GCF of 4263/758, 7421/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4263/758, 7421/139 i.e 1/105362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4263/758, 7421/139.
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 4263/758,7421/139?
Given fractions are 4263/758,7421/139
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 4263/758,7421/139, numerators are 4263,7421
Denominators are 758,139
The GCF of 4263,7421 is 1 .
LCM of 758,139 is 105362.
The greatest common factor of 4263/758,7421/139 = [GCF of 4263,7421]/[LCM of 758,139]= 1/105362
Therefore, the GCF of 4263/758,7421/139 is 1/105362.
To find the highest common factor of 4263,7421, we have to find the factors of both numbers and list the highest common factor.
The factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263
The factors of 7421 are 1, 41, 181, 7421
The HCF of 4263,7421 is 1.
Lets's calculate GCF of 4263,7421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4263,7421 By Matching Biggest Common Factor Method
Now, list down the factors of 4263
:1,3,7,21,29,49,87,147,203,609,1421,4263
Now, list down the factors of 7421
:1,41,181,7421
Greatest Common Factor
We found the factors 4263,7421 . The biggest common factor number is the GCF number.
So the greatest common factor 4263,7421 is 1.
Lets's calculate LCM of 758,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 105362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105362
Therefore, the GCF of Fractions 4263/758,7421/139 is 1/105362
Least Common Multiple of 758,139 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 758,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,139) x common factors =1 x 1 = 1
LCM(758,139) = ( 758 × 139 ) / 1
LCM(758,139) = 105362 / 1
LCM(758,139) = 105362
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4263/758, 7421/139
1. What is the HCF of 4263,7421?
The HCF of 4263,7421 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 4263/758, 7421/139?
Answer: GCF of Numerators as per given numbers 4263/758, 7421/139 is
GCF of Numerators i.e. for 4263,7421 is 1
LCM of denominators i.e. for 758,139 is 105362.
Thus, GCF of Fractions is 1/105362.Finally, GCF of Fractions for 4263/758, 7421/139 is 1/105362.