GCF of 1018/983, 9691/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1018/983, 9691/922 i.e 1/906326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1018/983, 9691/922.
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 1018/983,9691/922?
Given fractions are 1018/983,9691/922
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 1018/983,9691/922, numerators are 1018,9691
Denominators are 983,922
The GCF of 1018,9691 is 1 .
LCM of 983,922 is 906326.
The greatest common factor of 1018/983,9691/922 = [GCF of 1018,9691]/[LCM of 983,922]= 1/906326
Therefore, the GCF of 1018/983,9691/922 is 1/906326.
To find the highest common factor of 1018,9691, we have to find the factors of both numbers and list the highest common factor.
The factors of 1018 are 1, 2, 509, 1018
The factors of 9691 are 1, 11, 881, 9691
The HCF of 1018,9691 is 1.
Lets's calculate GCF of 1018,9691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1018,9691 By Matching Biggest Common Factor Method
Now, list down the factors of 1018
:1,2,509,1018
Now, list down the factors of 9691
:1,11,881,9691
Greatest Common Factor
We found the factors 1018,9691 . The biggest common factor number is the GCF number.
So the greatest common factor 1018,9691 is 1.
Lets's calculate LCM of 983,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 906326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/906326
Therefore, the GCF of Fractions 1018/983,9691/922 is 1/906326
Least Common Multiple of 983,922 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 983,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,922) x common factors =1 x 1 = 1
LCM(983,922) = ( 983 × 922 ) / 1
LCM(983,922) = 906326 / 1
LCM(983,922) = 906326
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FAQs on GCF of Fractions of 1018/983, 9691/922
1. What is the HCF of 1018,9691?
The HCF of 1018,9691 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 1018/983, 9691/922?
Answer: GCF of Numerators as per given numbers 1018/983, 9691/922 is
GCF of Numerators i.e. for 1018,9691 is 1
LCM of denominators i.e. for 983,922 is 906326.
Thus, GCF of Fractions is 1/906326.Finally, GCF of Fractions for 1018/983, 9691/922 is 1/906326.