GCF of 1116/289, 6696/6595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1116/289, 6696/6595 i.e 1116/1905955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1116/289, 6696/6595.
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 1116/289,6696/6595?
Given fractions are 1116/289,6696/6595
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 1116/289,6696/6595, numerators are 1116,6696
Denominators are 289,6595
The GCF of 1116,6696 is 1116 .
LCM of 289,6595 is 1905955.
The greatest common factor of 1116/289,6696/6595 = [GCF of 1116,6696]/[LCM of 289,6595]= 1116/1905955
Therefore, the GCF of 1116/289,6696/6595 is 1116/1905955.
To find the highest common factor of 1116,6696, we have to find the factors of both numbers and list the highest common factor.
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696
The HCF of 1116,6696 is 1116.
Lets's calculate GCF of 1116,6696
| 2 | 1116, 6696 |
| 2 | 558, 3348 |
| 3 | 279, 1674 |
| 3 | 93, 558 |
| 31 | 31, 186 |
| 1, 6 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 31 = 1116
Greatest Common Factor of 1116,6696 By Matching Biggest Common Factor Method
Now, list down the factors of 1116
:1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Now, list down the factors of 6696
:1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696
Greatest Common Factor
We found the factors 1116,6696 . The biggest common factor number is the GCF number.
So the greatest common factor 1116,6696 is 1116.
Lets's calculate LCM of 289,6595
Given numbers has no common factors except 1. So, there LCM is their product i.e 1905955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1116/1905955
Therefore, the GCF of Fractions 1116/289,6696/6595 is 1116/1905955
Least Common Multiple of 289,6595 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 289,6595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,6595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,6595) x common factors =1 x 1 = 1
LCM(289,6595) = ( 289 × 6595 ) / 1
LCM(289,6595) = 1905955 / 1
LCM(289,6595) = 1905955
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FAQs on GCF of Fractions of 1116/289, 6696/6595
1. What is the HCF of 1116,6696?
The HCF of 1116,6696 is 1116
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 1116/289, 6696/6595?
Answer: GCF of Numerators as per given numbers 1116/289, 6696/6595 is
GCF of Numerators i.e. for 1116,6696 is 1116
LCM of denominators i.e. for 289,6595 is 1905955.
Thus, GCF of Fractions is 1116/1905955.Finally, GCF of Fractions for 1116/289, 6696/6595 is 1116/1905955.