GCF of 8406/290, 9496/3732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8406/290, 9496/3732 i.e 2/541140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8406/290, 9496/3732.
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 8406/290,9496/3732?
Given fractions are 8406/290,9496/3732
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 8406/290,9496/3732, numerators are 8406,9496
Denominators are 290,3732
The GCF of 8406,9496 is 2 .
LCM of 290,3732 is 541140.
The greatest common factor of 8406/290,9496/3732 = [GCF of 8406,9496]/[LCM of 290,3732]= 2/541140
Therefore, the GCF of 8406/290,9496/3732 is 2/541140.
To find the highest common factor of 8406,9496, we have to find the factors of both numbers and list the highest common factor.
The factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406
The factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496
The HCF of 8406,9496 is 2.
Lets's calculate GCF of 8406,9496
| 2 | 8406, 9496 |
| 4203, 4748 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8406,9496 By Matching Biggest Common Factor Method
Now, list down the factors of 8406
:1,2,3,6,9,18,467,934,1401,2802,4203,8406
Now, list down the factors of 9496
:1,2,4,8,1187,2374,4748,9496
Greatest Common Factor
We found the factors 8406,9496 . The biggest common factor number is the GCF number.
So the greatest common factor 8406,9496 is 2.
Lets's calculate LCM of 290,3732
| 2 | 290, 3732 |
| 145, 1866 |
∴ So the LCM of the given numbers is 2 x 145 x 1866 = 541140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/541140
Therefore, the GCF of Fractions 8406/290,9496/3732 is 2/541140
Least Common Multiple of 290,3732 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 290,3732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,3732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,3732) x common factors =2 x 1 = 2
LCM(290,3732) = ( 290 × 3732 ) / 2
LCM(290,3732) = 1082280 / 2
LCM(290,3732) = 541140
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FAQs on GCF of Fractions of 8406/290, 9496/3732
1. What is the HCF of 8406,9496?
The HCF of 8406,9496 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 8406/290, 9496/3732?
Answer: GCF of Numerators as per given numbers 8406/290, 9496/3732 is
GCF of Numerators i.e. for 8406,9496 is 2
LCM of denominators i.e. for 290,3732 is 541140.
Thus, GCF of Fractions is 2/541140.Finally, GCF of Fractions for 8406/290, 9496/3732 is 2/541140.