Use our free GCF of Fractions Calculator tool to compute the GCF of 674/436, 852/995 i.e 2/433820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/436, 852/995.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 674/436,852/995
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 674/436,852/995, numerators are 674,852
Denominators are 436,995
The GCF of 674,852 is 2 .
LCM of 436,995 is 433820.
The greatest common factor of 674/436,852/995 = [GCF of 674,852]/[LCM of 436,995]= 2/433820
Therefore, the GCF of 674/436,852/995 is 2/433820.
To find the highest common factor of 674,852, 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 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 674,852 is 2.
Lets's calculate GCF of 674,852
2 | 674, 852 |
337, 426 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 674,852 . The biggest common factor number is the GCF number.
So the greatest common factor 674,852 is 2.
Lets's calculate LCM of 436,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 433820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/433820
Therefore, the GCF of Fractions 674/436,852/995 is 2/433820
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 436,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,995) x common factors =1 x 1 = 1
LCM(436,995) = ( 436 × 995 ) / 1
LCM(436,995) = 433820 / 1
LCM(436,995) = 433820
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 674,852?
The HCF of 674,852 is 2
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 674/436, 852/995?
Answer: GCF of Numerators as per given numbers 674/436, 852/995 is
GCF of Numerators i.e. for 674,852 is 2
LCM of denominators i.e. for 436,995 is 433820.
Thus, GCF of Fractions is 2/433820.Finally, GCF of Fractions for 674/436, 852/995 is 2/433820.