GCF of 5066/901, 3531/1931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5066/901, 3531/1931 i.e 1/1739831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5066/901, 3531/1931.
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 5066/901,3531/1931?
Given fractions are 5066/901,3531/1931
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 5066/901,3531/1931, numerators are 5066,3531
Denominators are 901,1931
The GCF of 5066,3531 is 1 .
LCM of 901,1931 is 1739831.
The greatest common factor of 5066/901,3531/1931 = [GCF of 5066,3531]/[LCM of 901,1931]= 1/1739831
Therefore, the GCF of 5066/901,3531/1931 is 1/1739831.
To find the highest common factor of 5066,3531, we have to find the factors of both numbers and list the highest common factor.
The factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066
The factors of 3531 are 1, 3, 11, 33, 107, 321, 1177, 3531
The HCF of 5066,3531 is 1.
Lets's calculate GCF of 5066,3531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5066,3531 By Matching Biggest Common Factor Method
Now, list down the factors of 5066
:1,2,17,34,149,298,2533,5066
Now, list down the factors of 3531
:1,3,11,33,107,321,1177,3531
Greatest Common Factor
We found the factors 5066,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 5066,3531 is 1.
Lets's calculate LCM of 901,1931
Given numbers has no common factors except 1. So, there LCM is their product i.e 1739831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1739831
Therefore, the GCF of Fractions 5066/901,3531/1931 is 1/1739831
Least Common Multiple of 901,1931 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 901,1931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,1931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,1931) x common factors =1 x 1 = 1
LCM(901,1931) = ( 901 × 1931 ) / 1
LCM(901,1931) = 1739831 / 1
LCM(901,1931) = 1739831
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5066/901, 3531/1931
1. What is the HCF of 5066,3531?
The HCF of 5066,3531 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 5066/901, 3531/1931?
Answer: GCF of Numerators as per given numbers 5066/901, 3531/1931 is
GCF of Numerators i.e. for 5066,3531 is 1
LCM of denominators i.e. for 901,1931 is 1739831.
Thus, GCF of Fractions is 1/1739831.Finally, GCF of Fractions for 5066/901, 3531/1931 is 1/1739831.