Use our free GCF of Fractions Calculator tool to compute the GCF of 410/932, 653/769 i.e 1/716708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/932, 653/769.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/932,653/769
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 410/932,653/769, numerators are 410,653
Denominators are 932,769
The GCF of 410,653 is 1 .
LCM of 932,769 is 716708.
The greatest common factor of 410/932,653/769 = [GCF of 410,653]/[LCM of 932,769]= 1/716708
Therefore, the GCF of 410/932,653/769 is 1/716708.
To find the highest common factor of 410,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 653 are 1, 653
The HCF of 410,653 is 1.
Lets's calculate GCF of 410,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 410,653 . The biggest common factor number is the GCF number.
So the greatest common factor 410,653 is 1.
Lets's calculate LCM of 932,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 716708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716708
Therefore, the GCF of Fractions 410/932,653/769 is 1/716708
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 932,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,769) x common factors =1 x 1 = 1
LCM(932,769) = ( 932 × 769 ) / 1
LCM(932,769) = 716708 / 1
LCM(932,769) = 716708
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 410,653?
The HCF of 410,653 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 410/932, 653/769?
Answer: GCF of Numerators as per given numbers 410/932, 653/769 is
GCF of Numerators i.e. for 410,653 is 1
LCM of denominators i.e. for 932,769 is 716708.
Thus, GCF of Fractions is 1/716708.Finally, GCF of Fractions for 410/932, 653/769 is 1/716708.