GCF of 4587/744, 1702/9142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4587/744, 1702/9142 i.e 1/3400824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4587/744, 1702/9142.
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 4587/744,1702/9142?
Given fractions are 4587/744,1702/9142
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 4587/744,1702/9142, numerators are 4587,1702
Denominators are 744,9142
The GCF of 4587,1702 is 1 .
LCM of 744,9142 is 3400824.
The greatest common factor of 4587/744,1702/9142 = [GCF of 4587,1702]/[LCM of 744,9142]= 1/3400824
Therefore, the GCF of 4587/744,1702/9142 is 1/3400824.
To find the highest common factor of 4587,1702, we have to find the factors of both numbers and list the highest common factor.
The factors of 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587
The factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702
The HCF of 4587,1702 is 1.
Lets's calculate GCF of 4587,1702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4587,1702 By Matching Biggest Common Factor Method
Now, list down the factors of 4587
:1,3,11,33,139,417,1529,4587
Now, list down the factors of 1702
:1,2,23,37,46,74,851,1702
Greatest Common Factor
We found the factors 4587,1702 . The biggest common factor number is the GCF number.
So the greatest common factor 4587,1702 is 1.
Lets's calculate LCM of 744,9142
| 2 | 744, 9142 |
| 372, 4571 |
∴ So the LCM of the given numbers is 2 x 372 x 4571 = 3400824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3400824
Therefore, the GCF of Fractions 4587/744,1702/9142 is 1/3400824
Least Common Multiple of 744,9142 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 744,9142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,9142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(744,9142) x common factors =2 x 1 = 2
LCM(744,9142) = ( 744 × 9142 ) / 2
LCM(744,9142) = 6801648 / 2
LCM(744,9142) = 3400824
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FAQs on GCF of Fractions of 4587/744, 1702/9142
1. What is the HCF of 4587,1702?
The HCF of 4587,1702 is 1
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 4587/744, 1702/9142?
Answer: GCF of Numerators as per given numbers 4587/744, 1702/9142 is
GCF of Numerators i.e. for 4587,1702 is 1
LCM of denominators i.e. for 744,9142 is 3400824.
Thus, GCF of Fractions is 1/3400824.Finally, GCF of Fractions for 4587/744, 1702/9142 is 1/3400824.