Use our free GCF of Fractions Calculator tool to compute the GCF of 497/642, 5416/4678 i.e 1/1501638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 497/642, 5416/4678.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 497/642,5416/4678
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 497/642,5416/4678, numerators are 497,5416
Denominators are 642,4678
The GCF of 497,5416 is 1 .
LCM of 642,4678 is 1501638.
The greatest common factor of 497/642,5416/4678 = [GCF of 497,5416]/[LCM of 642,4678]= 1/1501638
Therefore, the GCF of 497/642,5416/4678 is 1/1501638.
To find the highest common factor of 497,5416, we have to find the factors of both numbers and list the highest common factor.
The factors of 497 are 1, 7, 71, 497
The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416
The HCF of 497,5416 is 1.
Lets's calculate GCF of 497,5416
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 497
:1,7,71,497
Now, list down the factors of 5416
:1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors 497,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 497,5416 is 1.
Lets's calculate LCM of 642,4678
2 | 642, 4678 |
321, 2339 |
∴ So the LCM of the given numbers is 2 x 321 x 2339 = 1501638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1501638
Therefore, the GCF of Fractions 497/642,5416/4678 is 1/1501638
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 642,4678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,4678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,4678) x common factors =2 x 1 = 2
LCM(642,4678) = ( 642 × 4678 ) / 2
LCM(642,4678) = 3003276 / 2
LCM(642,4678) = 1501638
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 497,5416?
The HCF of 497,5416 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 497/642, 5416/4678?
Answer: GCF of Numerators as per given numbers 497/642, 5416/4678 is
GCF of Numerators i.e. for 497,5416 is 1
LCM of denominators i.e. for 642,4678 is 1501638.
Thus, GCF of Fractions is 1/1501638.Finally, GCF of Fractions for 497/642, 5416/4678 is 1/1501638.