GCF of 6551/124, 6333/2438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6551/124, 6333/2438 i.e 1/151156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6551/124, 6333/2438.
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 6551/124,6333/2438?
Given fractions are 6551/124,6333/2438
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 6551/124,6333/2438, numerators are 6551,6333
Denominators are 124,2438
The GCF of 6551,6333 is 1 .
LCM of 124,2438 is 151156.
The greatest common factor of 6551/124,6333/2438 = [GCF of 6551,6333]/[LCM of 124,2438]= 1/151156
Therefore, the GCF of 6551/124,6333/2438 is 1/151156.
To find the highest common factor of 6551,6333, we have to find the factors of both numbers and list the highest common factor.
The factors of 6551 are 1, 6551
The factors of 6333 are 1, 3, 2111, 6333
The HCF of 6551,6333 is 1.
Lets's calculate GCF of 6551,6333
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6551,6333 By Matching Biggest Common Factor Method
Now, list down the factors of 6551
:1,6551
Now, list down the factors of 6333
:1,3,2111,6333
Greatest Common Factor
We found the factors 6551,6333 . The biggest common factor number is the GCF number.
So the greatest common factor 6551,6333 is 1.
Lets's calculate LCM of 124,2438
| 2 | 124, 2438 |
| 62, 1219 |
∴ So the LCM of the given numbers is 2 x 62 x 1219 = 151156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151156
Therefore, the GCF of Fractions 6551/124,6333/2438 is 1/151156
Least Common Multiple of 124,2438 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 124,2438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,2438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,2438) x common factors =2 x 1 = 2
LCM(124,2438) = ( 124 × 2438 ) / 2
LCM(124,2438) = 302312 / 2
LCM(124,2438) = 151156
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FAQs on GCF of Fractions of 6551/124, 6333/2438
1. What is the HCF of 6551,6333?
The HCF of 6551,6333 is 1
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 6551/124, 6333/2438?
Answer: GCF of Numerators as per given numbers 6551/124, 6333/2438 is
GCF of Numerators i.e. for 6551,6333 is 1
LCM of denominators i.e. for 124,2438 is 151156.
Thus, GCF of Fractions is 1/151156.Finally, GCF of Fractions for 6551/124, 6333/2438 is 1/151156.