9087/9218 is
GCF of Numerators i.e. for 2370,9087 is 3
LCM of denominators i.e. for 972,9218 is 4479948.
Thus, GCF of Fractions is 3/4479948.Finally, GCF of Fractions for 2370/972, 9087/9218 is 3/4479948.