GCF of 3624/237, 9558/7153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3624/237, 9558/7153 i.e 6/1695261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3624/237, 9558/7153.
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 3624/237,9558/7153?
Given fractions are 3624/237,9558/7153
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 3624/237,9558/7153, numerators are 3624,9558
Denominators are 237,7153
The GCF of 3624,9558 is 6 .
LCM of 237,7153 is 1695261.
The greatest common factor of 3624/237,9558/7153 = [GCF of 3624,9558]/[LCM of 237,7153]= 6/1695261
Therefore, the GCF of 3624/237,9558/7153 is 6/1695261.
To find the highest common factor of 3624,9558, we have to find the factors of both numbers and list the highest common factor.
The factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624
The factors of 9558 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062, 1593, 3186, 4779, 9558
The HCF of 3624,9558 is 6.
Lets's calculate GCF of 3624,9558
| 2 | 3624, 9558 |
| 3 | 1812, 4779 |
| 604, 1593 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3624,9558 By Matching Biggest Common Factor Method
Now, list down the factors of 3624
:1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624
Now, list down the factors of 9558
:1,2,3,6,9,18,27,54,59,81,118,162,177,354,531,1062,1593,3186,4779,9558
Greatest Common Factor
We found the factors 3624,9558 . The biggest common factor number is the GCF number.
So the greatest common factor 3624,9558 is 6.
Lets's calculate LCM of 237,7153
Given numbers has no common factors except 1. So, there LCM is their product i.e 1695261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1695261
Therefore, the GCF of Fractions 3624/237,9558/7153 is 6/1695261
Least Common Multiple of 237,7153 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 237,7153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,7153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,7153) x common factors =1 x 1 = 1
LCM(237,7153) = ( 237 × 7153 ) / 1
LCM(237,7153) = 1695261 / 1
LCM(237,7153) = 1695261
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FAQs on GCF of Fractions of 3624/237, 9558/7153
1. What is the HCF of 3624,9558?
The HCF of 3624,9558 is 6
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 3624/237, 9558/7153?
Answer: GCF of Numerators as per given numbers 3624/237, 9558/7153 is
GCF of Numerators i.e. for 3624,9558 is 6
LCM of denominators i.e. for 237,7153 is 1695261.
Thus, GCF of Fractions is 6/1695261.Finally, GCF of Fractions for 3624/237, 9558/7153 is 6/1695261.