GCF of 6071/149, 5653/2477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6071/149, 5653/2477 i.e 1/369073 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6071/149, 5653/2477.
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 6071/149,5653/2477?
Given fractions are 6071/149,5653/2477
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 6071/149,5653/2477, numerators are 6071,5653
Denominators are 149,2477
The GCF of 6071,5653 is 1 .
LCM of 149,2477 is 369073.
The greatest common factor of 6071/149,5653/2477 = [GCF of 6071,5653]/[LCM of 149,2477]= 1/369073
Therefore, the GCF of 6071/149,5653/2477 is 1/369073.
To find the highest common factor of 6071,5653, we have to find the factors of both numbers and list the highest common factor.
The factors of 6071 are 1, 13, 467, 6071
The factors of 5653 are 1, 5653
The HCF of 6071,5653 is 1.
Lets's calculate GCF of 6071,5653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6071,5653 By Matching Biggest Common Factor Method
Now, list down the factors of 6071
:1,13,467,6071
Now, list down the factors of 5653
:1,5653
Greatest Common Factor
We found the factors 6071,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 6071,5653 is 1.
Lets's calculate LCM of 149,2477
Given numbers has no common factors except 1. So, there LCM is their product i.e 369073
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369073
Therefore, the GCF of Fractions 6071/149,5653/2477 is 1/369073
Least Common Multiple of 149,2477 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 149,2477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,2477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,2477) x common factors =1 x 1 = 1
LCM(149,2477) = ( 149 × 2477 ) / 1
LCM(149,2477) = 369073 / 1
LCM(149,2477) = 369073
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FAQs on GCF of Fractions of 6071/149, 5653/2477
1. What is the HCF of 6071,5653?
The HCF of 6071,5653 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 6071/149, 5653/2477?
Answer: GCF of Numerators as per given numbers 6071/149, 5653/2477 is
GCF of Numerators i.e. for 6071,5653 is 1
LCM of denominators i.e. for 149,2477 is 369073.
Thus, GCF of Fractions is 1/369073.Finally, GCF of Fractions for 6071/149, 5653/2477 is 1/369073.