GCF of 612/132, 9617/710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 612/132, 9617/710 i.e 1/46860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 612/132, 9617/710.
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 612/132,9617/710?
Given fractions are 612/132,9617/710
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 612/132,9617/710, numerators are 612,9617
Denominators are 132,710
The GCF of 612,9617 is 1 .
LCM of 132,710 is 46860.
The greatest common factor of 612/132,9617/710 = [GCF of 612,9617]/[LCM of 132,710]= 1/46860
Therefore, the GCF of 612/132,9617/710 is 1/46860.
To find the highest common factor of 612,9617, we have to find the factors of both numbers and list the highest common factor.
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The factors of 9617 are 1, 59, 163, 9617
The HCF of 612,9617 is 1.
Lets's calculate GCF of 612,9617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 612,9617 By Matching Biggest Common Factor Method
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Now, list down the factors of 9617
:1,59,163,9617
Greatest Common Factor
We found the factors 612,9617 . The biggest common factor number is the GCF number.
So the greatest common factor 612,9617 is 1.
Lets's calculate LCM of 132,710
| 2 | 132, 710 |
| 66, 355 |
∴ So the LCM of the given numbers is 2 x 66 x 355 = 46860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46860
Therefore, the GCF of Fractions 612/132,9617/710 is 1/46860
Least Common Multiple of 132,710 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 132,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(132,710) x common factors =2 x 1 = 2
LCM(132,710) = ( 132 × 710 ) / 2
LCM(132,710) = 93720 / 2
LCM(132,710) = 46860
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FAQs on GCF of Fractions of 612/132, 9617/710
1. What is the HCF of 612,9617?
The HCF of 612,9617 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 612/132, 9617/710?
Answer: GCF of Numerators as per given numbers 612/132, 9617/710 is
GCF of Numerators i.e. for 612,9617 is 1
LCM of denominators i.e. for 132,710 is 46860.
Thus, GCF of Fractions is 1/46860.Finally, GCF of Fractions for 612/132, 9617/710 is 1/46860.