GCF of 3650/624, 9594/3481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3650/624, 9594/3481 i.e 2/2172144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3650/624, 9594/3481.
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 3650/624,9594/3481?
Given fractions are 3650/624,9594/3481
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 3650/624,9594/3481, numerators are 3650,9594
Denominators are 624,3481
The GCF of 3650,9594 is 2 .
LCM of 624,3481 is 2172144.
The greatest common factor of 3650/624,9594/3481 = [GCF of 3650,9594]/[LCM of 624,3481]= 2/2172144
Therefore, the GCF of 3650/624,9594/3481 is 2/2172144.
To find the highest common factor of 3650,9594, we have to find the factors of both numbers and list the highest common factor.
The factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650
The factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594
The HCF of 3650,9594 is 2.
Lets's calculate GCF of 3650,9594
| 2 | 3650, 9594 |
| 1825, 4797 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3650,9594 By Matching Biggest Common Factor Method
Now, list down the factors of 3650
:1,2,5,10,25,50,73,146,365,730,1825,3650
Now, list down the factors of 9594
:1,2,3,6,9,13,18,26,39,41,78,82,117,123,234,246,369,533,738,1066,1599,3198,4797,9594
Greatest Common Factor
We found the factors 3650,9594 . The biggest common factor number is the GCF number.
So the greatest common factor 3650,9594 is 2.
Lets's calculate LCM of 624,3481
Given numbers has no common factors except 1. So, there LCM is their product i.e 2172144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2172144
Therefore, the GCF of Fractions 3650/624,9594/3481 is 2/2172144
Least Common Multiple of 624,3481 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 624,3481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,3481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,3481) x common factors =1 x 1 = 1
LCM(624,3481) = ( 624 × 3481 ) / 1
LCM(624,3481) = 2172144 / 1
LCM(624,3481) = 2172144
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FAQs on GCF of Fractions of 3650/624, 9594/3481
1. What is the HCF of 3650,9594?
The HCF of 3650,9594 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 3650/624, 9594/3481?
Answer: GCF of Numerators as per given numbers 3650/624, 9594/3481 is
GCF of Numerators i.e. for 3650,9594 is 2
LCM of denominators i.e. for 624,3481 is 2172144.
Thus, GCF of Fractions is 2/2172144.Finally, GCF of Fractions for 3650/624, 9594/3481 is 2/2172144.