GCF of 9482/144, 6458/3970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9482/144, 6458/3970 i.e 2/285840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9482/144, 6458/3970.
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 9482/144,6458/3970?
Given fractions are 9482/144,6458/3970
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 9482/144,6458/3970, numerators are 9482,6458
Denominators are 144,3970
The GCF of 9482,6458 is 2 .
LCM of 144,3970 is 285840.
The greatest common factor of 9482/144,6458/3970 = [GCF of 9482,6458]/[LCM of 144,3970]= 2/285840
Therefore, the GCF of 9482/144,6458/3970 is 2/285840.
To find the highest common factor of 9482,6458, we have to find the factors of both numbers and list the highest common factor.
The factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482
The factors of 6458 are 1, 2, 3229, 6458
The HCF of 9482,6458 is 2.
Lets's calculate GCF of 9482,6458
| 2 | 9482, 6458 |
| 4741, 3229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9482,6458 By Matching Biggest Common Factor Method
Now, list down the factors of 9482
:1,2,11,22,431,862,4741,9482
Now, list down the factors of 6458
:1,2,3229,6458
Greatest Common Factor
We found the factors 9482,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 9482,6458 is 2.
Lets's calculate LCM of 144,3970
| 2 | 144, 3970 |
| 72, 1985 |
∴ So the LCM of the given numbers is 2 x 72 x 1985 = 285840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/285840
Therefore, the GCF of Fractions 9482/144,6458/3970 is 2/285840
Least Common Multiple of 144,3970 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 144,3970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,3970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(144,3970) x common factors =2 x 1 = 2
LCM(144,3970) = ( 144 × 3970 ) / 2
LCM(144,3970) = 571680 / 2
LCM(144,3970) = 285840
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FAQs on GCF of Fractions of 9482/144, 6458/3970
1. What is the HCF of 9482,6458?
The HCF of 9482,6458 is 2
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 9482/144, 6458/3970?
Answer: GCF of Numerators as per given numbers 9482/144, 6458/3970 is
GCF of Numerators i.e. for 9482,6458 is 2
LCM of denominators i.e. for 144,3970 is 285840.
Thus, GCF of Fractions is 2/285840.Finally, GCF of Fractions for 9482/144, 6458/3970 is 2/285840.