GCF of 1350/552, 9505/8978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1350/552, 9505/8978 i.e 5/2477928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1350/552, 9505/8978.
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 1350/552,9505/8978?
Given fractions are 1350/552,9505/8978
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 1350/552,9505/8978, numerators are 1350,9505
Denominators are 552,8978
The GCF of 1350,9505 is 5 .
LCM of 552,8978 is 2477928.
The greatest common factor of 1350/552,9505/8978 = [GCF of 1350,9505]/[LCM of 552,8978]= 5/2477928
Therefore, the GCF of 1350/552,9505/8978 is 5/2477928.
To find the highest common factor of 1350,9505, we have to find the factors of both numbers and list the highest common factor.
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
The factors of 9505 are 1, 5, 1901, 9505
The HCF of 1350,9505 is 5.
Lets's calculate GCF of 1350,9505
| 5 | 1350, 9505 |
| 270, 1901 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1350,9505 By Matching Biggest Common Factor Method
Now, list down the factors of 1350
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Now, list down the factors of 9505
:1,5,1901,9505
Greatest Common Factor
We found the factors 1350,9505 . The biggest common factor number is the GCF number.
So the greatest common factor 1350,9505 is 5.
Lets's calculate LCM of 552,8978
| 2 | 552, 8978 |
| 276, 4489 |
∴ So the LCM of the given numbers is 2 x 276 x 4489 = 2477928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2477928
Therefore, the GCF of Fractions 1350/552,9505/8978 is 5/2477928
Least Common Multiple of 552,8978 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 552,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,8978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(552,8978) x common factors =2 x 1 = 2
LCM(552,8978) = ( 552 × 8978 ) / 2
LCM(552,8978) = 4955856 / 2
LCM(552,8978) = 2477928
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FAQs on GCF of Fractions of 1350/552, 9505/8978
1. What is the HCF of 1350,9505?
The HCF of 1350,9505 is 5
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 1350/552, 9505/8978?
Answer: GCF of Numerators as per given numbers 1350/552, 9505/8978 is
GCF of Numerators i.e. for 1350,9505 is 5
LCM of denominators i.e. for 552,8978 is 2477928.
Thus, GCF of Fractions is 5/2477928.Finally, GCF of Fractions for 1350/552, 9505/8978 is 5/2477928.