GCF of 631/913, 6869/2105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 631/913, 6869/2105 i.e 1/1921865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/913, 6869/2105.
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 631/913,6869/2105?
Given fractions are 631/913,6869/2105
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 631/913,6869/2105, numerators are 631,6869
Denominators are 913,2105
The GCF of 631,6869 is 1 .
LCM of 913,2105 is 1921865.
The greatest common factor of 631/913,6869/2105 = [GCF of 631,6869]/[LCM of 913,2105]= 1/1921865
Therefore, the GCF of 631/913,6869/2105 is 1/1921865.
To find the highest common factor of 631,6869, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 6869 are 1, 6869
The HCF of 631,6869 is 1.
Lets's calculate GCF of 631,6869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 631,6869 By Matching Biggest Common Factor Method
Now, list down the factors of 631
:1,631
Now, list down the factors of 6869
:1,6869
Greatest Common Factor
We found the factors 631,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 631,6869 is 1.
Lets's calculate LCM of 913,2105
Given numbers has no common factors except 1. So, there LCM is their product i.e 1921865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1921865
Therefore, the GCF of Fractions 631/913,6869/2105 is 1/1921865
Least Common Multiple of 913,2105 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 913,2105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,2105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,2105) x common factors =1 x 1 = 1
LCM(913,2105) = ( 913 × 2105 ) / 1
LCM(913,2105) = 1921865 / 1
LCM(913,2105) = 1921865
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 631/913, 6869/2105
1. What is the HCF of 631,6869?
The HCF of 631,6869 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 631/913, 6869/2105?
Answer: GCF of Numerators as per given numbers 631/913, 6869/2105 is
GCF of Numerators i.e. for 631,6869 is 1
LCM of denominators i.e. for 913,2105 is 1921865.
Thus, GCF of Fractions is 1/1921865.Finally, GCF of Fractions for 631/913, 6869/2105 is 1/1921865.