GCF of 3620/618, 7195/9464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3620/618, 7195/9464 i.e 5/2924376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3620/618, 7195/9464.
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 3620/618,7195/9464?
Given fractions are 3620/618,7195/9464
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 3620/618,7195/9464, numerators are 3620,7195
Denominators are 618,9464
The GCF of 3620,7195 is 5 .
LCM of 618,9464 is 2924376.
The greatest common factor of 3620/618,7195/9464 = [GCF of 3620,7195]/[LCM of 618,9464]= 5/2924376
Therefore, the GCF of 3620/618,7195/9464 is 5/2924376.
To find the highest common factor of 3620,7195, we have to find the factors of both numbers and list the highest common factor.
The factors of 3620 are 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620
The factors of 7195 are 1, 5, 1439, 7195
The HCF of 3620,7195 is 5.
Lets's calculate GCF of 3620,7195
| 5 | 3620, 7195 |
| 724, 1439 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3620,7195 By Matching Biggest Common Factor Method
Now, list down the factors of 3620
:1,2,4,5,10,20,181,362,724,905,1810,3620
Now, list down the factors of 7195
:1,5,1439,7195
Greatest Common Factor
We found the factors 3620,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 3620,7195 is 5.
Lets's calculate LCM of 618,9464
| 2 | 618, 9464 |
| 309, 4732 |
∴ So the LCM of the given numbers is 2 x 309 x 4732 = 2924376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2924376
Therefore, the GCF of Fractions 3620/618,7195/9464 is 5/2924376
Least Common Multiple of 618,9464 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 618,9464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,9464) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,9464) x common factors =2 x 1 = 2
LCM(618,9464) = ( 618 × 9464 ) / 2
LCM(618,9464) = 5848752 / 2
LCM(618,9464) = 2924376
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FAQs on GCF of Fractions of 3620/618, 7195/9464
1. What is the HCF of 3620,7195?
The HCF of 3620,7195 is 5
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 3620/618, 7195/9464?
Answer: GCF of Numerators as per given numbers 3620/618, 7195/9464 is
GCF of Numerators i.e. for 3620,7195 is 5
LCM of denominators i.e. for 618,9464 is 2924376.
Thus, GCF of Fractions is 5/2924376.Finally, GCF of Fractions for 3620/618, 7195/9464 is 5/2924376.