GCF of 8900/640, 5560/4091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8900/640, 5560/4091 i.e 20/2618240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8900/640, 5560/4091.
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 8900/640,5560/4091?
Given fractions are 8900/640,5560/4091
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 8900/640,5560/4091, numerators are 8900,5560
Denominators are 640,4091
The GCF of 8900,5560 is 20 .
LCM of 640,4091 is 2618240.
The greatest common factor of 8900/640,5560/4091 = [GCF of 8900,5560]/[LCM of 640,4091]= 20/2618240
Therefore, the GCF of 8900/640,5560/4091 is 20/2618240.
To find the highest common factor of 8900,5560, we have to find the factors of both numbers and list the highest common factor.
The factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900
The factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560
The HCF of 8900,5560 is 20.
Lets's calculate GCF of 8900,5560
| 2 | 8900, 5560 |
| 2 | 4450, 2780 |
| 5 | 2225, 1390 |
| 445, 278 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8900,5560 By Matching Biggest Common Factor Method
Now, list down the factors of 8900
:1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900
Now, list down the factors of 5560
:1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560
Greatest Common Factor
We found the factors 8900,5560 . The biggest common factor number is the GCF number.
So the greatest common factor 8900,5560 is 20.
Lets's calculate LCM of 640,4091
Given numbers has no common factors except 1. So, there LCM is their product i.e 2618240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/2618240
Therefore, the GCF of Fractions 8900/640,5560/4091 is 20/2618240
Least Common Multiple of 640,4091 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 640,4091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,4091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,4091) x common factors =1 x 1 = 1
LCM(640,4091) = ( 640 × 4091 ) / 1
LCM(640,4091) = 2618240 / 1
LCM(640,4091) = 2618240
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FAQs on GCF of Fractions of 8900/640, 5560/4091
1. What is the HCF of 8900,5560?
The HCF of 8900,5560 is 20
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 8900/640, 5560/4091?
Answer: GCF of Numerators as per given numbers 8900/640, 5560/4091 is
GCF of Numerators i.e. for 8900,5560 is 20
LCM of denominators i.e. for 640,4091 is 2618240.
Thus, GCF of Fractions is 20/2618240.Finally, GCF of Fractions for 8900/640, 5560/4091 is 20/2618240.