GCF of 1981/642, 5156/2053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1981/642, 5156/2053 i.e 1/1318026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1981/642, 5156/2053.
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 1981/642,5156/2053?
Given fractions are 1981/642,5156/2053
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 1981/642,5156/2053, numerators are 1981,5156
Denominators are 642,2053
The GCF of 1981,5156 is 1 .
LCM of 642,2053 is 1318026.
The greatest common factor of 1981/642,5156/2053 = [GCF of 1981,5156]/[LCM of 642,2053]= 1/1318026
Therefore, the GCF of 1981/642,5156/2053 is 1/1318026.
To find the highest common factor of 1981,5156, we have to find the factors of both numbers and list the highest common factor.
The factors of 1981 are 1, 7, 283, 1981
The factors of 5156 are 1, 2, 4, 1289, 2578, 5156
The HCF of 1981,5156 is 1.
Lets's calculate GCF of 1981,5156
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1981,5156 By Matching Biggest Common Factor Method
Now, list down the factors of 1981
:1,7,283,1981
Now, list down the factors of 5156
:1,2,4,1289,2578,5156
Greatest Common Factor
We found the factors 1981,5156 . The biggest common factor number is the GCF number.
So the greatest common factor 1981,5156 is 1.
Lets's calculate LCM of 642,2053
Given numbers has no common factors except 1. So, there LCM is their product i.e 1318026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1318026
Therefore, the GCF of Fractions 1981/642,5156/2053 is 1/1318026
Least Common Multiple of 642,2053 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 642,2053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,2053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,2053) x common factors =1 x 1 = 1
LCM(642,2053) = ( 642 × 2053 ) / 1
LCM(642,2053) = 1318026 / 1
LCM(642,2053) = 1318026
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FAQs on GCF of Fractions of 1981/642, 5156/2053
1. What is the HCF of 1981,5156?
The HCF of 1981,5156 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 1981/642, 5156/2053?
Answer: GCF of Numerators as per given numbers 1981/642, 5156/2053 is
GCF of Numerators i.e. for 1981,5156 is 1
LCM of denominators i.e. for 642,2053 is 1318026.
Thus, GCF of Fractions is 1/1318026.Finally, GCF of Fractions for 1981/642, 5156/2053 is 1/1318026.