Use our free GCF of Fractions Calculator tool to compute the GCF of 6422/206, 7654/7774 i.e 2/800722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6422/206, 7654/7774.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6422/206,7654/7774
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 6422/206,7654/7774, numerators are 6422,7654
Denominators are 206,7774
The GCF of 6422,7654 is 2 .
LCM of 206,7774 is 800722.
The greatest common factor of 6422/206,7654/7774 = [GCF of 6422,7654]/[LCM of 206,7774]= 2/800722
Therefore, the GCF of 6422/206,7654/7774 is 2/800722.
To find the highest common factor of 6422,7654, we have to find the factors of both numbers and list the highest common factor.
The factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422
The factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654
The HCF of 6422,7654 is 2.
Lets's calculate GCF of 6422,7654
2 | 6422, 7654 |
3211, 3827 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6422
:1,2,13,19,26,38,169,247,338,494,3211,6422
Now, list down the factors of 7654
:1,2,43,86,89,178,3827,7654
Greatest Common Factor
We found the factors 6422,7654 . The biggest common factor number is the GCF number.
So the greatest common factor 6422,7654 is 2.
Lets's calculate LCM of 206,7774
2 | 206, 7774 |
103, 3887 |
∴ So the LCM of the given numbers is 2 x 103 x 3887 = 800722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/800722
Therefore, the GCF of Fractions 6422/206,7654/7774 is 2/800722
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 206,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,7774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,7774) x common factors =2 x 1 = 2
LCM(206,7774) = ( 206 × 7774 ) / 2
LCM(206,7774) = 1601444 / 2
LCM(206,7774) = 800722
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6422,7654?
The HCF of 6422,7654 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 6422/206, 7654/7774?
Answer: GCF of Numerators as per given numbers 6422/206, 7654/7774 is
GCF of Numerators i.e. for 6422,7654 is 2
LCM of denominators i.e. for 206,7774 is 800722.
Thus, GCF of Fractions is 2/800722.Finally, GCF of Fractions for 6422/206, 7654/7774 is 2/800722.