Use our free GCF of Fractions Calculator tool to compute the GCF of 674/947, 4748/822 i.e 2/778434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/947, 4748/822.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 674/947,4748/822
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 674/947,4748/822, numerators are 674,4748
Denominators are 947,822
The GCF of 674,4748 is 2 .
LCM of 947,822 is 778434.
The greatest common factor of 674/947,4748/822 = [GCF of 674,4748]/[LCM of 947,822]= 2/778434
Therefore, the GCF of 674/947,4748/822 is 2/778434.
To find the highest common factor of 674,4748, 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 4748 are 1, 2, 4, 1187, 2374, 4748
The HCF of 674,4748 is 2.
Lets's calculate GCF of 674,4748
2 | 674, 4748 |
337, 2374 |
∴ 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 4748
:1,2,4,1187,2374,4748
Greatest Common Factor
We found the factors 674,4748 . The biggest common factor number is the GCF number.
So the greatest common factor 674,4748 is 2.
Lets's calculate LCM of 947,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 778434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/778434
Therefore, the GCF of Fractions 674/947,4748/822 is 2/778434
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 947,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,822) x common factors =1 x 1 = 1
LCM(947,822) = ( 947 × 822 ) / 1
LCM(947,822) = 778434 / 1
LCM(947,822) = 778434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 674,4748?
The HCF of 674,4748 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 674/947, 4748/822?
Answer: GCF of Numerators as per given numbers 674/947, 4748/822 is
GCF of Numerators i.e. for 674,4748 is 2
LCM of denominators i.e. for 947,822 is 778434.
Thus, GCF of Fractions is 2/778434.Finally, GCF of Fractions for 674/947, 4748/822 is 2/778434.