GCF of 6020/584, 5754/5867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6020/584, 5754/5867 i.e 14/3426328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6020/584, 5754/5867.
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 6020/584,5754/5867?
Given fractions are 6020/584,5754/5867
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 6020/584,5754/5867, numerators are 6020,5754
Denominators are 584,5867
The GCF of 6020,5754 is 14 .
LCM of 584,5867 is 3426328.
The greatest common factor of 6020/584,5754/5867 = [GCF of 6020,5754]/[LCM of 584,5867]= 14/3426328
Therefore, the GCF of 6020/584,5754/5867 is 14/3426328.
To find the highest common factor of 6020,5754, 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 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The HCF of 6020,5754 is 14.
Lets's calculate GCF of 6020,5754
| 2 | 6020, 5754 |
| 7 | 3010, 2877 |
| 430, 411 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6020,5754 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 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Greatest Common Factor
We found the factors 6020,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 6020,5754 is 14.
Lets's calculate LCM of 584,5867
Given numbers has no common factors except 1. So, there LCM is their product i.e 3426328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3426328
Therefore, the GCF of Fractions 6020/584,5754/5867 is 14/3426328
Least Common Multiple of 584,5867 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 584,5867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,5867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,5867) x common factors =1 x 1 = 1
LCM(584,5867) = ( 584 × 5867 ) / 1
LCM(584,5867) = 3426328 / 1
LCM(584,5867) = 3426328
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6020/584, 5754/5867
1. What is the HCF of 6020,5754?
The HCF of 6020,5754 is 14
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 6020/584, 5754/5867?
Answer: GCF of Numerators as per given numbers 6020/584, 5754/5867 is
GCF of Numerators i.e. for 6020,5754 is 14
LCM of denominators i.e. for 584,5867 is 3426328.
Thus, GCF of Fractions is 14/3426328.Finally, GCF of Fractions for 6020/584, 5754/5867 is 14/3426328.