GCF of 6026/426, 5235/407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6026/426, 5235/407 i.e 1/173382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6026/426, 5235/407.
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 6026/426,5235/407?
Given fractions are 6026/426,5235/407
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 6026/426,5235/407, numerators are 6026,5235
Denominators are 426,407
The GCF of 6026,5235 is 1 .
LCM of 426,407 is 173382.
The greatest common factor of 6026/426,5235/407 = [GCF of 6026,5235]/[LCM of 426,407]= 1/173382
Therefore, the GCF of 6026/426,5235/407 is 1/173382.
To find the highest common factor of 6026,5235, we have to find the factors of both numbers and list the highest common factor.
The factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026
The factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235
The HCF of 6026,5235 is 1.
Lets's calculate GCF of 6026,5235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6026,5235 By Matching Biggest Common Factor Method
Now, list down the factors of 6026
:1,2,23,46,131,262,3013,6026
Now, list down the factors of 5235
:1,3,5,15,349,1047,1745,5235
Greatest Common Factor
We found the factors 6026,5235 . The biggest common factor number is the GCF number.
So the greatest common factor 6026,5235 is 1.
Lets's calculate LCM of 426,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 173382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173382
Therefore, the GCF of Fractions 6026/426,5235/407 is 1/173382
Least Common Multiple of 426,407 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 426,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(426,407) x common factors =1 x 1 = 1
LCM(426,407) = ( 426 × 407 ) / 1
LCM(426,407) = 173382 / 1
LCM(426,407) = 173382
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FAQs on GCF of Fractions of 6026/426, 5235/407
1. What is the HCF of 6026,5235?
The HCF of 6026,5235 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 6026/426, 5235/407?
Answer: GCF of Numerators as per given numbers 6026/426, 5235/407 is
GCF of Numerators i.e. for 6026,5235 is 1
LCM of denominators i.e. for 426,407 is 173382.
Thus, GCF of Fractions is 1/173382.Finally, GCF of Fractions for 6026/426, 5235/407 is 1/173382.