GCF of 9617/636, 9832/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9617/636, 9832/574 i.e 1/182532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9617/636, 9832/574.
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 9617/636,9832/574?
Given fractions are 9617/636,9832/574
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 9617/636,9832/574, numerators are 9617,9832
Denominators are 636,574
The GCF of 9617,9832 is 1 .
LCM of 636,574 is 182532.
The greatest common factor of 9617/636,9832/574 = [GCF of 9617,9832]/[LCM of 636,574]= 1/182532
Therefore, the GCF of 9617/636,9832/574 is 1/182532.
To find the highest common factor of 9617,9832, we have to find the factors of both numbers and list the highest common factor.
The factors of 9617 are 1, 59, 163, 9617
The factors of 9832 are 1, 2, 4, 8, 1229, 2458, 4916, 9832
The HCF of 9617,9832 is 1.
Lets's calculate GCF of 9617,9832
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9617,9832 By Matching Biggest Common Factor Method
Now, list down the factors of 9617
:1,59,163,9617
Now, list down the factors of 9832
:1,2,4,8,1229,2458,4916,9832
Greatest Common Factor
We found the factors 9617,9832 . The biggest common factor number is the GCF number.
So the greatest common factor 9617,9832 is 1.
Lets's calculate LCM of 636,574
| 2 | 636, 574 |
| 318, 287 |
∴ So the LCM of the given numbers is 2 x 318 x 287 = 182532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182532
Therefore, the GCF of Fractions 9617/636,9832/574 is 1/182532
Least Common Multiple of 636,574 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 636,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(636,574) x common factors =2 x 1 = 2
LCM(636,574) = ( 636 × 574 ) / 2
LCM(636,574) = 365064 / 2
LCM(636,574) = 182532
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FAQs on GCF of Fractions of 9617/636, 9832/574
1. What is the HCF of 9617,9832?
The HCF of 9617,9832 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 9617/636, 9832/574?
Answer: GCF of Numerators as per given numbers 9617/636, 9832/574 is
GCF of Numerators i.e. for 9617,9832 is 1
LCM of denominators i.e. for 636,574 is 182532.
Thus, GCF of Fractions is 1/182532.Finally, GCF of Fractions for 9617/636, 9832/574 is 1/182532.