GCF of 9906/266, 9186/7777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9906/266, 9186/7777 i.e 6/295526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9906/266, 9186/7777.
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 9906/266,9186/7777?
Given fractions are 9906/266,9186/7777
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 9906/266,9186/7777, numerators are 9906,9186
Denominators are 266,7777
The GCF of 9906,9186 is 6 .
LCM of 266,7777 is 295526.
The greatest common factor of 9906/266,9186/7777 = [GCF of 9906,9186]/[LCM of 266,7777]= 6/295526
Therefore, the GCF of 9906/266,9186/7777 is 6/295526.
To find the highest common factor of 9906,9186, we have to find the factors of both numbers and list the highest common factor.
The factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906
The factors of 9186 are 1, 2, 3, 6, 1531, 3062, 4593, 9186
The HCF of 9906,9186 is 6.
Lets's calculate GCF of 9906,9186
| 2 | 9906, 9186 |
| 3 | 4953, 4593 |
| 1651, 1531 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9906,9186 By Matching Biggest Common Factor Method
Now, list down the factors of 9906
:1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906
Now, list down the factors of 9186
:1,2,3,6,1531,3062,4593,9186
Greatest Common Factor
We found the factors 9906,9186 . The biggest common factor number is the GCF number.
So the greatest common factor 9906,9186 is 6.
Lets's calculate LCM of 266,7777
| 7 | 266, 7777 |
| 38, 1111 |
∴ So the LCM of the given numbers is 7 x 38 x 1111 = 295526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/295526
Therefore, the GCF of Fractions 9906/266,9186/7777 is 6/295526
Least Common Multiple of 266,7777 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 266,7777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,7777) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(266,7777) x common factors =7 x 1 = 7
LCM(266,7777) = ( 266 × 7777 ) / 7
LCM(266,7777) = 2068682 / 7
LCM(266,7777) = 295526
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FAQs on GCF of Fractions of 9906/266, 9186/7777
1. What is the HCF of 9906,9186?
The HCF of 9906,9186 is 6
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 9906/266, 9186/7777?
Answer: GCF of Numerators as per given numbers 9906/266, 9186/7777 is
GCF of Numerators i.e. for 9906,9186 is 6
LCM of denominators i.e. for 266,7777 is 295526.
Thus, GCF of Fractions is 6/295526.Finally, GCF of Fractions for 9906/266, 9186/7777 is 6/295526.