GCF of 5026/391, 5966/1117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5026/391, 5966/1117 i.e 2/436747 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5026/391, 5966/1117.
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 5026/391,5966/1117?
Given fractions are 5026/391,5966/1117
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 5026/391,5966/1117, numerators are 5026,5966
Denominators are 391,1117
The GCF of 5026,5966 is 2 .
LCM of 391,1117 is 436747.
The greatest common factor of 5026/391,5966/1117 = [GCF of 5026,5966]/[LCM of 391,1117]= 2/436747
Therefore, the GCF of 5026/391,5966/1117 is 2/436747.
To find the highest common factor of 5026,5966, we have to find the factors of both numbers and list the highest common factor.
The factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026
The factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966
The HCF of 5026,5966 is 2.
Lets's calculate GCF of 5026,5966
| 2 | 5026, 5966 |
| 2513, 2983 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5026,5966 By Matching Biggest Common Factor Method
Now, list down the factors of 5026
:1,2,7,14,359,718,2513,5026
Now, list down the factors of 5966
:1,2,19,38,157,314,2983,5966
Greatest Common Factor
We found the factors 5026,5966 . The biggest common factor number is the GCF number.
So the greatest common factor 5026,5966 is 2.
Lets's calculate LCM of 391,1117
Given numbers has no common factors except 1. So, there LCM is their product i.e 436747
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/436747
Therefore, the GCF of Fractions 5026/391,5966/1117 is 2/436747
Least Common Multiple of 391,1117 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 391,1117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,1117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,1117) x common factors =1 x 1 = 1
LCM(391,1117) = ( 391 × 1117 ) / 1
LCM(391,1117) = 436747 / 1
LCM(391,1117) = 436747
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5026/391, 5966/1117
1. What is the HCF of 5026,5966?
The HCF of 5026,5966 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 5026/391, 5966/1117?
Answer: GCF of Numerators as per given numbers 5026/391, 5966/1117 is
GCF of Numerators i.e. for 5026,5966 is 2
LCM of denominators i.e. for 391,1117 is 436747.
Thus, GCF of Fractions is 2/436747.Finally, GCF of Fractions for 5026/391, 5966/1117 is 2/436747.