GCF of 4693/694, 5104/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4693/694, 5104/678 i.e 1/235266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4693/694, 5104/678.
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 4693/694,5104/678?
Given fractions are 4693/694,5104/678
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 4693/694,5104/678, numerators are 4693,5104
Denominators are 694,678
The GCF of 4693,5104 is 1 .
LCM of 694,678 is 235266.
The greatest common factor of 4693/694,5104/678 = [GCF of 4693,5104]/[LCM of 694,678]= 1/235266
Therefore, the GCF of 4693/694,5104/678 is 1/235266.
To find the highest common factor of 4693,5104, we have to find the factors of both numbers and list the highest common factor.
The factors of 4693 are 1, 13, 19, 247, 361, 4693
The factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104
The HCF of 4693,5104 is 1.
Lets's calculate GCF of 4693,5104
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4693,5104 By Matching Biggest Common Factor Method
Now, list down the factors of 4693
:1,13,19,247,361,4693
Now, list down the factors of 5104
:1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104
Greatest Common Factor
We found the factors 4693,5104 . The biggest common factor number is the GCF number.
So the greatest common factor 4693,5104 is 1.
Lets's calculate LCM of 694,678
| 2 | 694, 678 |
| 347, 339 |
∴ So the LCM of the given numbers is 2 x 347 x 339 = 235266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235266
Therefore, the GCF of Fractions 4693/694,5104/678 is 1/235266
Least Common Multiple of 694,678 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 694,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,678) x common factors =2 x 1 = 2
LCM(694,678) = ( 694 × 678 ) / 2
LCM(694,678) = 470532 / 2
LCM(694,678) = 235266
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4693/694, 5104/678
1. What is the HCF of 4693,5104?
The HCF of 4693,5104 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 4693/694, 5104/678?
Answer: GCF of Numerators as per given numbers 4693/694, 5104/678 is
GCF of Numerators i.e. for 4693,5104 is 1
LCM of denominators i.e. for 694,678 is 235266.
Thus, GCF of Fractions is 1/235266.Finally, GCF of Fractions for 4693/694, 5104/678 is 1/235266.