Use our free GCF of Fractions Calculator tool to compute the GCF of 674/762, 461/902 i.e 1/343662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/762, 461/902.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 674/762,461/902
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 674/762,461/902, numerators are 674,461
Denominators are 762,902
The GCF of 674,461 is 1 .
LCM of 762,902 is 343662.
The greatest common factor of 674/762,461/902 = [GCF of 674,461]/[LCM of 762,902]= 1/343662
Therefore, the GCF of 674/762,461/902 is 1/343662.
To find the highest common factor of 674,461, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 461 are 1, 461
The HCF of 674,461 is 1.
Lets's calculate GCF of 674,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 461
:1,461
Greatest Common Factor
We found the factors 674,461 . The biggest common factor number is the GCF number.
So the greatest common factor 674,461 is 1.
Lets's calculate LCM of 762,902
2 | 762, 902 |
381, 451 |
∴ So the LCM of the given numbers is 2 x 381 x 451 = 343662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343662
Therefore, the GCF of Fractions 674/762,461/902 is 1/343662
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 762,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,902) x common factors =2 x 1 = 2
LCM(762,902) = ( 762 × 902 ) / 2
LCM(762,902) = 687324 / 2
LCM(762,902) = 343662
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 674,461?
The HCF of 674,461 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 674/762, 461/902?
Answer: GCF of Numerators as per given numbers 674/762, 461/902 is
GCF of Numerators i.e. for 674,461 is 1
LCM of denominators i.e. for 762,902 is 343662.
Thus, GCF of Fractions is 1/343662.Finally, GCF of Fractions for 674/762, 461/902 is 1/343662.