GCF of 7617/449, 3399/4298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7617/449, 3399/4298 i.e 3/1929802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7617/449, 3399/4298.
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 7617/449,3399/4298?
Given fractions are 7617/449,3399/4298
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 7617/449,3399/4298, numerators are 7617,3399
Denominators are 449,4298
The GCF of 7617,3399 is 3 .
LCM of 449,4298 is 1929802.
The greatest common factor of 7617/449,3399/4298 = [GCF of 7617,3399]/[LCM of 449,4298]= 3/1929802
Therefore, the GCF of 7617/449,3399/4298 is 3/1929802.
To find the highest common factor of 7617,3399, we have to find the factors of both numbers and list the highest common factor.
The factors of 7617 are 1, 3, 2539, 7617
The factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399
The HCF of 7617,3399 is 3.
Lets's calculate GCF of 7617,3399
| 3 | 7617, 3399 |
| 2539, 1133 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7617,3399 By Matching Biggest Common Factor Method
Now, list down the factors of 7617
:1,3,2539,7617
Now, list down the factors of 3399
:1,3,11,33,103,309,1133,3399
Greatest Common Factor
We found the factors 7617,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 7617,3399 is 3.
Lets's calculate LCM of 449,4298
Given numbers has no common factors except 1. So, there LCM is their product i.e 1929802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1929802
Therefore, the GCF of Fractions 7617/449,3399/4298 is 3/1929802
Least Common Multiple of 449,4298 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 449,4298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,4298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,4298) x common factors =1 x 1 = 1
LCM(449,4298) = ( 449 × 4298 ) / 1
LCM(449,4298) = 1929802 / 1
LCM(449,4298) = 1929802
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FAQs on GCF of Fractions of 7617/449, 3399/4298
1. What is the HCF of 7617,3399?
The HCF of 7617,3399 is 3
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 7617/449, 3399/4298?
Answer: GCF of Numerators as per given numbers 7617/449, 3399/4298 is
GCF of Numerators i.e. for 7617,3399 is 3
LCM of denominators i.e. for 449,4298 is 1929802.
Thus, GCF of Fractions is 3/1929802.Finally, GCF of Fractions for 7617/449, 3399/4298 is 3/1929802.