GCF of 7452/647, 1845/6018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7452/647, 1845/6018 i.e 9/3893646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7452/647, 1845/6018.
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 7452/647,1845/6018?
Given fractions are 7452/647,1845/6018
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 7452/647,1845/6018, numerators are 7452,1845
Denominators are 647,6018
The GCF of 7452,1845 is 9 .
LCM of 647,6018 is 3893646.
The greatest common factor of 7452/647,1845/6018 = [GCF of 7452,1845]/[LCM of 647,6018]= 9/3893646
Therefore, the GCF of 7452/647,1845/6018 is 9/3893646.
To find the highest common factor of 7452,1845, we have to find the factors of both numbers and list the highest common factor.
The factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The HCF of 7452,1845 is 9.
Lets's calculate GCF of 7452,1845
| 3 | 7452, 1845 |
| 3 | 2484, 615 |
| 828, 205 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7452,1845 By Matching Biggest Common Factor Method
Now, list down the factors of 7452
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Greatest Common Factor
We found the factors 7452,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 7452,1845 is 9.
Lets's calculate LCM of 647,6018
Given numbers has no common factors except 1. So, there LCM is their product i.e 3893646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3893646
Therefore, the GCF of Fractions 7452/647,1845/6018 is 9/3893646
Least Common Multiple of 647,6018 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 647,6018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,6018) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,6018) x common factors =1 x 1 = 1
LCM(647,6018) = ( 647 × 6018 ) / 1
LCM(647,6018) = 3893646 / 1
LCM(647,6018) = 3893646
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FAQs on GCF of Fractions of 7452/647, 1845/6018
1. What is the HCF of 7452,1845?
The HCF of 7452,1845 is 9
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 7452/647, 1845/6018?
Answer: GCF of Numerators as per given numbers 7452/647, 1845/6018 is
GCF of Numerators i.e. for 7452,1845 is 9
LCM of denominators i.e. for 647,6018 is 3893646.
Thus, GCF of Fractions is 9/3893646.Finally, GCF of Fractions for 7452/647, 1845/6018 is 9/3893646.