Use our free GCF of Fractions Calculator tool to compute the GCF of 5262/879, 6889/3246 i.e 1/951078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5262/879, 6889/3246.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5262/879,6889/3246
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 5262/879,6889/3246, numerators are 5262,6889
Denominators are 879,3246
The GCF of 5262,6889 is 1 .
LCM of 879,3246 is 951078.
The greatest common factor of 5262/879,6889/3246 = [GCF of 5262,6889]/[LCM of 879,3246]= 1/951078
Therefore, the GCF of 5262/879,6889/3246 is 1/951078.
To find the highest common factor of 5262,6889, we have to find the factors of both numbers and list the highest common factor.
The factors of 5262 are 1, 2, 3, 6, 877, 1754, 2631, 5262
The factors of 6889 are 1, 83, 6889
The HCF of 5262,6889 is 1.
Lets's calculate GCF of 5262,6889
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5262
:1,2,3,6,877,1754,2631,5262
Now, list down the factors of 6889
:1,83,6889
Greatest Common Factor
We found the factors 5262,6889 . The biggest common factor number is the GCF number.
So the greatest common factor 5262,6889 is 1.
Lets's calculate LCM of 879,3246
3 | 879, 3246 |
293, 1082 |
∴ So the LCM of the given numbers is 3 x 293 x 1082 = 951078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/951078
Therefore, the GCF of Fractions 5262/879,6889/3246 is 1/951078
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 879,3246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,3246) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,3246) x common factors =3 x 1 = 3
LCM(879,3246) = ( 879 × 3246 ) / 3
LCM(879,3246) = 2853234 / 3
LCM(879,3246) = 951078
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5262,6889?
The HCF of 5262,6889 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 5262/879, 6889/3246?
Answer: GCF of Numerators as per given numbers 5262/879, 6889/3246 is
GCF of Numerators i.e. for 5262,6889 is 1
LCM of denominators i.e. for 879,3246 is 951078.
Thus, GCF of Fractions is 1/951078.Finally, GCF of Fractions for 5262/879, 6889/3246 is 1/951078.