GCF of 6025/888, 9423/528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6025/888, 9423/528 i.e 1/19536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6025/888, 9423/528.
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 6025/888,9423/528?
Given fractions are 6025/888,9423/528
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 6025/888,9423/528, numerators are 6025,9423
Denominators are 888,528
The GCF of 6025,9423 is 1 .
LCM of 888,528 is 19536.
The greatest common factor of 6025/888,9423/528 = [GCF of 6025,9423]/[LCM of 888,528]= 1/19536
Therefore, the GCF of 6025/888,9423/528 is 1/19536.
To find the highest common factor of 6025,9423, we have to find the factors of both numbers and list the highest common factor.
The factors of 6025 are 1, 5, 25, 241, 1205, 6025
The factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423
The HCF of 6025,9423 is 1.
Lets's calculate GCF of 6025,9423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6025,9423 By Matching Biggest Common Factor Method
Now, list down the factors of 6025
:1,5,25,241,1205,6025
Now, list down the factors of 9423
:1,3,9,27,349,1047,3141,9423
Greatest Common Factor
We found the factors 6025,9423 . The biggest common factor number is the GCF number.
So the greatest common factor 6025,9423 is 1.
Lets's calculate LCM of 888,528
| 2 | 888, 528 |
| 2 | 444, 264 |
| 2 | 222, 132 |
| 3 | 111, 66 |
| 37, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 22 = 19536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19536
Therefore, the GCF of Fractions 6025/888,9423/528 is 1/19536
Least Common Multiple of 888,528 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 888,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,528) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(888,528) x common factors =24 x 1 = 24
LCM(888,528) = ( 888 × 528 ) / 24
LCM(888,528) = 468864 / 24
LCM(888,528) = 19536
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FAQs on GCF of Fractions of 6025/888, 9423/528
1. What is the HCF of 6025,9423?
The HCF of 6025,9423 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 6025/888, 9423/528?
Answer: GCF of Numerators as per given numbers 6025/888, 9423/528 is
GCF of Numerators i.e. for 6025,9423 is 1
LCM of denominators i.e. for 888,528 is 19536.
Thus, GCF of Fractions is 1/19536.Finally, GCF of Fractions for 6025/888, 9423/528 is 1/19536.