GCF of 1080/553, 6820/5731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1080/553, 6820/5731 i.e 20/3169243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1080/553, 6820/5731.
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 1080/553,6820/5731?
Given fractions are 1080/553,6820/5731
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 1080/553,6820/5731, numerators are 1080,6820
Denominators are 553,5731
The GCF of 1080,6820 is 20 .
LCM of 553,5731 is 3169243.
The greatest common factor of 1080/553,6820/5731 = [GCF of 1080,6820]/[LCM of 553,5731]= 20/3169243
Therefore, the GCF of 1080/553,6820/5731 is 20/3169243.
To find the highest common factor of 1080,6820, we have to find the factors of both numbers and list the highest common factor.
The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080
The factors of 6820 are 1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220, 310, 341, 620, 682, 1364, 1705, 3410, 6820
The HCF of 1080,6820 is 20.
Lets's calculate GCF of 1080,6820
| 2 | 1080, 6820 |
| 2 | 540, 3410 |
| 5 | 270, 1705 |
| 54, 341 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 1080,6820 By Matching Biggest Common Factor Method
Now, list down the factors of 1080
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080
Now, list down the factors of 6820
:1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820
Greatest Common Factor
We found the factors 1080,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 1080,6820 is 20.
Lets's calculate LCM of 553,5731
Given numbers has no common factors except 1. So, there LCM is their product i.e 3169243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/3169243
Therefore, the GCF of Fractions 1080/553,6820/5731 is 20/3169243
Least Common Multiple of 553,5731 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 553,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,5731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,5731) x common factors =1 x 1 = 1
LCM(553,5731) = ( 553 × 5731 ) / 1
LCM(553,5731) = 3169243 / 1
LCM(553,5731) = 3169243
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FAQs on GCF of Fractions of 1080/553, 6820/5731
1. What is the HCF of 1080,6820?
The HCF of 1080,6820 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 1080/553, 6820/5731?
Answer: GCF of Numerators as per given numbers 1080/553, 6820/5731 is
GCF of Numerators i.e. for 1080,6820 is 20
LCM of denominators i.e. for 553,5731 is 3169243.
Thus, GCF of Fractions is 20/3169243.Finally, GCF of Fractions for 1080/553, 6820/5731 is 20/3169243.