Use our free GCF of Fractions Calculator tool to compute the GCF of 889/979, 526/422 i.e 1/413138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/979, 526/422.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 889/979,526/422
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 889/979,526/422, numerators are 889,526
Denominators are 979,422
The GCF of 889,526 is 1 .
LCM of 979,422 is 413138.
The greatest common factor of 889/979,526/422 = [GCF of 889,526]/[LCM of 979,422]= 1/413138
Therefore, the GCF of 889/979,526/422 is 1/413138.
To find the highest common factor of 889,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 889 are 1, 7, 127, 889
The factors of 526 are 1, 2, 263, 526
The HCF of 889,526 is 1.
Lets's calculate GCF of 889,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 889
:1,7,127,889
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 889,526 . The biggest common factor number is the GCF number.
So the greatest common factor 889,526 is 1.
Lets's calculate LCM of 979,422
Given numbers has no common factors except 1. So, there LCM is their product i.e 413138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413138
Therefore, the GCF of Fractions 889/979,526/422 is 1/413138
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 979,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,422) x common factors =1 x 1 = 1
LCM(979,422) = ( 979 × 422 ) / 1
LCM(979,422) = 413138 / 1
LCM(979,422) = 413138
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 889,526?
The HCF of 889,526 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 889/979, 526/422?
Answer: GCF of Numerators as per given numbers 889/979, 526/422 is
GCF of Numerators i.e. for 889,526 is 1
LCM of denominators i.e. for 979,422 is 413138.
Thus, GCF of Fractions is 1/413138.Finally, GCF of Fractions for 889/979, 526/422 is 1/413138.