GCF of 6108/24, 7563/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6108/24, 7563/400 i.e 3/1200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6108/24, 7563/400.
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 6108/24,7563/400?
Given fractions are 6108/24,7563/400
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 6108/24,7563/400, numerators are 6108,7563
Denominators are 24,400
The GCF of 6108,7563 is 3 .
LCM of 24,400 is 1200.
The greatest common factor of 6108/24,7563/400 = [GCF of 6108,7563]/[LCM of 24,400]= 3/1200
Therefore, the GCF of 6108/24,7563/400 is 3/1200.
To find the highest common factor of 6108,7563, we have to find the factors of both numbers and list the highest common factor.
The factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108
The factors of 7563 are 1, 3, 2521, 7563
The HCF of 6108,7563 is 3.
Lets's calculate GCF of 6108,7563
| 3 | 6108, 7563 |
| 2036, 2521 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6108,7563 By Matching Biggest Common Factor Method
Now, list down the factors of 6108
:1,2,3,4,6,12,509,1018,1527,2036,3054,6108
Now, list down the factors of 7563
:1,3,2521,7563
Greatest Common Factor
We found the factors 6108,7563 . The biggest common factor number is the GCF number.
So the greatest common factor 6108,7563 is 3.
Lets's calculate LCM of 24,400
| 2 | 24, 400 |
| 2 | 12, 200 |
| 2 | 6, 100 |
| 3, 50 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 50 = 1200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1200
Therefore, the GCF of Fractions 6108/24,7563/400 is 3/1200
Least Common Multiple of 24,400 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 24,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,400) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(24,400) x common factors =8 x 1 = 8
LCM(24,400) = ( 24 × 400 ) / 8
LCM(24,400) = 9600 / 8
LCM(24,400) = 1200
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FAQs on GCF of Fractions of 6108/24, 7563/400
1. What is the HCF of 6108,7563?
The HCF of 6108,7563 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 6108/24, 7563/400?
Answer: GCF of Numerators as per given numbers 6108/24, 7563/400 is
GCF of Numerators i.e. for 6108,7563 is 3
LCM of denominators i.e. for 24,400 is 1200.
Thus, GCF of Fractions is 3/1200.Finally, GCF of Fractions for 6108/24, 7563/400 is 3/1200.