GCF of 4290/186, 4627/8738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4290/186, 4627/8738 i.e 1/812634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4290/186, 4627/8738.
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 4290/186,4627/8738?
Given fractions are 4290/186,4627/8738
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 4290/186,4627/8738, numerators are 4290,4627
Denominators are 186,8738
The GCF of 4290,4627 is 1 .
LCM of 186,8738 is 812634.
The greatest common factor of 4290/186,4627/8738 = [GCF of 4290,4627]/[LCM of 186,8738]= 1/812634
Therefore, the GCF of 4290/186,4627/8738 is 1/812634.
To find the highest common factor of 4290,4627, we have to find the factors of both numbers and list the highest common factor.
The factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The factors of 4627 are 1, 7, 661, 4627
The HCF of 4290,4627 is 1.
Lets's calculate GCF of 4290,4627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4290,4627 By Matching Biggest Common Factor Method
Now, list down the factors of 4290
:1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Now, list down the factors of 4627
:1,7,661,4627
Greatest Common Factor
We found the factors 4290,4627 . The biggest common factor number is the GCF number.
So the greatest common factor 4290,4627 is 1.
Lets's calculate LCM of 186,8738
| 2 | 186, 8738 |
| 93, 4369 |
∴ So the LCM of the given numbers is 2 x 93 x 4369 = 812634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/812634
Therefore, the GCF of Fractions 4290/186,4627/8738 is 1/812634
Least Common Multiple of 186,8738 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 186,8738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,8738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,8738) x common factors =2 x 1 = 2
LCM(186,8738) = ( 186 × 8738 ) / 2
LCM(186,8738) = 1625268 / 2
LCM(186,8738) = 812634
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FAQs on GCF of Fractions of 4290/186, 4627/8738
1. What is the HCF of 4290,4627?
The HCF of 4290,4627 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 4290/186, 4627/8738?
Answer: GCF of Numerators as per given numbers 4290/186, 4627/8738 is
GCF of Numerators i.e. for 4290,4627 is 1
LCM of denominators i.e. for 186,8738 is 812634.
Thus, GCF of Fractions is 1/812634.Finally, GCF of Fractions for 4290/186, 4627/8738 is 1/812634.