GCF of 6051/322, 1548/190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6051/322, 1548/190 i.e 3/30590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6051/322, 1548/190.
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 6051/322,1548/190?
Given fractions are 6051/322,1548/190
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 6051/322,1548/190, numerators are 6051,1548
Denominators are 322,190
The GCF of 6051,1548 is 3 .
LCM of 322,190 is 30590.
The greatest common factor of 6051/322,1548/190 = [GCF of 6051,1548]/[LCM of 322,190]= 3/30590
Therefore, the GCF of 6051/322,1548/190 is 3/30590.
To find the highest common factor of 6051,1548, we have to find the factors of both numbers and list the highest common factor.
The factors of 6051 are 1, 3, 2017, 6051
The factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548
The HCF of 6051,1548 is 3.
Lets's calculate GCF of 6051,1548
| 3 | 6051, 1548 |
| 2017, 516 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6051,1548 By Matching Biggest Common Factor Method
Now, list down the factors of 6051
:1,3,2017,6051
Now, list down the factors of 1548
:1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Greatest Common Factor
We found the factors 6051,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 6051,1548 is 3.
Lets's calculate LCM of 322,190
| 2 | 322, 190 |
| 161, 95 |
∴ So the LCM of the given numbers is 2 x 161 x 95 = 30590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30590
Therefore, the GCF of Fractions 6051/322,1548/190 is 3/30590
Least Common Multiple of 322,190 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 322,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,190) x common factors =2 x 1 = 2
LCM(322,190) = ( 322 × 190 ) / 2
LCM(322,190) = 61180 / 2
LCM(322,190) = 30590
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FAQs on GCF of Fractions of 6051/322, 1548/190
1. What is the HCF of 6051,1548?
The HCF of 6051,1548 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 6051/322, 1548/190?
Answer: GCF of Numerators as per given numbers 6051/322, 1548/190 is
GCF of Numerators i.e. for 6051,1548 is 3
LCM of denominators i.e. for 322,190 is 30590.
Thus, GCF of Fractions is 3/30590.Finally, GCF of Fractions for 6051/322, 1548/190 is 3/30590.