GCF of 6133/756, 8695/9444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6133/756, 8695/9444 i.e 1/594972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6133/756, 8695/9444.
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 6133/756,8695/9444?
Given fractions are 6133/756,8695/9444
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 6133/756,8695/9444, numerators are 6133,8695
Denominators are 756,9444
The GCF of 6133,8695 is 1 .
LCM of 756,9444 is 594972.
The greatest common factor of 6133/756,8695/9444 = [GCF of 6133,8695]/[LCM of 756,9444]= 1/594972
Therefore, the GCF of 6133/756,8695/9444 is 1/594972.
To find the highest common factor of 6133,8695, we have to find the factors of both numbers and list the highest common factor.
The factors of 6133 are 1, 6133
The factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695
The HCF of 6133,8695 is 1.
Lets's calculate GCF of 6133,8695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6133,8695 By Matching Biggest Common Factor Method
Now, list down the factors of 6133
:1,6133
Now, list down the factors of 8695
:1,5,37,47,185,235,1739,8695
Greatest Common Factor
We found the factors 6133,8695 . The biggest common factor number is the GCF number.
So the greatest common factor 6133,8695 is 1.
Lets's calculate LCM of 756,9444
| 2 | 756, 9444 |
| 2 | 378, 4722 |
| 3 | 189, 2361 |
| 63, 787 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 63 x 787 = 594972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594972
Therefore, the GCF of Fractions 6133/756,8695/9444 is 1/594972
Least Common Multiple of 756,9444 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 756,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,9444) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(756,9444) x common factors =12 x 1 = 12
LCM(756,9444) = ( 756 × 9444 ) / 12
LCM(756,9444) = 7139664 / 12
LCM(756,9444) = 594972
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FAQs on GCF of Fractions of 6133/756, 8695/9444
1. What is the HCF of 6133,8695?
The HCF of 6133,8695 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 6133/756, 8695/9444?
Answer: GCF of Numerators as per given numbers 6133/756, 8695/9444 is
GCF of Numerators i.e. for 6133,8695 is 1
LCM of denominators i.e. for 756,9444 is 594972.
Thus, GCF of Fractions is 1/594972.Finally, GCF of Fractions for 6133/756, 8695/9444 is 1/594972.