GCF of 6063/123, 7191/630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6063/123, 7191/630 i.e 141/25830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6063/123, 7191/630.
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 6063/123,7191/630?
Given fractions are 6063/123,7191/630
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 6063/123,7191/630, numerators are 6063,7191
Denominators are 123,630
The GCF of 6063,7191 is 141 .
LCM of 123,630 is 25830.
The greatest common factor of 6063/123,7191/630 = [GCF of 6063,7191]/[LCM of 123,630]= 141/25830
Therefore, the GCF of 6063/123,7191/630 is 141/25830.
To find the highest common factor of 6063,7191, we have to find the factors of both numbers and list the highest common factor.
The factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063
The factors of 7191 are 1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191
The HCF of 6063,7191 is 141.
Lets's calculate GCF of 6063,7191
| 3 | 6063, 7191 |
| 47 | 2021, 2397 |
| 43, 51 |
∴ So the GCF of the given numbers is 3 x 47 = 141
Greatest Common Factor of 6063,7191 By Matching Biggest Common Factor Method
Now, list down the factors of 6063
:1,3,43,47,129,141,2021,6063
Now, list down the factors of 7191
:1,3,9,17,47,51,141,153,423,799,2397,7191
Greatest Common Factor
We found the factors 6063,7191 . The biggest common factor number is the GCF number.
So the greatest common factor 6063,7191 is 141.
Lets's calculate LCM of 123,630
| 3 | 123, 630 |
| 41, 210 |
∴ So the LCM of the given numbers is 3 x 41 x 210 = 25830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 141/25830
Therefore, the GCF of Fractions 6063/123,7191/630 is 141/25830
Least Common Multiple of 123,630 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 123,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,630) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,630) x common factors =3 x 1 = 3
LCM(123,630) = ( 123 × 630 ) / 3
LCM(123,630) = 77490 / 3
LCM(123,630) = 25830
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FAQs on GCF of Fractions of 6063/123, 7191/630
1. What is the HCF of 6063,7191?
The HCF of 6063,7191 is 141
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 6063/123, 7191/630?
Answer: GCF of Numerators as per given numbers 6063/123, 7191/630 is
GCF of Numerators i.e. for 6063,7191 is 141
LCM of denominators i.e. for 123,630 is 25830.
Thus, GCF of Fractions is 141/25830.Finally, GCF of Fractions for 6063/123, 7191/630 is 141/25830.