GCF of 30/29, 770/92, 788/942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/29, 770/92, 788/942 i.e 2/1256628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/29, 770/92, 788/942.
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 30/29,770/92,788/942?
Given fractions are 30/29,770/92,788/942
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 30/29,770/92,788/942, numerators are 30,770,788
Denominators are 29,92,942
The GCF of 30,770,788 is 2 .
LCM of 29,92,942 is 1256628.
The greatest common factor of 30/29,770/92,788/942 = [GCF of 30,770,788]/[LCM of 29,92,942]= 2/1256628
Therefore, the GCF of 30/29,770/92,788/942 is 2/1256628.
To find the highest common factor of 30,770,788, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 788 are 1, 2, 4, 197, 394, 788
The HCF of 30,770,788 is 2.
Lets's calculate GCF of 30,770,788
| 2 | 30, 770, 788 |
| 15, 385, 394 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 30,770,788 By Matching Biggest Common Factor Method
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 788
:1,2,4,197,394,788
Greatest Common Factor
We found the factors 30,770,788 . The biggest common factor number is the GCF number.
So the greatest common factor 30,770,788 is 2.
Lets's calculate LCM of 29,92,942
| 2 | 29, 92, 942 |
| 29, 46, 471 |
∴ So the LCM of the given numbers is 2 x 29 x 46 x 471 = 1256628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1256628
Therefore, the GCF of Fractions 30/29,770/92,788/942 is 2/1256628
Least Common Multiple of 29,92,942 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 29,92,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,92,942) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,92,942) x common factors =1 x 2 = 2
LCM(29,92,942) = ( 29 × 92 × 942 ) / 2
LCM(29,92,942) = 2513256 / 2
LCM(29,92,942) = 1256628
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 30/29, 770/92, 788/942
1. What is the HCF of 30,770,788?
The HCF of 30,770,788 is 2
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 30/29, 770/92, 788/942?
Answer: GCF of Numerators as per given numbers 30/29, 770/92, 788/942 is
GCF of Numerators i.e. for 30,770,788 is 2
LCM of denominators i.e. for 29,92,942 is 1256628.
Thus, GCF of Fractions is 2/1256628.Finally, GCF of Fractions for 30/29, 770/92, 788/942 is 2/1256628.