GCF of 3020/290, 6068/5436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3020/290, 6068/5436 i.e 4/788220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3020/290, 6068/5436.
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 3020/290,6068/5436?
Given fractions are 3020/290,6068/5436
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 3020/290,6068/5436, numerators are 3020,6068
Denominators are 290,5436
The GCF of 3020,6068 is 4 .
LCM of 290,5436 is 788220.
The greatest common factor of 3020/290,6068/5436 = [GCF of 3020,6068]/[LCM of 290,5436]= 4/788220
Therefore, the GCF of 3020/290,6068/5436 is 4/788220.
To find the highest common factor of 3020,6068, we have to find the factors of both numbers and list the highest common factor.
The factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020
The factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068
The HCF of 3020,6068 is 4.
Lets's calculate GCF of 3020,6068
| 2 | 3020, 6068 |
| 2 | 1510, 3034 |
| 755, 1517 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3020,6068 By Matching Biggest Common Factor Method
Now, list down the factors of 3020
:1,2,4,5,10,20,151,302,604,755,1510,3020
Now, list down the factors of 6068
:1,2,4,37,41,74,82,148,164,1517,3034,6068
Greatest Common Factor
We found the factors 3020,6068 . The biggest common factor number is the GCF number.
So the greatest common factor 3020,6068 is 4.
Lets's calculate LCM of 290,5436
| 2 | 290, 5436 |
| 145, 2718 |
∴ So the LCM of the given numbers is 2 x 145 x 2718 = 788220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/788220
Therefore, the GCF of Fractions 3020/290,6068/5436 is 4/788220
Least Common Multiple of 290,5436 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 290,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,5436) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,5436) x common factors =2 x 1 = 2
LCM(290,5436) = ( 290 × 5436 ) / 2
LCM(290,5436) = 1576440 / 2
LCM(290,5436) = 788220
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FAQs on GCF of Fractions of 3020/290, 6068/5436
1. What is the HCF of 3020,6068?
The HCF of 3020,6068 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 3020/290, 6068/5436?
Answer: GCF of Numerators as per given numbers 3020/290, 6068/5436 is
GCF of Numerators i.e. for 3020,6068 is 4
LCM of denominators i.e. for 290,5436 is 788220.
Thus, GCF of Fractions is 4/788220.Finally, GCF of Fractions for 3020/290, 6068/5436 is 4/788220.