GCF of 3013/150, 5147/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3013/150, 5147/701 i.e 1/105150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3013/150, 5147/701.
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 3013/150,5147/701?
Given fractions are 3013/150,5147/701
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 3013/150,5147/701, numerators are 3013,5147
Denominators are 150,701
The GCF of 3013,5147 is 1 .
LCM of 150,701 is 105150.
The greatest common factor of 3013/150,5147/701 = [GCF of 3013,5147]/[LCM of 150,701]= 1/105150
Therefore, the GCF of 3013/150,5147/701 is 1/105150.
To find the highest common factor of 3013,5147, we have to find the factors of both numbers and list the highest common factor.
The factors of 3013 are 1, 23, 131, 3013
The factors of 5147 are 1, 5147
The HCF of 3013,5147 is 1.
Lets's calculate GCF of 3013,5147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3013,5147 By Matching Biggest Common Factor Method
Now, list down the factors of 3013
:1,23,131,3013
Now, list down the factors of 5147
:1,5147
Greatest Common Factor
We found the factors 3013,5147 . The biggest common factor number is the GCF number.
So the greatest common factor 3013,5147 is 1.
Lets's calculate LCM of 150,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 105150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105150
Therefore, the GCF of Fractions 3013/150,5147/701 is 1/105150
Least Common Multiple of 150,701 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 150,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(150,701) x common factors =1 x 1 = 1
LCM(150,701) = ( 150 × 701 ) / 1
LCM(150,701) = 105150 / 1
LCM(150,701) = 105150
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FAQs on GCF of Fractions of 3013/150, 5147/701
1. What is the HCF of 3013,5147?
The HCF of 3013,5147 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 3013/150, 5147/701?
Answer: GCF of Numerators as per given numbers 3013/150, 5147/701 is
GCF of Numerators i.e. for 3013,5147 is 1
LCM of denominators i.e. for 150,701 is 105150.
Thus, GCF of Fractions is 1/105150.Finally, GCF of Fractions for 3013/150, 5147/701 is 1/105150.