GCF of 5218/466, 8670/100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5218/466, 8670/100 i.e 2/23300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5218/466, 8670/100.
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 5218/466,8670/100?
Given fractions are 5218/466,8670/100
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 5218/466,8670/100, numerators are 5218,8670
Denominators are 466,100
The GCF of 5218,8670 is 2 .
LCM of 466,100 is 23300.
The greatest common factor of 5218/466,8670/100 = [GCF of 5218,8670]/[LCM of 466,100]= 2/23300
Therefore, the GCF of 5218/466,8670/100 is 2/23300.
To find the highest common factor of 5218,8670, we have to find the factors of both numbers and list the highest common factor.
The factors of 5218 are 1, 2, 2609, 5218
The factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670
The HCF of 5218,8670 is 2.
Lets's calculate GCF of 5218,8670
| 2 | 5218, 8670 |
| 2609, 4335 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5218,8670 By Matching Biggest Common Factor Method
Now, list down the factors of 5218
:1,2,2609,5218
Now, list down the factors of 8670
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670
Greatest Common Factor
We found the factors 5218,8670 . The biggest common factor number is the GCF number.
So the greatest common factor 5218,8670 is 2.
Lets's calculate LCM of 466,100
| 2 | 466, 100 |
| 233, 50 |
∴ So the LCM of the given numbers is 2 x 233 x 50 = 23300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23300
Therefore, the GCF of Fractions 5218/466,8670/100 is 2/23300
Least Common Multiple of 466,100 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 466,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,100) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,100) x common factors =2 x 1 = 2
LCM(466,100) = ( 466 × 100 ) / 2
LCM(466,100) = 46600 / 2
LCM(466,100) = 23300
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FAQs on GCF of Fractions of 5218/466, 8670/100
1. What is the HCF of 5218,8670?
The HCF of 5218,8670 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 5218/466, 8670/100?
Answer: GCF of Numerators as per given numbers 5218/466, 8670/100 is
GCF of Numerators i.e. for 5218,8670 is 2
LCM of denominators i.e. for 466,100 is 23300.
Thus, GCF of Fractions is 2/23300.Finally, GCF of Fractions for 5218/466, 8670/100 is 2/23300.