Use our free GCF of Fractions Calculator tool to compute the GCF of 347/302, 694/528 i.e 347/79728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 347/302, 694/528.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 347/302,694/528
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 347/302,694/528, numerators are 347,694
Denominators are 302,528
The GCF of 347,694 is 347 .
LCM of 302,528 is 79728.
The greatest common factor of 347/302,694/528 = [GCF of 347,694]/[LCM of 302,528]= 347/79728
Therefore, the GCF of 347/302,694/528 is 347/79728.
To find the highest common factor of 347,694, we have to find the factors of both numbers and list the highest common factor.
The factors of 347 are 1, 347
The factors of 694 are 1, 2, 347, 694
The HCF of 347,694 is 347.
Lets's calculate GCF of 347,694
347 | 347, 694 |
1, 2 |
∴ So the GCF of the given numbers is 347 = 347
Now, list down the factors of 347
:1,347
Now, list down the factors of 694
:1,2,347,694
Greatest Common Factor
We found the factors 347,694 . The biggest common factor number is the GCF number.
So the greatest common factor 347,694 is 347.
Lets's calculate LCM of 302,528
2 | 302, 528 |
151, 264 |
∴ So the LCM of the given numbers is 2 x 151 x 264 = 79728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 347/79728
Therefore, the GCF of Fractions 347/302,694/528 is 347/79728
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 302,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,528) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,528) x common factors =2 x 1 = 2
LCM(302,528) = ( 302 × 528 ) / 2
LCM(302,528) = 159456 / 2
LCM(302,528) = 79728
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 347,694?
The HCF of 347,694 is 347
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 347/302, 694/528?
Answer: GCF of Numerators as per given numbers 347/302, 694/528 is
GCF of Numerators i.e. for 347,694 is 347
LCM of denominators i.e. for 302,528 is 79728.
Thus, GCF of Fractions is 347/79728.Finally, GCF of Fractions for 347/302, 694/528 is 347/79728.