Use our free GCF of Fractions Calculator tool to compute the GCF of 51/792, 708/694, 597/130 i.e 3/17863560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/792, 708/694, 597/130.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/792,708/694,597/130
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 51/792,708/694,597/130, numerators are 51,708,597
Denominators are 792,694,130
The GCF of 51,708,597 is 3 .
LCM of 792,694,130 is 17863560.
The greatest common factor of 51/792,708/694,597/130 = [GCF of 51,708,597]/[LCM of 792,694,130]= 3/17863560
Therefore, the GCF of 51/792,708/694,597/130 is 3/17863560.
To find the highest common factor of 51,708,597, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The factors of 597 are 1, 3, 199, 597
The HCF of 51,708,597 is 3.
Lets's calculate GCF of 51,708,597
3 | 51, 708, 597 |
17, 236, 199 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Now, list down the factors of 597
:1,3,199,597
Greatest Common Factor
We found the factors 51,708,597 . The biggest common factor number is the GCF number.
So the greatest common factor 51,708,597 is 3.
Lets's calculate LCM of 792,694,130
2 | 792, 694, 130 |
396, 347, 65 |
∴ So the LCM of the given numbers is 2 x 396 x 347 x 65 = 17863560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17863560
Therefore, the GCF of Fractions 51/792,708/694,597/130 is 3/17863560
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 792,694,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,694,130) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(792,694,130) x common factors =2 x 2 = 4
LCM(792,694,130) = ( 792 × 694 × 130 ) / 4
LCM(792,694,130) = 71454240 / 4
LCM(792,694,130) = 17863560
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 51,708,597?
The HCF of 51,708,597 is 3
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 51/792, 708/694, 597/130?
Answer: GCF of Numerators as per given numbers 51/792, 708/694, 597/130 is
GCF of Numerators i.e. for 51,708,597 is 3
LCM of denominators i.e. for 792,694,130 is 17863560.
Thus, GCF of Fractions is 3/17863560.Finally, GCF of Fractions for 51/792, 708/694, 597/130 is 3/17863560.