GCF of 1587/168, 4230/6442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1587/168, 4230/6442 i.e 3/541128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1587/168, 4230/6442.
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 1587/168,4230/6442?
Given fractions are 1587/168,4230/6442
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 1587/168,4230/6442, numerators are 1587,4230
Denominators are 168,6442
The GCF of 1587,4230 is 3 .
LCM of 168,6442 is 541128.
The greatest common factor of 1587/168,4230/6442 = [GCF of 1587,4230]/[LCM of 168,6442]= 3/541128
Therefore, the GCF of 1587/168,4230/6442 is 3/541128.
To find the highest common factor of 1587,4230, we have to find the factors of both numbers and list the highest common factor.
The factors of 1587 are 1, 3, 23, 69, 529, 1587
The factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
The HCF of 1587,4230 is 3.
Lets's calculate GCF of 1587,4230
| 3 | 1587, 4230 |
| 529, 1410 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1587,4230 By Matching Biggest Common Factor Method
Now, list down the factors of 1587
:1,3,23,69,529,1587
Now, list down the factors of 4230
:1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Greatest Common Factor
We found the factors 1587,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 1587,4230 is 3.
Lets's calculate LCM of 168,6442
| 2 | 168, 6442 |
| 84, 3221 |
∴ So the LCM of the given numbers is 2 x 84 x 3221 = 541128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/541128
Therefore, the GCF of Fractions 1587/168,4230/6442 is 3/541128
Least Common Multiple of 168,6442 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 168,6442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,6442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,6442) x common factors =2 x 1 = 2
LCM(168,6442) = ( 168 × 6442 ) / 2
LCM(168,6442) = 1082256 / 2
LCM(168,6442) = 541128
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FAQs on GCF of Fractions of 1587/168, 4230/6442
1. What is the HCF of 1587,4230?
The HCF of 1587,4230 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 1587/168, 4230/6442?
Answer: GCF of Numerators as per given numbers 1587/168, 4230/6442 is
GCF of Numerators i.e. for 1587,4230 is 3
LCM of denominators i.e. for 168,6442 is 541128.
Thus, GCF of Fractions is 3/541128.Finally, GCF of Fractions for 1587/168, 4230/6442 is 3/541128.