GCF of 5102/194, 7811/1798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5102/194, 7811/1798 i.e 1/174406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5102/194, 7811/1798.
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 5102/194,7811/1798?
Given fractions are 5102/194,7811/1798
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 5102/194,7811/1798, numerators are 5102,7811
Denominators are 194,1798
The GCF of 5102,7811 is 1 .
LCM of 194,1798 is 174406.
The greatest common factor of 5102/194,7811/1798 = [GCF of 5102,7811]/[LCM of 194,1798]= 1/174406
Therefore, the GCF of 5102/194,7811/1798 is 1/174406.
To find the highest common factor of 5102,7811, we have to find the factors of both numbers and list the highest common factor.
The factors of 5102 are 1, 2, 2551, 5102
The factors of 7811 are 1, 73, 107, 7811
The HCF of 5102,7811 is 1.
Lets's calculate GCF of 5102,7811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5102,7811 By Matching Biggest Common Factor Method
Now, list down the factors of 5102
:1,2,2551,5102
Now, list down the factors of 7811
:1,73,107,7811
Greatest Common Factor
We found the factors 5102,7811 . The biggest common factor number is the GCF number.
So the greatest common factor 5102,7811 is 1.
Lets's calculate LCM of 194,1798
| 2 | 194, 1798 |
| 97, 899 |
∴ So the LCM of the given numbers is 2 x 97 x 899 = 174406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174406
Therefore, the GCF of Fractions 5102/194,7811/1798 is 1/174406
Least Common Multiple of 194,1798 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 194,1798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,1798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,1798) x common factors =2 x 1 = 2
LCM(194,1798) = ( 194 × 1798 ) / 2
LCM(194,1798) = 348812 / 2
LCM(194,1798) = 174406
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5102/194, 7811/1798
1. What is the HCF of 5102,7811?
The HCF of 5102,7811 is 1
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 5102/194, 7811/1798?
Answer: GCF of Numerators as per given numbers 5102/194, 7811/1798 is
GCF of Numerators i.e. for 5102,7811 is 1
LCM of denominators i.e. for 194,1798 is 174406.
Thus, GCF of Fractions is 1/174406.Finally, GCF of Fractions for 5102/194, 7811/1798 is 1/174406.