GCF of 3626/164, 8399/2997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3626/164, 8399/2997 i.e 37/491508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3626/164, 8399/2997.
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 3626/164,8399/2997?
Given fractions are 3626/164,8399/2997
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 3626/164,8399/2997, numerators are 3626,8399
Denominators are 164,2997
The GCF of 3626,8399 is 37 .
LCM of 164,2997 is 491508.
The greatest common factor of 3626/164,8399/2997 = [GCF of 3626,8399]/[LCM of 164,2997]= 37/491508
Therefore, the GCF of 3626/164,8399/2997 is 37/491508.
To find the highest common factor of 3626,8399, we have to find the factors of both numbers and list the highest common factor.
The factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626
The factors of 8399 are 1, 37, 227, 8399
The HCF of 3626,8399 is 37.
Lets's calculate GCF of 3626,8399
| 37 | 3626, 8399 |
| 98, 227 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 3626,8399 By Matching Biggest Common Factor Method
Now, list down the factors of 3626
:1,2,7,14,37,49,74,98,259,518,1813,3626
Now, list down the factors of 8399
:1,37,227,8399
Greatest Common Factor
We found the factors 3626,8399 . The biggest common factor number is the GCF number.
So the greatest common factor 3626,8399 is 37.
Lets's calculate LCM of 164,2997
Given numbers has no common factors except 1. So, there LCM is their product i.e 491508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/491508
Therefore, the GCF of Fractions 3626/164,8399/2997 is 37/491508
Least Common Multiple of 164,2997 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 164,2997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,2997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,2997) x common factors =1 x 1 = 1
LCM(164,2997) = ( 164 × 2997 ) / 1
LCM(164,2997) = 491508 / 1
LCM(164,2997) = 491508
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FAQs on GCF of Fractions of 3626/164, 8399/2997
1. What is the HCF of 3626,8399?
The HCF of 3626,8399 is 37
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 3626/164, 8399/2997?
Answer: GCF of Numerators as per given numbers 3626/164, 8399/2997 is
GCF of Numerators i.e. for 3626,8399 is 37
LCM of denominators i.e. for 164,2997 is 491508.
Thus, GCF of Fractions is 37/491508.Finally, GCF of Fractions for 3626/164, 8399/2997 is 37/491508.