Use our free GCF of Fractions Calculator tool to compute the GCF of 747/130, 374/824 i.e 1/53560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/130, 374/824.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/130,374/824
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 747/130,374/824, numerators are 747,374
Denominators are 130,824
The GCF of 747,374 is 1 .
LCM of 130,824 is 53560.
The greatest common factor of 747/130,374/824 = [GCF of 747,374]/[LCM of 130,824]= 1/53560
Therefore, the GCF of 747/130,374/824 is 1/53560.
To find the highest common factor of 747,374, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The HCF of 747,374 is 1.
Lets's calculate GCF of 747,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 747,374 . The biggest common factor number is the GCF number.
So the greatest common factor 747,374 is 1.
Lets's calculate LCM of 130,824
2 | 130, 824 |
65, 412 |
∴ So the LCM of the given numbers is 2 x 65 x 412 = 53560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53560
Therefore, the GCF of Fractions 747/130,374/824 is 1/53560
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 130,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,824) x common factors =2 x 1 = 2
LCM(130,824) = ( 130 × 824 ) / 2
LCM(130,824) = 107120 / 2
LCM(130,824) = 53560
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 747,374?
The HCF of 747,374 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 747/130, 374/824?
Answer: GCF of Numerators as per given numbers 747/130, 374/824 is
GCF of Numerators i.e. for 747,374 is 1
LCM of denominators i.e. for 130,824 is 53560.
Thus, GCF of Fractions is 1/53560.Finally, GCF of Fractions for 747/130, 374/824 is 1/53560.