GCF of 6306/389, 4624/9461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6306/389, 4624/9461 i.e 2/3680329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6306/389, 4624/9461.
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 6306/389,4624/9461?
Given fractions are 6306/389,4624/9461
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 6306/389,4624/9461, numerators are 6306,4624
Denominators are 389,9461
The GCF of 6306,4624 is 2 .
LCM of 389,9461 is 3680329.
The greatest common factor of 6306/389,4624/9461 = [GCF of 6306,4624]/[LCM of 389,9461]= 2/3680329
Therefore, the GCF of 6306/389,4624/9461 is 2/3680329.
To find the highest common factor of 6306,4624, we have to find the factors of both numbers and list the highest common factor.
The factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306
The factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624
The HCF of 6306,4624 is 2.
Lets's calculate GCF of 6306,4624
| 2 | 6306, 4624 |
| 3153, 2312 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6306,4624 By Matching Biggest Common Factor Method
Now, list down the factors of 6306
:1,2,3,6,1051,2102,3153,6306
Now, list down the factors of 4624
:1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
Greatest Common Factor
We found the factors 6306,4624 . The biggest common factor number is the GCF number.
So the greatest common factor 6306,4624 is 2.
Lets's calculate LCM of 389,9461
Given numbers has no common factors except 1. So, there LCM is their product i.e 3680329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3680329
Therefore, the GCF of Fractions 6306/389,4624/9461 is 2/3680329
Least Common Multiple of 389,9461 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 389,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,9461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,9461) x common factors =1 x 1 = 1
LCM(389,9461) = ( 389 × 9461 ) / 1
LCM(389,9461) = 3680329 / 1
LCM(389,9461) = 3680329
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FAQs on GCF of Fractions of 6306/389, 4624/9461
1. What is the HCF of 6306,4624?
The HCF of 6306,4624 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 6306/389, 4624/9461?
Answer: GCF of Numerators as per given numbers 6306/389, 4624/9461 is
GCF of Numerators i.e. for 6306,4624 is 2
LCM of denominators i.e. for 389,9461 is 3680329.
Thus, GCF of Fractions is 2/3680329.Finally, GCF of Fractions for 6306/389, 4624/9461 is 2/3680329.