GCF of 1380/117, 5156/8001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1380/117, 5156/8001 i.e 4/104013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1380/117, 5156/8001.
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 1380/117,5156/8001?
Given fractions are 1380/117,5156/8001
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 1380/117,5156/8001, numerators are 1380,5156
Denominators are 117,8001
The GCF of 1380,5156 is 4 .
LCM of 117,8001 is 104013.
The greatest common factor of 1380/117,5156/8001 = [GCF of 1380,5156]/[LCM of 117,8001]= 4/104013
Therefore, the GCF of 1380/117,5156/8001 is 4/104013.
To find the highest common factor of 1380,5156, we have to find the factors of both numbers and list the highest common factor.
The factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380
The factors of 5156 are 1, 2, 4, 1289, 2578, 5156
The HCF of 1380,5156 is 4.
Lets's calculate GCF of 1380,5156
| 2 | 1380, 5156 |
| 2 | 690, 2578 |
| 345, 1289 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1380,5156 By Matching Biggest Common Factor Method
Now, list down the factors of 1380
:1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380
Now, list down the factors of 5156
:1,2,4,1289,2578,5156
Greatest Common Factor
We found the factors 1380,5156 . The biggest common factor number is the GCF number.
So the greatest common factor 1380,5156 is 4.
Lets's calculate LCM of 117,8001
| 3 | 117, 8001 |
| 3 | 39, 2667 |
| 13, 889 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 889 = 104013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/104013
Therefore, the GCF of Fractions 1380/117,5156/8001 is 4/104013
Least Common Multiple of 117,8001 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 117,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,8001) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(117,8001) x common factors =9 x 1 = 9
LCM(117,8001) = ( 117 × 8001 ) / 9
LCM(117,8001) = 936117 / 9
LCM(117,8001) = 104013
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1380/117, 5156/8001
1. What is the HCF of 1380,5156?
The HCF of 1380,5156 is 4
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 1380/117, 5156/8001?
Answer: GCF of Numerators as per given numbers 1380/117, 5156/8001 is
GCF of Numerators i.e. for 1380,5156 is 4
LCM of denominators i.e. for 117,8001 is 104013.
Thus, GCF of Fractions is 4/104013.Finally, GCF of Fractions for 1380/117, 5156/8001 is 4/104013.