Use our free GCF of Fractions Calculator tool to compute the GCF of 962/682, 645/892 i.e 1/304172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/682, 645/892.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/682,645/892
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 962/682,645/892, numerators are 962,645
Denominators are 682,892
The GCF of 962,645 is 1 .
LCM of 682,892 is 304172.
The greatest common factor of 962/682,645/892 = [GCF of 962,645]/[LCM of 682,892]= 1/304172
Therefore, the GCF of 962/682,645/892 is 1/304172.
To find the highest common factor of 962,645, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The HCF of 962,645 is 1.
Lets's calculate GCF of 962,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 962,645 . The biggest common factor number is the GCF number.
So the greatest common factor 962,645 is 1.
Lets's calculate LCM of 682,892
2 | 682, 892 |
341, 446 |
∴ So the LCM of the given numbers is 2 x 341 x 446 = 304172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304172
Therefore, the GCF of Fractions 962/682,645/892 is 1/304172
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 682,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,892) x common factors =2 x 1 = 2
LCM(682,892) = ( 682 × 892 ) / 2
LCM(682,892) = 608344 / 2
LCM(682,892) = 304172
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 962,645?
The HCF of 962,645 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 962/682, 645/892?
Answer: GCF of Numerators as per given numbers 962/682, 645/892 is
GCF of Numerators i.e. for 962,645 is 1
LCM of denominators i.e. for 682,892 is 304172.
Thus, GCF of Fractions is 1/304172.Finally, GCF of Fractions for 962/682, 645/892 is 1/304172.