GCF of 7437/281, 6390/4624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7437/281, 6390/4624 i.e 3/1299344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7437/281, 6390/4624.
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 7437/281,6390/4624?
Given fractions are 7437/281,6390/4624
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 7437/281,6390/4624, numerators are 7437,6390
Denominators are 281,4624
The GCF of 7437,6390 is 3 .
LCM of 281,4624 is 1299344.
The greatest common factor of 7437/281,6390/4624 = [GCF of 7437,6390]/[LCM of 281,4624]= 3/1299344
Therefore, the GCF of 7437/281,6390/4624 is 3/1299344.
To find the highest common factor of 7437,6390, we have to find the factors of both numbers and list the highest common factor.
The factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437
The factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390
The HCF of 7437,6390 is 3.
Lets's calculate GCF of 7437,6390
| 3 | 7437, 6390 |
| 2479, 2130 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7437,6390 By Matching Biggest Common Factor Method
Now, list down the factors of 7437
:1,3,37,67,111,201,2479,7437
Now, list down the factors of 6390
:1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390
Greatest Common Factor
We found the factors 7437,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 7437,6390 is 3.
Lets's calculate LCM of 281,4624
Given numbers has no common factors except 1. So, there LCM is their product i.e 1299344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1299344
Therefore, the GCF of Fractions 7437/281,6390/4624 is 3/1299344
Least Common Multiple of 281,4624 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 281,4624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,4624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,4624) x common factors =1 x 1 = 1
LCM(281,4624) = ( 281 × 4624 ) / 1
LCM(281,4624) = 1299344 / 1
LCM(281,4624) = 1299344
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FAQs on GCF of Fractions of 7437/281, 6390/4624
1. What is the HCF of 7437,6390?
The HCF of 7437,6390 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 7437/281, 6390/4624?
Answer: GCF of Numerators as per given numbers 7437/281, 6390/4624 is
GCF of Numerators i.e. for 7437,6390 is 3
LCM of denominators i.e. for 281,4624 is 1299344.
Thus, GCF of Fractions is 3/1299344.Finally, GCF of Fractions for 7437/281, 6390/4624 is 3/1299344.