GCF of 8220/812, 5540/892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8220/812, 5540/892 i.e 20/181076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8220/812, 5540/892.
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 8220/812,5540/892?
Given fractions are 8220/812,5540/892
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 8220/812,5540/892, numerators are 8220,5540
Denominators are 812,892
The GCF of 8220,5540 is 20 .
LCM of 812,892 is 181076.
The greatest common factor of 8220/812,5540/892 = [GCF of 8220,5540]/[LCM of 812,892]= 20/181076
Therefore, the GCF of 8220/812,5540/892 is 20/181076.
To find the highest common factor of 8220,5540, we have to find the factors of both numbers and list the highest common factor.
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540
The HCF of 8220,5540 is 20.
Lets's calculate GCF of 8220,5540
| 2 | 8220, 5540 |
| 2 | 4110, 2770 |
| 5 | 2055, 1385 |
| 411, 277 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8220,5540 By Matching Biggest Common Factor Method
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Now, list down the factors of 5540
:1,2,4,5,10,20,277,554,1108,1385,2770,5540
Greatest Common Factor
We found the factors 8220,5540 . The biggest common factor number is the GCF number.
So the greatest common factor 8220,5540 is 20.
Lets's calculate LCM of 812,892
| 2 | 812, 892 |
| 2 | 406, 446 |
| 203, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 223 = 181076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/181076
Therefore, the GCF of Fractions 8220/812,5540/892 is 20/181076
Least Common Multiple of 812,892 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 812,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,892) x common factors =4 x 1 = 4
LCM(812,892) = ( 812 × 892 ) / 4
LCM(812,892) = 724304 / 4
LCM(812,892) = 181076
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FAQs on GCF of Fractions of 8220/812, 5540/892
1. What is the HCF of 8220,5540?
The HCF of 8220,5540 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 8220/812, 5540/892?
Answer: GCF of Numerators as per given numbers 8220/812, 5540/892 is
GCF of Numerators i.e. for 8220,5540 is 20
LCM of denominators i.e. for 812,892 is 181076.
Thus, GCF of Fractions is 20/181076.Finally, GCF of Fractions for 8220/812, 5540/892 is 20/181076.