GCF of 8916/22, 7420/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8916/22, 7420/580 i.e 4/6380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8916/22, 7420/580.
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 8916/22,7420/580?
Given fractions are 8916/22,7420/580
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 8916/22,7420/580, numerators are 8916,7420
Denominators are 22,580
The GCF of 8916,7420 is 4 .
LCM of 22,580 is 6380.
The greatest common factor of 8916/22,7420/580 = [GCF of 8916,7420]/[LCM of 22,580]= 4/6380
Therefore, the GCF of 8916/22,7420/580 is 4/6380.
To find the highest common factor of 8916,7420, we have to find the factors of both numbers and list the highest common factor.
The factors of 8916 are 1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916
The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
The HCF of 8916,7420 is 4.
Lets's calculate GCF of 8916,7420
| 2 | 8916, 7420 |
| 2 | 4458, 3710 |
| 2229, 1855 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8916,7420 By Matching Biggest Common Factor Method
Now, list down the factors of 8916
:1,2,3,4,6,12,743,1486,2229,2972,4458,8916
Now, list down the factors of 7420
:1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Greatest Common Factor
We found the factors 8916,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 8916,7420 is 4.
Lets's calculate LCM of 22,580
| 2 | 22, 580 |
| 11, 290 |
∴ So the LCM of the given numbers is 2 x 11 x 290 = 6380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6380
Therefore, the GCF of Fractions 8916/22,7420/580 is 4/6380
Least Common Multiple of 22,580 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 22,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,580) x common factors =2 x 1 = 2
LCM(22,580) = ( 22 × 580 ) / 2
LCM(22,580) = 12760 / 2
LCM(22,580) = 6380
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FAQs on GCF of Fractions of 8916/22, 7420/580
1. What is the HCF of 8916,7420?
The HCF of 8916,7420 is 4
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 8916/22, 7420/580?
Answer: GCF of Numerators as per given numbers 8916/22, 7420/580 is
GCF of Numerators i.e. for 8916,7420 is 4
LCM of denominators i.e. for 22,580 is 6380.
Thus, GCF of Fractions is 4/6380.Finally, GCF of Fractions for 8916/22, 7420/580 is 4/6380.