GCF of 6128/504, 9257/8550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6128/504, 9257/8550 i.e 1/239400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6128/504, 9257/8550.
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 6128/504,9257/8550?
Given fractions are 6128/504,9257/8550
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 6128/504,9257/8550, numerators are 6128,9257
Denominators are 504,8550
The GCF of 6128,9257 is 1 .
LCM of 504,8550 is 239400.
The greatest common factor of 6128/504,9257/8550 = [GCF of 6128,9257]/[LCM of 504,8550]= 1/239400
Therefore, the GCF of 6128/504,9257/8550 is 1/239400.
To find the highest common factor of 6128,9257, we have to find the factors of both numbers and list the highest common factor.
The factors of 6128 are 1, 2, 4, 8, 16, 383, 766, 1532, 3064, 6128
The factors of 9257 are 1, 9257
The HCF of 6128,9257 is 1.
Lets's calculate GCF of 6128,9257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6128,9257 By Matching Biggest Common Factor Method
Now, list down the factors of 6128
:1,2,4,8,16,383,766,1532,3064,6128
Now, list down the factors of 9257
:1,9257
Greatest Common Factor
We found the factors 6128,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 6128,9257 is 1.
Lets's calculate LCM of 504,8550
| 2 | 504, 8550 |
| 3 | 252, 4275 |
| 3 | 84, 1425 |
| 28, 475 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 28 x 475 = 239400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239400
Therefore, the GCF of Fractions 6128/504,9257/8550 is 1/239400
Least Common Multiple of 504,8550 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 504,8550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,8550) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(504,8550) x common factors =18 x 1 = 18
LCM(504,8550) = ( 504 × 8550 ) / 18
LCM(504,8550) = 4309200 / 18
LCM(504,8550) = 239400
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FAQs on GCF of Fractions of 6128/504, 9257/8550
1. What is the HCF of 6128,9257?
The HCF of 6128,9257 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 6128/504, 9257/8550?
Answer: GCF of Numerators as per given numbers 6128/504, 9257/8550 is
GCF of Numerators i.e. for 6128,9257 is 1
LCM of denominators i.e. for 504,8550 is 239400.
Thus, GCF of Fractions is 1/239400.Finally, GCF of Fractions for 6128/504, 9257/8550 is 1/239400.