GCF of 422/518, 101/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 422/518, 101/269 i.e 1/139342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 422/518, 101/269.
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 422/518,101/269?
Given fractions are 422/518,101/269
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 422/518,101/269, numerators are 422,101
Denominators are 518,269
The GCF of 422,101 is 1 .
LCM of 518,269 is 139342.
The greatest common factor of 422/518,101/269 = [GCF of 422,101]/[LCM of 518,269]= 1/139342
Therefore, the GCF of 422/518,101/269 is 1/139342.
To find the highest common factor of 422,101, we have to find the factors of both numbers and list the highest common factor.
The factors of 422 are 1, 2, 211, 422
The factors of 101 are 1, 101
The HCF of 422,101 is 1.
Lets's calculate GCF of 422,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 422,101 By Matching Biggest Common Factor Method
Now, list down the factors of 422
:1,2,211,422
Now, list down the factors of 101
:1,101
Greatest Common Factor
We found the factors 422,101 . The biggest common factor number is the GCF number.
So the greatest common factor 422,101 is 1.
Lets's calculate LCM of 518,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 139342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139342
Therefore, the GCF of Fractions 422/518,101/269 is 1/139342
Least Common Multiple of 518,269 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 518,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,269) x common factors =1 x 1 = 1
LCM(518,269) = ( 518 × 269 ) / 1
LCM(518,269) = 139342 / 1
LCM(518,269) = 139342
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 422/518, 101/269
1. What is the HCF of 422,101?
The HCF of 422,101 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 422/518, 101/269?
Answer: GCF of Numerators as per given numbers 422/518, 101/269 is
GCF of Numerators i.e. for 422,101 is 1
LCM of denominators i.e. for 518,269 is 139342.
Thus, GCF of Fractions is 1/139342.Finally, GCF of Fractions for 422/518, 101/269 is 1/139342.