GCF of 9254/443, 6512/9580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9254/443, 6512/9580 i.e 2/4243940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9254/443, 6512/9580.
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 9254/443,6512/9580?
Given fractions are 9254/443,6512/9580
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 9254/443,6512/9580, numerators are 9254,6512
Denominators are 443,9580
The GCF of 9254,6512 is 2 .
LCM of 443,9580 is 4243940.
The greatest common factor of 9254/443,6512/9580 = [GCF of 9254,6512]/[LCM of 443,9580]= 2/4243940
Therefore, the GCF of 9254/443,6512/9580 is 2/4243940.
To find the highest common factor of 9254,6512, we have to find the factors of both numbers and list the highest common factor.
The factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254
The factors of 6512 are 1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512
The HCF of 9254,6512 is 2.
Lets's calculate GCF of 9254,6512
| 2 | 9254, 6512 |
| 4627, 3256 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9254,6512 By Matching Biggest Common Factor Method
Now, list down the factors of 9254
:1,2,7,14,661,1322,4627,9254
Now, list down the factors of 6512
:1,2,4,8,11,16,22,37,44,74,88,148,176,296,407,592,814,1628,3256,6512
Greatest Common Factor
We found the factors 9254,6512 . The biggest common factor number is the GCF number.
So the greatest common factor 9254,6512 is 2.
Lets's calculate LCM of 443,9580
Given numbers has no common factors except 1. So, there LCM is their product i.e 4243940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4243940
Therefore, the GCF of Fractions 9254/443,6512/9580 is 2/4243940
Least Common Multiple of 443,9580 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 443,9580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,9580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,9580) x common factors =1 x 1 = 1
LCM(443,9580) = ( 443 × 9580 ) / 1
LCM(443,9580) = 4243940 / 1
LCM(443,9580) = 4243940
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FAQs on GCF of Fractions of 9254/443, 6512/9580
1. What is the HCF of 9254,6512?
The HCF of 9254,6512 is 2
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 9254/443, 6512/9580?
Answer: GCF of Numerators as per given numbers 9254/443, 6512/9580 is
GCF of Numerators i.e. for 9254,6512 is 2
LCM of denominators i.e. for 443,9580 is 4243940.
Thus, GCF of Fractions is 2/4243940.Finally, GCF of Fractions for 9254/443, 6512/9580 is 2/4243940.