GCF of 9639/163, 5372/929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9639/163, 5372/929 i.e 17/151427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9639/163, 5372/929.
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 9639/163,5372/929?
Given fractions are 9639/163,5372/929
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 9639/163,5372/929, numerators are 9639,5372
Denominators are 163,929
The GCF of 9639,5372 is 17 .
LCM of 163,929 is 151427.
The greatest common factor of 9639/163,5372/929 = [GCF of 9639,5372]/[LCM of 163,929]= 17/151427
Therefore, the GCF of 9639/163,5372/929 is 17/151427.
To find the highest common factor of 9639,5372, we have to find the factors of both numbers and list the highest common factor.
The factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639
The factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372
The HCF of 9639,5372 is 17.
Lets's calculate GCF of 9639,5372
| 17 | 9639, 5372 |
| 567, 316 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 9639,5372 By Matching Biggest Common Factor Method
Now, list down the factors of 9639
:1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639
Now, list down the factors of 5372
:1,2,4,17,34,68,79,158,316,1343,2686,5372
Greatest Common Factor
We found the factors 9639,5372 . The biggest common factor number is the GCF number.
So the greatest common factor 9639,5372 is 17.
Lets's calculate LCM of 163,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 151427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/151427
Therefore, the GCF of Fractions 9639/163,5372/929 is 17/151427
Least Common Multiple of 163,929 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 163,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,929) x common factors =1 x 1 = 1
LCM(163,929) = ( 163 × 929 ) / 1
LCM(163,929) = 151427 / 1
LCM(163,929) = 151427
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FAQs on GCF of Fractions of 9639/163, 5372/929
1. What is the HCF of 9639,5372?
The HCF of 9639,5372 is 17
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 9639/163, 5372/929?
Answer: GCF of Numerators as per given numbers 9639/163, 5372/929 is
GCF of Numerators i.e. for 9639,5372 is 17
LCM of denominators i.e. for 163,929 is 151427.
Thus, GCF of Fractions is 17/151427.Finally, GCF of Fractions for 9639/163, 5372/929 is 17/151427.