GCF of 6636/834, 8712/355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6636/834, 8712/355 i.e 12/296070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6636/834, 8712/355.
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 6636/834,8712/355?
Given fractions are 6636/834,8712/355
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 6636/834,8712/355, numerators are 6636,8712
Denominators are 834,355
The GCF of 6636,8712 is 12 .
LCM of 834,355 is 296070.
The greatest common factor of 6636/834,8712/355 = [GCF of 6636,8712]/[LCM of 834,355]= 12/296070
Therefore, the GCF of 6636/834,8712/355 is 12/296070.
To find the highest common factor of 6636,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 6636 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The HCF of 6636,8712 is 12.
Lets's calculate GCF of 6636,8712
| 2 | 6636, 8712 |
| 2 | 3318, 4356 |
| 3 | 1659, 2178 |
| 553, 726 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6636,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 6636
:1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 6636,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 6636,8712 is 12.
Lets's calculate LCM of 834,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 296070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/296070
Therefore, the GCF of Fractions 6636/834,8712/355 is 12/296070
Least Common Multiple of 834,355 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 834,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(834,355) x common factors =1 x 1 = 1
LCM(834,355) = ( 834 × 355 ) / 1
LCM(834,355) = 296070 / 1
LCM(834,355) = 296070
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6636/834, 8712/355
1. What is the HCF of 6636,8712?
The HCF of 6636,8712 is 12
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 6636/834, 8712/355?
Answer: GCF of Numerators as per given numbers 6636/834, 8712/355 is
GCF of Numerators i.e. for 6636,8712 is 12
LCM of denominators i.e. for 834,355 is 296070.
Thus, GCF of Fractions is 12/296070.Finally, GCF of Fractions for 6636/834, 8712/355 is 12/296070.