GCF of 1179/409, 6996/8185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1179/409, 6996/8185 i.e 3/3347665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1179/409, 6996/8185.
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 1179/409,6996/8185?
Given fractions are 1179/409,6996/8185
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 1179/409,6996/8185, numerators are 1179,6996
Denominators are 409,8185
The GCF of 1179,6996 is 3 .
LCM of 409,8185 is 3347665.
The greatest common factor of 1179/409,6996/8185 = [GCF of 1179,6996]/[LCM of 409,8185]= 3/3347665
Therefore, the GCF of 1179/409,6996/8185 is 3/3347665.
To find the highest common factor of 1179,6996, we have to find the factors of both numbers and list the highest common factor.
The factors of 1179 are 1, 3, 9, 131, 393, 1179
The factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996
The HCF of 1179,6996 is 3.
Lets's calculate GCF of 1179,6996
| 3 | 1179, 6996 |
| 393, 2332 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1179,6996 By Matching Biggest Common Factor Method
Now, list down the factors of 1179
:1,3,9,131,393,1179
Now, list down the factors of 6996
:1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Greatest Common Factor
We found the factors 1179,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 1179,6996 is 3.
Lets's calculate LCM of 409,8185
Given numbers has no common factors except 1. So, there LCM is their product i.e 3347665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3347665
Therefore, the GCF of Fractions 1179/409,6996/8185 is 3/3347665
Least Common Multiple of 409,8185 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 409,8185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,8185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,8185) x common factors =1 x 1 = 1
LCM(409,8185) = ( 409 × 8185 ) / 1
LCM(409,8185) = 3347665 / 1
LCM(409,8185) = 3347665
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FAQs on GCF of Fractions of 1179/409, 6996/8185
1. What is the HCF of 1179,6996?
The HCF of 1179,6996 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 1179/409, 6996/8185?
Answer: GCF of Numerators as per given numbers 1179/409, 6996/8185 is
GCF of Numerators i.e. for 1179,6996 is 3
LCM of denominators i.e. for 409,8185 is 3347665.
Thus, GCF of Fractions is 3/3347665.Finally, GCF of Fractions for 1179/409, 6996/8185 is 3/3347665.