Use our free GCF of Fractions Calculator tool to compute the GCF of 294/748, 715/572 i.e 1/9724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/748, 715/572.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 294/748,715/572
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 294/748,715/572, numerators are 294,715
Denominators are 748,572
The GCF of 294,715 is 1 .
LCM of 748,572 is 9724.
The greatest common factor of 294/748,715/572 = [GCF of 294,715]/[LCM of 748,572]= 1/9724
Therefore, the GCF of 294/748,715/572 is 1/9724.
To find the highest common factor of 294,715, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 294,715 is 1.
Lets's calculate GCF of 294,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 294,715 . The biggest common factor number is the GCF number.
So the greatest common factor 294,715 is 1.
Lets's calculate LCM of 748,572
2 | 748, 572 |
2 | 374, 286 |
11 | 187, 143 |
17, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 13 = 9724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9724
Therefore, the GCF of Fractions 294/748,715/572 is 1/9724
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 748,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,572) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(748,572) x common factors =44 x 1 = 44
LCM(748,572) = ( 748 × 572 ) / 44
LCM(748,572) = 427856 / 44
LCM(748,572) = 9724
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 294,715?
The HCF of 294,715 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 294/748, 715/572?
Answer: GCF of Numerators as per given numbers 294/748, 715/572 is
GCF of Numerators i.e. for 294,715 is 1
LCM of denominators i.e. for 748,572 is 9724.
Thus, GCF of Fractions is 1/9724.Finally, GCF of Fractions for 294/748, 715/572 is 1/9724.