GCF of 862/501, 977/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/501, 977/712 i.e 1/356712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/501, 977/712.
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 862/501,977/712?
Given fractions are 862/501,977/712
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 862/501,977/712, numerators are 862,977
Denominators are 501,712
The GCF of 862,977 is 1 .
LCM of 501,712 is 356712.
The greatest common factor of 862/501,977/712 = [GCF of 862,977]/[LCM of 501,712]= 1/356712
Therefore, the GCF of 862/501,977/712 is 1/356712.
To find the highest common factor of 862,977, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 977 are 1, 977
The HCF of 862,977 is 1.
Lets's calculate GCF of 862,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 862,977 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 977
:1,977
Greatest Common Factor
We found the factors 862,977 . The biggest common factor number is the GCF number.
So the greatest common factor 862,977 is 1.
Lets's calculate LCM of 501,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 356712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356712
Therefore, the GCF of Fractions 862/501,977/712 is 1/356712
Least Common Multiple of 501,712 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 501,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,712) x common factors =1 x 1 = 1
LCM(501,712) = ( 501 × 712 ) / 1
LCM(501,712) = 356712 / 1
LCM(501,712) = 356712
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 862/501, 977/712
1. What is the HCF of 862,977?
The HCF of 862,977 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 862/501, 977/712?
Answer: GCF of Numerators as per given numbers 862/501, 977/712 is
GCF of Numerators i.e. for 862,977 is 1
LCM of denominators i.e. for 501,712 is 356712.
Thus, GCF of Fractions is 1/356712.Finally, GCF of Fractions for 862/501, 977/712 is 1/356712.