GCF of 6154/687, 4290/9005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6154/687, 4290/9005 i.e 2/6186435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6154/687, 4290/9005.
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 6154/687,4290/9005?
Given fractions are 6154/687,4290/9005
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 6154/687,4290/9005, numerators are 6154,4290
Denominators are 687,9005
The GCF of 6154,4290 is 2 .
LCM of 687,9005 is 6186435.
The greatest common factor of 6154/687,4290/9005 = [GCF of 6154,4290]/[LCM of 687,9005]= 2/6186435
Therefore, the GCF of 6154/687,4290/9005 is 2/6186435.
To find the highest common factor of 6154,4290, we have to find the factors of both numbers and list the highest common factor.
The factors of 6154 are 1, 2, 17, 34, 181, 362, 3077, 6154
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 HCF of 6154,4290 is 2.
Lets's calculate GCF of 6154,4290
| 2 | 6154, 4290 |
| 3077, 2145 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6154,4290 By Matching Biggest Common Factor Method
Now, list down the factors of 6154
:1,2,17,34,181,362,3077,6154
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
Greatest Common Factor
We found the factors 6154,4290 . The biggest common factor number is the GCF number.
So the greatest common factor 6154,4290 is 2.
Lets's calculate LCM of 687,9005
Given numbers has no common factors except 1. So, there LCM is their product i.e 6186435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6186435
Therefore, the GCF of Fractions 6154/687,4290/9005 is 2/6186435
Least Common Multiple of 687,9005 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 687,9005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,9005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,9005) x common factors =1 x 1 = 1
LCM(687,9005) = ( 687 × 9005 ) / 1
LCM(687,9005) = 6186435 / 1
LCM(687,9005) = 6186435
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FAQs on GCF of Fractions of 6154/687, 4290/9005
1. What is the HCF of 6154,4290?
The HCF of 6154,4290 is 2
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 6154/687, 4290/9005?
Answer: GCF of Numerators as per given numbers 6154/687, 4290/9005 is
GCF of Numerators i.e. for 6154,4290 is 2
LCM of denominators i.e. for 687,9005 is 6186435.
Thus, GCF of Fractions is 2/6186435.Finally, GCF of Fractions for 6154/687, 4290/9005 is 2/6186435.