GCF of 220/307, 5320/866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 220/307, 5320/866 i.e 20/265862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/307, 5320/866.
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 220/307,5320/866?
Given fractions are 220/307,5320/866
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 220/307,5320/866, numerators are 220,5320
Denominators are 307,866
The GCF of 220,5320 is 20 .
LCM of 307,866 is 265862.
The greatest common factor of 220/307,5320/866 = [GCF of 220,5320]/[LCM of 307,866]= 20/265862
Therefore, the GCF of 220/307,5320/866 is 20/265862.
To find the highest common factor of 220,5320, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320
The HCF of 220,5320 is 20.
Lets's calculate GCF of 220,5320
| 2 | 220, 5320 |
| 2 | 110, 2660 |
| 5 | 55, 1330 |
| 11, 266 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 220,5320 By Matching Biggest Common Factor Method
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 5320
:1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Greatest Common Factor
We found the factors 220,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 220,5320 is 20.
Lets's calculate LCM of 307,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 265862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/265862
Therefore, the GCF of Fractions 220/307,5320/866 is 20/265862
Least Common Multiple of 307,866 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 307,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,866) x common factors =1 x 1 = 1
LCM(307,866) = ( 307 × 866 ) / 1
LCM(307,866) = 265862 / 1
LCM(307,866) = 265862
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FAQs on GCF of Fractions of 220/307, 5320/866
1. What is the HCF of 220,5320?
The HCF of 220,5320 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 220/307, 5320/866?
Answer: GCF of Numerators as per given numbers 220/307, 5320/866 is
GCF of Numerators i.e. for 220,5320 is 20
LCM of denominators i.e. for 307,866 is 265862.
Thus, GCF of Fractions is 20/265862.Finally, GCF of Fractions for 220/307, 5320/866 is 20/265862.