GCF of 6021/624, 1521/7154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6021/624, 1521/7154 i.e 9/2232048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6021/624, 1521/7154.
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 6021/624,1521/7154?
Given fractions are 6021/624,1521/7154
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 6021/624,1521/7154, numerators are 6021,1521
Denominators are 624,7154
The GCF of 6021,1521 is 9 .
LCM of 624,7154 is 2232048.
The greatest common factor of 6021/624,1521/7154 = [GCF of 6021,1521]/[LCM of 624,7154]= 9/2232048
Therefore, the GCF of 6021/624,1521/7154 is 9/2232048.
To find the highest common factor of 6021,1521, we have to find the factors of both numbers and list the highest common factor.
The factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021
The factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521
The HCF of 6021,1521 is 9.
Lets's calculate GCF of 6021,1521
| 3 | 6021, 1521 |
| 3 | 2007, 507 |
| 669, 169 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6021,1521 By Matching Biggest Common Factor Method
Now, list down the factors of 6021
:1,3,9,27,223,669,2007,6021
Now, list down the factors of 1521
:1,3,9,13,39,117,169,507,1521
Greatest Common Factor
We found the factors 6021,1521 . The biggest common factor number is the GCF number.
So the greatest common factor 6021,1521 is 9.
Lets's calculate LCM of 624,7154
| 2 | 624, 7154 |
| 312, 3577 |
∴ So the LCM of the given numbers is 2 x 312 x 3577 = 2232048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2232048
Therefore, the GCF of Fractions 6021/624,1521/7154 is 9/2232048
Least Common Multiple of 624,7154 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 624,7154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,7154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(624,7154) x common factors =2 x 1 = 2
LCM(624,7154) = ( 624 × 7154 ) / 2
LCM(624,7154) = 4464096 / 2
LCM(624,7154) = 2232048
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FAQs on GCF of Fractions of 6021/624, 1521/7154
1. What is the HCF of 6021,1521?
The HCF of 6021,1521 is 9
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 6021/624, 1521/7154?
Answer: GCF of Numerators as per given numbers 6021/624, 1521/7154 is
GCF of Numerators i.e. for 6021,1521 is 9
LCM of denominators i.e. for 624,7154 is 2232048.
Thus, GCF of Fractions is 9/2232048.Finally, GCF of Fractions for 6021/624, 1521/7154 is 9/2232048.