Use our free GCF of Fractions Calculator tool to compute the GCF of 457/685, 685/932 i.e 1/638420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/685, 685/932.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/685,685/932
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 457/685,685/932, numerators are 457,685
Denominators are 685,932
The GCF of 457,685 is 1 .
LCM of 685,932 is 638420.
The greatest common factor of 457/685,685/932 = [GCF of 457,685]/[LCM of 685,932]= 1/638420
Therefore, the GCF of 457/685,685/932 is 1/638420.
To find the highest common factor of 457,685, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 685 are 1, 5, 137, 685
The HCF of 457,685 is 1.
Lets's calculate GCF of 457,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 457
:1,457
Now, list down the factors of 685
:1,5,137,685
Greatest Common Factor
We found the factors 457,685 . The biggest common factor number is the GCF number.
So the greatest common factor 457,685 is 1.
Lets's calculate LCM of 685,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 638420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638420
Therefore, the GCF of Fractions 457/685,685/932 is 1/638420
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 685,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,932) x common factors =1 x 1 = 1
LCM(685,932) = ( 685 × 932 ) / 1
LCM(685,932) = 638420 / 1
LCM(685,932) = 638420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 457,685?
The HCF of 457,685 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 457/685, 685/932?
Answer: GCF of Numerators as per given numbers 457/685, 685/932 is
GCF of Numerators i.e. for 457,685 is 1
LCM of denominators i.e. for 685,932 is 638420.
Thus, GCF of Fractions is 1/638420.Finally, GCF of Fractions for 457/685, 685/932 is 1/638420.