GCF of 9567/276, 9505/6153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9567/276, 9505/6153 i.e 1/566076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9567/276, 9505/6153.
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 9567/276,9505/6153?
Given fractions are 9567/276,9505/6153
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 9567/276,9505/6153, numerators are 9567,9505
Denominators are 276,6153
The GCF of 9567,9505 is 1 .
LCM of 276,6153 is 566076.
The greatest common factor of 9567/276,9505/6153 = [GCF of 9567,9505]/[LCM of 276,6153]= 1/566076
Therefore, the GCF of 9567/276,9505/6153 is 1/566076.
To find the highest common factor of 9567,9505, we have to find the factors of both numbers and list the highest common factor.
The factors of 9567 are 1, 3, 9, 1063, 3189, 9567
The factors of 9505 are 1, 5, 1901, 9505
The HCF of 9567,9505 is 1.
Lets's calculate GCF of 9567,9505
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9567,9505 By Matching Biggest Common Factor Method
Now, list down the factors of 9567
:1,3,9,1063,3189,9567
Now, list down the factors of 9505
:1,5,1901,9505
Greatest Common Factor
We found the factors 9567,9505 . The biggest common factor number is the GCF number.
So the greatest common factor 9567,9505 is 1.
Lets's calculate LCM of 276,6153
| 3 | 276, 6153 |
| 92, 2051 |
∴ So the LCM of the given numbers is 3 x 92 x 2051 = 566076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/566076
Therefore, the GCF of Fractions 9567/276,9505/6153 is 1/566076
Least Common Multiple of 276,6153 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 276,6153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,6153) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(276,6153) x common factors =3 x 1 = 3
LCM(276,6153) = ( 276 × 6153 ) / 3
LCM(276,6153) = 1698228 / 3
LCM(276,6153) = 566076
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FAQs on GCF of Fractions of 9567/276, 9505/6153
1. What is the HCF of 9567,9505?
The HCF of 9567,9505 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 9567/276, 9505/6153?
Answer: GCF of Numerators as per given numbers 9567/276, 9505/6153 is
GCF of Numerators i.e. for 9567,9505 is 1
LCM of denominators i.e. for 276,6153 is 566076.
Thus, GCF of Fractions is 1/566076.Finally, GCF of Fractions for 9567/276, 9505/6153 is 1/566076.