GCF of 901/871, 139/553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 901/871, 139/553 i.e 1/481663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/871, 139/553.
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 901/871,139/553?
Given fractions are 901/871,139/553
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 901/871,139/553, numerators are 901,139
Denominators are 871,553
The GCF of 901,139 is 1 .
LCM of 871,553 is 481663.
The greatest common factor of 901/871,139/553 = [GCF of 901,139]/[LCM of 871,553]= 1/481663
Therefore, the GCF of 901/871,139/553 is 1/481663.
To find the highest common factor of 901,139, we have to find the factors of both numbers and list the highest common factor.
The factors of 901 are 1, 17, 53, 901
The factors of 139 are 1, 139
The HCF of 901,139 is 1.
Lets's calculate GCF of 901,139
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 901,139 By Matching Biggest Common Factor Method
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 139
:1,139
Greatest Common Factor
We found the factors 901,139 . The biggest common factor number is the GCF number.
So the greatest common factor 901,139 is 1.
Lets's calculate LCM of 871,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 481663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481663
Therefore, the GCF of Fractions 901/871,139/553 is 1/481663
Least Common Multiple of 871,553 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 871,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,553) x common factors =1 x 1 = 1
LCM(871,553) = ( 871 × 553 ) / 1
LCM(871,553) = 481663 / 1
LCM(871,553) = 481663
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 901/871, 139/553
1. What is the HCF of 901,139?
The HCF of 901,139 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 901/871, 139/553?
Answer: GCF of Numerators as per given numbers 901/871, 139/553 is
GCF of Numerators i.e. for 901,139 is 1
LCM of denominators i.e. for 871,553 is 481663.
Thus, GCF of Fractions is 1/481663.Finally, GCF of Fractions for 901/871, 139/553 is 1/481663.