GCF of 9936/406, 6567/7961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9936/406, 6567/7961 i.e 3/3232166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9936/406, 6567/7961.
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 9936/406,6567/7961?
Given fractions are 9936/406,6567/7961
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 9936/406,6567/7961, numerators are 9936,6567
Denominators are 406,7961
The GCF of 9936,6567 is 3 .
LCM of 406,7961 is 3232166.
The greatest common factor of 9936/406,6567/7961 = [GCF of 9936,6567]/[LCM of 406,7961]= 3/3232166
Therefore, the GCF of 9936/406,6567/7961 is 3/3232166.
To find the highest common factor of 9936,6567, we have to find the factors of both numbers and list the highest common factor.
The factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The HCF of 9936,6567 is 3.
Lets's calculate GCF of 9936,6567
| 3 | 9936, 6567 |
| 3312, 2189 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9936,6567 By Matching Biggest Common Factor Method
Now, list down the factors of 9936
:1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Greatest Common Factor
We found the factors 9936,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 9936,6567 is 3.
Lets's calculate LCM of 406,7961
Given numbers has no common factors except 1. So, there LCM is their product i.e 3232166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3232166
Therefore, the GCF of Fractions 9936/406,6567/7961 is 3/3232166
Least Common Multiple of 406,7961 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 406,7961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,7961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,7961) x common factors =1 x 1 = 1
LCM(406,7961) = ( 406 × 7961 ) / 1
LCM(406,7961) = 3232166 / 1
LCM(406,7961) = 3232166
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FAQs on GCF of Fractions of 9936/406, 6567/7961
1. What is the HCF of 9936,6567?
The HCF of 9936,6567 is 3
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 9936/406, 6567/7961?
Answer: GCF of Numerators as per given numbers 9936/406, 6567/7961 is
GCF of Numerators i.e. for 9936,6567 is 3
LCM of denominators i.e. for 406,7961 is 3232166.
Thus, GCF of Fractions is 3/3232166.Finally, GCF of Fractions for 9936/406, 6567/7961 is 3/3232166.