GCF of 1845/417, 8598/3407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1845/417, 8598/3407 i.e 3/1420719 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1845/417, 8598/3407.
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 1845/417,8598/3407?
Given fractions are 1845/417,8598/3407
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 1845/417,8598/3407, numerators are 1845,8598
Denominators are 417,3407
The GCF of 1845,8598 is 3 .
LCM of 417,3407 is 1420719.
The greatest common factor of 1845/417,8598/3407 = [GCF of 1845,8598]/[LCM of 417,3407]= 3/1420719
Therefore, the GCF of 1845/417,8598/3407 is 3/1420719.
To find the highest common factor of 1845,8598, we have to find the factors of both numbers and list the highest common factor.
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The factors of 8598 are 1, 2, 3, 6, 1433, 2866, 4299, 8598
The HCF of 1845,8598 is 3.
Lets's calculate GCF of 1845,8598
| 3 | 1845, 8598 |
| 615, 2866 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1845,8598 By Matching Biggest Common Factor Method
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Now, list down the factors of 8598
:1,2,3,6,1433,2866,4299,8598
Greatest Common Factor
We found the factors 1845,8598 . The biggest common factor number is the GCF number.
So the greatest common factor 1845,8598 is 3.
Lets's calculate LCM of 417,3407
Given numbers has no common factors except 1. So, there LCM is their product i.e 1420719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1420719
Therefore, the GCF of Fractions 1845/417,8598/3407 is 3/1420719
Least Common Multiple of 417,3407 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 417,3407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,3407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,3407) x common factors =1 x 1 = 1
LCM(417,3407) = ( 417 × 3407 ) / 1
LCM(417,3407) = 1420719 / 1
LCM(417,3407) = 1420719
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FAQs on GCF of Fractions of 1845/417, 8598/3407
1. What is the HCF of 1845,8598?
The HCF of 1845,8598 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 1845/417, 8598/3407?
Answer: GCF of Numerators as per given numbers 1845/417, 8598/3407 is
GCF of Numerators i.e. for 1845,8598 is 3
LCM of denominators i.e. for 417,3407 is 1420719.
Thus, GCF of Fractions is 3/1420719.Finally, GCF of Fractions for 1845/417, 8598/3407 is 3/1420719.