GCF of 7661/861, 7170/9627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7661/861, 7170/9627 i.e 1/2762949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7661/861, 7170/9627.
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 7661/861,7170/9627?
Given fractions are 7661/861,7170/9627
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 7661/861,7170/9627, numerators are 7661,7170
Denominators are 861,9627
The GCF of 7661,7170 is 1 .
LCM of 861,9627 is 2762949.
The greatest common factor of 7661/861,7170/9627 = [GCF of 7661,7170]/[LCM of 861,9627]= 1/2762949
Therefore, the GCF of 7661/861,7170/9627 is 1/2762949.
To find the highest common factor of 7661,7170, we have to find the factors of both numbers and list the highest common factor.
The factors of 7661 are 1, 47, 163, 7661
The factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170
The HCF of 7661,7170 is 1.
Lets's calculate GCF of 7661,7170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7661,7170 By Matching Biggest Common Factor Method
Now, list down the factors of 7661
:1,47,163,7661
Now, list down the factors of 7170
:1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170
Greatest Common Factor
We found the factors 7661,7170 . The biggest common factor number is the GCF number.
So the greatest common factor 7661,7170 is 1.
Lets's calculate LCM of 861,9627
| 3 | 861, 9627 |
| 287, 3209 |
∴ So the LCM of the given numbers is 3 x 287 x 3209 = 2762949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2762949
Therefore, the GCF of Fractions 7661/861,7170/9627 is 1/2762949
Least Common Multiple of 861,9627 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 861,9627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,9627) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,9627) x common factors =3 x 1 = 3
LCM(861,9627) = ( 861 × 9627 ) / 3
LCM(861,9627) = 8288847 / 3
LCM(861,9627) = 2762949
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FAQs on GCF of Fractions of 7661/861, 7170/9627
1. What is the HCF of 7661,7170?
The HCF of 7661,7170 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 7661/861, 7170/9627?
Answer: GCF of Numerators as per given numbers 7661/861, 7170/9627 is
GCF of Numerators i.e. for 7661,7170 is 1
LCM of denominators i.e. for 861,9627 is 2762949.
Thus, GCF of Fractions is 1/2762949.Finally, GCF of Fractions for 7661/861, 7170/9627 is 1/2762949.