GCF of 4082/313, 1116/2759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4082/313, 1116/2759 i.e 2/863567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4082/313, 1116/2759.
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 4082/313,1116/2759?
Given fractions are 4082/313,1116/2759
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 4082/313,1116/2759, numerators are 4082,1116
Denominators are 313,2759
The GCF of 4082,1116 is 2 .
LCM of 313,2759 is 863567.
The greatest common factor of 4082/313,1116/2759 = [GCF of 4082,1116]/[LCM of 313,2759]= 2/863567
Therefore, the GCF of 4082/313,1116/2759 is 2/863567.
To find the highest common factor of 4082,1116, we have to find the factors of both numbers and list the highest common factor.
The factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The HCF of 4082,1116 is 2.
Lets's calculate GCF of 4082,1116
| 2 | 4082, 1116 |
| 2041, 558 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4082,1116 By Matching Biggest Common Factor Method
Now, list down the factors of 4082
:1,2,13,26,157,314,2041,4082
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
Greatest Common Factor
We found the factors 4082,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 4082,1116 is 2.
Lets's calculate LCM of 313,2759
Given numbers has no common factors except 1. So, there LCM is their product i.e 863567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/863567
Therefore, the GCF of Fractions 4082/313,1116/2759 is 2/863567
Least Common Multiple of 313,2759 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 313,2759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,2759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,2759) x common factors =1 x 1 = 1
LCM(313,2759) = ( 313 × 2759 ) / 1
LCM(313,2759) = 863567 / 1
LCM(313,2759) = 863567
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FAQs on GCF of Fractions of 4082/313, 1116/2759
1. What is the HCF of 4082,1116?
The HCF of 4082,1116 is 2
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 4082/313, 1116/2759?
Answer: GCF of Numerators as per given numbers 4082/313, 1116/2759 is
GCF of Numerators i.e. for 4082,1116 is 2
LCM of denominators i.e. for 313,2759 is 863567.
Thus, GCF of Fractions is 2/863567.Finally, GCF of Fractions for 4082/313, 1116/2759 is 2/863567.