GCF of 6020/714, 1632/1108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6020/714, 1632/1108 i.e 4/395556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6020/714, 1632/1108.
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 6020/714,1632/1108?
Given fractions are 6020/714,1632/1108
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 6020/714,1632/1108, numerators are 6020,1632
Denominators are 714,1108
The GCF of 6020,1632 is 4 .
LCM of 714,1108 is 395556.
The greatest common factor of 6020/714,1632/1108 = [GCF of 6020,1632]/[LCM of 714,1108]= 4/395556
Therefore, the GCF of 6020/714,1632/1108 is 4/395556.
To find the highest common factor of 6020,1632, we have to find the factors of both numbers and list the highest common factor.
The factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632
The HCF of 6020,1632 is 4.
Lets's calculate GCF of 6020,1632
| 2 | 6020, 1632 |
| 2 | 3010, 816 |
| 1505, 408 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6020,1632 By Matching Biggest Common Factor Method
Now, list down the factors of 6020
:1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Now, list down the factors of 1632
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632
Greatest Common Factor
We found the factors 6020,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 6020,1632 is 4.
Lets's calculate LCM of 714,1108
| 2 | 714, 1108 |
| 357, 554 |
∴ So the LCM of the given numbers is 2 x 357 x 554 = 395556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/395556
Therefore, the GCF of Fractions 6020/714,1632/1108 is 4/395556
Least Common Multiple of 714,1108 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 714,1108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,1108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,1108) x common factors =2 x 1 = 2
LCM(714,1108) = ( 714 × 1108 ) / 2
LCM(714,1108) = 791112 / 2
LCM(714,1108) = 395556
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FAQs on GCF of Fractions of 6020/714, 1632/1108
1. What is the HCF of 6020,1632?
The HCF of 6020,1632 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 6020/714, 1632/1108?
Answer: GCF of Numerators as per given numbers 6020/714, 1632/1108 is
GCF of Numerators i.e. for 6020,1632 is 4
LCM of denominators i.e. for 714,1108 is 395556.
Thus, GCF of Fractions is 4/395556.Finally, GCF of Fractions for 6020/714, 1632/1108 is 4/395556.