GCF of 4483/841, 2945/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4483/841, 2945/972 i.e 1/817452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4483/841, 2945/972.
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 4483/841,2945/972?
Given fractions are 4483/841,2945/972
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 4483/841,2945/972, numerators are 4483,2945
Denominators are 841,972
The GCF of 4483,2945 is 1 .
LCM of 841,972 is 817452.
The greatest common factor of 4483/841,2945/972 = [GCF of 4483,2945]/[LCM of 841,972]= 1/817452
Therefore, the GCF of 4483/841,2945/972 is 1/817452.
To find the highest common factor of 4483,2945, we have to find the factors of both numbers and list the highest common factor.
The factors of 4483 are 1, 4483
The factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945
The HCF of 4483,2945 is 1.
Lets's calculate GCF of 4483,2945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4483,2945 By Matching Biggest Common Factor Method
Now, list down the factors of 4483
:1,4483
Now, list down the factors of 2945
:1,5,19,31,95,155,589,2945
Greatest Common Factor
We found the factors 4483,2945 . The biggest common factor number is the GCF number.
So the greatest common factor 4483,2945 is 1.
Lets's calculate LCM of 841,972
Given numbers has no common factors except 1. So, there LCM is their product i.e 817452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/817452
Therefore, the GCF of Fractions 4483/841,2945/972 is 1/817452
Least Common Multiple of 841,972 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 841,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,972) x common factors =1 x 1 = 1
LCM(841,972) = ( 841 × 972 ) / 1
LCM(841,972) = 817452 / 1
LCM(841,972) = 817452
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FAQs on GCF of Fractions of 4483/841, 2945/972
1. What is the HCF of 4483,2945?
The HCF of 4483,2945 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 4483/841, 2945/972?
Answer: GCF of Numerators as per given numbers 4483/841, 2945/972 is
GCF of Numerators i.e. for 4483,2945 is 1
LCM of denominators i.e. for 841,972 is 817452.
Thus, GCF of Fractions is 1/817452.Finally, GCF of Fractions for 4483/841, 2945/972 is 1/817452.