GCF of 9293/780, 4556/5128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9293/780, 4556/5128 i.e 1/999960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9293/780, 4556/5128.
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 9293/780,4556/5128?
Given fractions are 9293/780,4556/5128
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 9293/780,4556/5128, numerators are 9293,4556
Denominators are 780,5128
The GCF of 9293,4556 is 1 .
LCM of 780,5128 is 999960.
The greatest common factor of 9293/780,4556/5128 = [GCF of 9293,4556]/[LCM of 780,5128]= 1/999960
Therefore, the GCF of 9293/780,4556/5128 is 1/999960.
To find the highest common factor of 9293,4556, we have to find the factors of both numbers and list the highest common factor.
The factors of 9293 are 1, 9293
The factors of 4556 are 1, 2, 4, 17, 34, 67, 68, 134, 268, 1139, 2278, 4556
The HCF of 9293,4556 is 1.
Lets's calculate GCF of 9293,4556
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9293,4556 By Matching Biggest Common Factor Method
Now, list down the factors of 9293
:1,9293
Now, list down the factors of 4556
:1,2,4,17,34,67,68,134,268,1139,2278,4556
Greatest Common Factor
We found the factors 9293,4556 . The biggest common factor number is the GCF number.
So the greatest common factor 9293,4556 is 1.
Lets's calculate LCM of 780,5128
| 2 | 780, 5128 |
| 2 | 390, 2564 |
| 195, 1282 |
∴ So the LCM of the given numbers is 2 x 2 x 195 x 1282 = 999960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/999960
Therefore, the GCF of Fractions 9293/780,4556/5128 is 1/999960
Least Common Multiple of 780,5128 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 780,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,5128) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(780,5128) x common factors =4 x 1 = 4
LCM(780,5128) = ( 780 × 5128 ) / 4
LCM(780,5128) = 3999840 / 4
LCM(780,5128) = 999960
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FAQs on GCF of Fractions of 9293/780, 4556/5128
1. What is the HCF of 9293,4556?
The HCF of 9293,4556 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 9293/780, 4556/5128?
Answer: GCF of Numerators as per given numbers 9293/780, 4556/5128 is
GCF of Numerators i.e. for 9293,4556 is 1
LCM of denominators i.e. for 780,5128 is 999960.
Thus, GCF of Fractions is 1/999960.Finally, GCF of Fractions for 9293/780, 4556/5128 is 1/999960.