GCF of 982/412, 1503/957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 982/412, 1503/957 i.e 1/394284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/412, 1503/957.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 982/412,1503/957?
Given fractions are 982/412,1503/957
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 982/412,1503/957, numerators are 982,1503
Denominators are 412,957
The GCF of 982,1503 is 1 .
LCM of 412,957 is 394284.
The greatest common factor of 982/412,1503/957 = [GCF of 982,1503]/[LCM of 412,957]= 1/394284
Therefore, the GCF of 982/412,1503/957 is 1/394284.
To find the highest common factor of 982,1503, we have to find the factors of both numbers and list the highest common factor.
The factors of 982 are 1, 2, 491, 982
The factors of 1503 are 1, 3, 9, 167, 501, 1503
The HCF of 982,1503 is 1.
Lets's calculate GCF of 982,1503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 982,1503 By Matching Biggest Common Factor Method
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 1503
:1,3,9,167,501,1503
Greatest Common Factor
We found the factors 982,1503 . The biggest common factor number is the GCF number.
So the greatest common factor 982,1503 is 1.
Lets's calculate LCM of 412,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 394284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394284
Therefore, the GCF of Fractions 982/412,1503/957 is 1/394284
Least Common Multiple of 412,957 with GCF Formula
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 412,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,957) x common factors =1 x 1 = 1
LCM(412,957) = ( 412 × 957 ) / 1
LCM(412,957) = 394284 / 1
LCM(412,957) = 394284
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FAQs on GCF of Fractions of 982/412, 1503/957
1. What is the HCF of 982,1503?
The HCF of 982,1503 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 982/412, 1503/957?
Answer: GCF of Numerators as per given numbers 982/412, 1503/957 is
GCF of Numerators i.e. for 982,1503 is 1
LCM of denominators i.e. for 412,957 is 394284.
Thus, GCF of Fractions is 1/394284.Finally, GCF of Fractions for 982/412, 1503/957 is 1/394284.