Use our free GCF of Fractions Calculator tool to compute the GCF of 970/356, 519/557 i.e 1/198292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/356, 519/557.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/356,519/557
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 970/356,519/557, numerators are 970,519
Denominators are 356,557
The GCF of 970,519 is 1 .
LCM of 356,557 is 198292.
The greatest common factor of 970/356,519/557 = [GCF of 970,519]/[LCM of 356,557]= 1/198292
Therefore, the GCF of 970/356,519/557 is 1/198292.
To find the highest common factor of 970,519, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 519 are 1, 3, 173, 519
The HCF of 970,519 is 1.
Lets's calculate GCF of 970,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 519
:1,3,173,519
Greatest Common Factor
We found the factors 970,519 . The biggest common factor number is the GCF number.
So the greatest common factor 970,519 is 1.
Lets's calculate LCM of 356,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 198292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198292
Therefore, the GCF of Fractions 970/356,519/557 is 1/198292
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 356,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(356,557) x common factors =1 x 1 = 1
LCM(356,557) = ( 356 × 557 ) / 1
LCM(356,557) = 198292 / 1
LCM(356,557) = 198292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 970,519?
The HCF of 970,519 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 970/356, 519/557?
Answer: GCF of Numerators as per given numbers 970/356, 519/557 is
GCF of Numerators i.e. for 970,519 is 1
LCM of denominators i.e. for 356,557 is 198292.
Thus, GCF of Fractions is 1/198292.Finally, GCF of Fractions for 970/356, 519/557 is 1/198292.