GCF of 6021/927, 9129/628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6021/927, 9129/628 i.e 3/582156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6021/927, 9129/628.
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 6021/927,9129/628?
Given fractions are 6021/927,9129/628
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 6021/927,9129/628, numerators are 6021,9129
Denominators are 927,628
The GCF of 6021,9129 is 3 .
LCM of 927,628 is 582156.
The greatest common factor of 6021/927,9129/628 = [GCF of 6021,9129]/[LCM of 927,628]= 3/582156
Therefore, the GCF of 6021/927,9129/628 is 3/582156.
To find the highest common factor of 6021,9129, 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 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129
The HCF of 6021,9129 is 3.
Lets's calculate GCF of 6021,9129
| 3 | 6021, 9129 |
| 2007, 3043 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6021,9129 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 9129
:1,3,17,51,179,537,3043,9129
Greatest Common Factor
We found the factors 6021,9129 . The biggest common factor number is the GCF number.
So the greatest common factor 6021,9129 is 3.
Lets's calculate LCM of 927,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 582156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/582156
Therefore, the GCF of Fractions 6021/927,9129/628 is 3/582156
Least Common Multiple of 927,628 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 927,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,628) x common factors =1 x 1 = 1
LCM(927,628) = ( 927 × 628 ) / 1
LCM(927,628) = 582156 / 1
LCM(927,628) = 582156
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6021/927, 9129/628
1. What is the HCF of 6021,9129?
The HCF of 6021,9129 is 3
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 6021/927, 9129/628?
Answer: GCF of Numerators as per given numbers 6021/927, 9129/628 is
GCF of Numerators i.e. for 6021,9129 is 3
LCM of denominators i.e. for 927,628 is 582156.
Thus, GCF of Fractions is 3/582156.Finally, GCF of Fractions for 6021/927, 9129/628 is 3/582156.