GCF of 5946/842, 5177/6401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5946/842, 5177/6401 i.e 1/5389642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5946/842, 5177/6401.
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 5946/842,5177/6401?
Given fractions are 5946/842,5177/6401
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 5946/842,5177/6401, numerators are 5946,5177
Denominators are 842,6401
The GCF of 5946,5177 is 1 .
LCM of 842,6401 is 5389642.
The greatest common factor of 5946/842,5177/6401 = [GCF of 5946,5177]/[LCM of 842,6401]= 1/5389642
Therefore, the GCF of 5946/842,5177/6401 is 1/5389642.
To find the highest common factor of 5946,5177, we have to find the factors of both numbers and list the highest common factor.
The factors of 5946 are 1, 2, 3, 6, 991, 1982, 2973, 5946
The factors of 5177 are 1, 31, 167, 5177
The HCF of 5946,5177 is 1.
Lets's calculate GCF of 5946,5177
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5946,5177 By Matching Biggest Common Factor Method
Now, list down the factors of 5946
:1,2,3,6,991,1982,2973,5946
Now, list down the factors of 5177
:1,31,167,5177
Greatest Common Factor
We found the factors 5946,5177 . The biggest common factor number is the GCF number.
So the greatest common factor 5946,5177 is 1.
Lets's calculate LCM of 842,6401
Given numbers has no common factors except 1. So, there LCM is their product i.e 5389642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5389642
Therefore, the GCF of Fractions 5946/842,5177/6401 is 1/5389642
Least Common Multiple of 842,6401 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 842,6401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,6401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,6401) x common factors =1 x 1 = 1
LCM(842,6401) = ( 842 × 6401 ) / 1
LCM(842,6401) = 5389642 / 1
LCM(842,6401) = 5389642
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FAQs on GCF of Fractions of 5946/842, 5177/6401
1. What is the HCF of 5946,5177?
The HCF of 5946,5177 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 5946/842, 5177/6401?
Answer: GCF of Numerators as per given numbers 5946/842, 5177/6401 is
GCF of Numerators i.e. for 5946,5177 is 1
LCM of denominators i.e. for 842,6401 is 5389642.
Thus, GCF of Fractions is 1/5389642.Finally, GCF of Fractions for 5946/842, 5177/6401 is 1/5389642.