Use our free GCF of Fractions Calculator tool to compute the GCF of 674/685, 274/861 i.e 2/589785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/685, 274/861.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 674/685,274/861
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 674/685,274/861, numerators are 674,274
Denominators are 685,861
The GCF of 674,274 is 2 .
LCM of 685,861 is 589785.
The greatest common factor of 674/685,274/861 = [GCF of 674,274]/[LCM of 685,861]= 2/589785
Therefore, the GCF of 674/685,274/861 is 2/589785.
To find the highest common factor of 674,274, 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 274 are 1, 2, 137, 274
The HCF of 674,274 is 2.
Lets's calculate GCF of 674,274
2 | 674, 274 |
337, 137 |
∴ 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 274
:1,2,137,274
Greatest Common Factor
We found the factors 674,274 . The biggest common factor number is the GCF number.
So the greatest common factor 674,274 is 2.
Lets's calculate LCM of 685,861
Given numbers has no common factors except 1. So, there LCM is their product i.e 589785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/589785
Therefore, the GCF of Fractions 674/685,274/861 is 2/589785
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 685,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,861) x common factors =1 x 1 = 1
LCM(685,861) = ( 685 × 861 ) / 1
LCM(685,861) = 589785 / 1
LCM(685,861) = 589785
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 674,274?
The HCF of 674,274 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 674/685, 274/861?
Answer: GCF of Numerators as per given numbers 674/685, 274/861 is
GCF of Numerators i.e. for 674,274 is 2
LCM of denominators i.e. for 685,861 is 589785.
Thus, GCF of Fractions is 2/589785.Finally, GCF of Fractions for 674/685, 274/861 is 2/589785.