GCF of 2490/322, 9462/3970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2490/322, 9462/3970 i.e 498/639170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2490/322, 9462/3970.
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 2490/322,9462/3970?
Given fractions are 2490/322,9462/3970
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 2490/322,9462/3970, numerators are 2490,9462
Denominators are 322,3970
The GCF of 2490,9462 is 498 .
LCM of 322,3970 is 639170.
The greatest common factor of 2490/322,9462/3970 = [GCF of 2490,9462]/[LCM of 322,3970]= 498/639170
Therefore, the GCF of 2490/322,9462/3970 is 498/639170.
To find the highest common factor of 2490,9462, we have to find the factors of both numbers and list the highest common factor.
The factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490
The factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462
The HCF of 2490,9462 is 498.
Lets's calculate GCF of 2490,9462
| 2 | 2490, 9462 |
| 3 | 1245, 4731 |
| 83 | 415, 1577 |
| 5, 19 |
∴ So the GCF of the given numbers is 2 x 3 x 83 = 498
Greatest Common Factor of 2490,9462 By Matching Biggest Common Factor Method
Now, list down the factors of 2490
:1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490
Now, list down the factors of 9462
:1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Greatest Common Factor
We found the factors 2490,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 2490,9462 is 498.
Lets's calculate LCM of 322,3970
| 2 | 322, 3970 |
| 161, 1985 |
∴ So the LCM of the given numbers is 2 x 161 x 1985 = 639170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 498/639170
Therefore, the GCF of Fractions 2490/322,9462/3970 is 498/639170
Least Common Multiple of 322,3970 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 322,3970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,3970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,3970) x common factors =2 x 1 = 2
LCM(322,3970) = ( 322 × 3970 ) / 2
LCM(322,3970) = 1278340 / 2
LCM(322,3970) = 639170
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FAQs on GCF of Fractions of 2490/322, 9462/3970
1. What is the HCF of 2490,9462?
The HCF of 2490,9462 is 498
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 2490/322, 9462/3970?
Answer: GCF of Numerators as per given numbers 2490/322, 9462/3970 is
GCF of Numerators i.e. for 2490,9462 is 498
LCM of denominators i.e. for 322,3970 is 639170.
Thus, GCF of Fractions is 498/639170.Finally, GCF of Fractions for 2490/322, 9462/3970 is 498/639170.