GCF of 51/792, 974/826, 700/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 51/792, 974/826, 700/526 i.e 1/86026248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/792, 974/826, 700/526.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 51/792,974/826,700/526?
Given fractions are 51/792,974/826,700/526
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 51/792,974/826,700/526, numerators are 51,974,700
Denominators are 792,826,526
The GCF of 51,974,700 is 1 .
LCM of 792,826,526 is 86026248.
The greatest common factor of 51/792,974/826,700/526 = [GCF of 51,974,700]/[LCM of 792,826,526]= 1/86026248
Therefore, the GCF of 51/792,974/826,700/526 is 1/86026248.
To find the highest common factor of 51,974,700, 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 974 are 1, 2, 487, 974
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The HCF of 51,974,700 is 1.
Lets's calculate GCF of 51,974,700
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 51,974,700 By Matching Biggest Common Factor Method
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 51,974,700 . The biggest common factor number is the GCF number.
So the greatest common factor 51,974,700 is 1.
Lets's calculate LCM of 792,826,526
| 2 | 792, 826, 526 |
| 396, 413, 263 |
∴ So the LCM of the given numbers is 2 x 396 x 413 x 263 = 86026248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86026248
Therefore, the GCF of Fractions 51/792,974/826,700/526 is 1/86026248
Least Common Multiple of 792,826,526 with GCF Formula
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 792,826,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,826,526) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(792,826,526) x common factors =2 x 2 = 4
LCM(792,826,526) = ( 792 × 826 × 526 ) / 4
LCM(792,826,526) = 344104992 / 4
LCM(792,826,526) = 86026248
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FAQs on GCF of Fractions of 51/792, 974/826, 700/526
1. What is the HCF of 51,974,700?
The HCF of 51,974,700 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 51/792, 974/826, 700/526?
Answer: GCF of Numerators as per given numbers 51/792, 974/826, 700/526 is
GCF of Numerators i.e. for 51,974,700 is 1
LCM of denominators i.e. for 792,826,526 is 86026248.
Thus, GCF of Fractions is 1/86026248.Finally, GCF of Fractions for 51/792, 974/826, 700/526 is 1/86026248.