GCF of 8618/302, 5880/2550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8618/302, 5880/2550 i.e 2/385050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8618/302, 5880/2550.
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 8618/302,5880/2550?
Given fractions are 8618/302,5880/2550
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 8618/302,5880/2550, numerators are 8618,5880
Denominators are 302,2550
The GCF of 8618,5880 is 2 .
LCM of 302,2550 is 385050.
The greatest common factor of 8618/302,5880/2550 = [GCF of 8618,5880]/[LCM of 302,2550]= 2/385050
Therefore, the GCF of 8618/302,5880/2550 is 2/385050.
To find the highest common factor of 8618,5880, we have to find the factors of both numbers and list the highest common factor.
The factors of 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880
The HCF of 8618,5880 is 2.
Lets's calculate GCF of 8618,5880
| 2 | 8618, 5880 |
| 4309, 2940 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8618,5880 By Matching Biggest Common Factor Method
Now, list down the factors of 8618
:1,2,31,62,139,278,4309,8618
Now, list down the factors of 5880
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Greatest Common Factor
We found the factors 8618,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 8618,5880 is 2.
Lets's calculate LCM of 302,2550
| 2 | 302, 2550 |
| 151, 1275 |
∴ So the LCM of the given numbers is 2 x 151 x 1275 = 385050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/385050
Therefore, the GCF of Fractions 8618/302,5880/2550 is 2/385050
Least Common Multiple of 302,2550 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 302,2550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,2550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,2550) x common factors =2 x 1 = 2
LCM(302,2550) = ( 302 × 2550 ) / 2
LCM(302,2550) = 770100 / 2
LCM(302,2550) = 385050
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FAQs on GCF of Fractions of 8618/302, 5880/2550
1. What is the HCF of 8618,5880?
The HCF of 8618,5880 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 8618/302, 5880/2550?
Answer: GCF of Numerators as per given numbers 8618/302, 5880/2550 is
GCF of Numerators i.e. for 8618,5880 is 2
LCM of denominators i.e. for 302,2550 is 385050.
Thus, GCF of Fractions is 2/385050.Finally, GCF of Fractions for 8618/302, 5880/2550 is 2/385050.