GCF of 831/977, 451/709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 831/977, 451/709 i.e 1/692693 easily. The following is the detailed procedure to determine the greatest common factor of fractions 831/977, 451/709.
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 831/977,451/709?
Given fractions are 831/977,451/709
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 831/977,451/709, numerators are 831,451
Denominators are 977,709
The GCF of 831,451 is 1 .
LCM of 977,709 is 692693.
The greatest common factor of 831/977,451/709 = [GCF of 831,451]/[LCM of 977,709]= 1/692693
Therefore, the GCF of 831/977,451/709 is 1/692693.
To find the highest common factor of 831,451, we have to find the factors of both numbers and list the highest common factor.
The factors of 831 are 1, 3, 277, 831
The factors of 451 are 1, 11, 41, 451
The HCF of 831,451 is 1.
Lets's calculate GCF of 831,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 831,451 By Matching Biggest Common Factor Method
Now, list down the factors of 831
:1,3,277,831
Now, list down the factors of 451
:1,11,41,451
Greatest Common Factor
We found the factors 831,451 . The biggest common factor number is the GCF number.
So the greatest common factor 831,451 is 1.
Lets's calculate LCM of 977,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 692693
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/692693
Therefore, the GCF of Fractions 831/977,451/709 is 1/692693
Least Common Multiple of 977,709 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 977,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,709) x common factors =1 x 1 = 1
LCM(977,709) = ( 977 × 709 ) / 1
LCM(977,709) = 692693 / 1
LCM(977,709) = 692693
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FAQs on GCF of Fractions of 831/977, 451/709
1. What is the HCF of 831,451?
The HCF of 831,451 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 831/977, 451/709?
Answer: GCF of Numerators as per given numbers 831/977, 451/709 is
GCF of Numerators i.e. for 831,451 is 1
LCM of denominators i.e. for 977,709 is 692693.
Thus, GCF of Fractions is 1/692693.Finally, GCF of Fractions for 831/977, 451/709 is 1/692693.