GCF of 30/977, 9156/2160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/977, 9156/2160 i.e 6/2110320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/977, 9156/2160.
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 30/977,9156/2160?
Given fractions are 30/977,9156/2160
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 30/977,9156/2160, numerators are 30,9156
Denominators are 977,2160
The GCF of 30,9156 is 6 .
LCM of 977,2160 is 2110320.
The greatest common factor of 30/977,9156/2160 = [GCF of 30,9156]/[LCM of 977,2160]= 6/2110320
Therefore, the GCF of 30/977,9156/2160 is 6/2110320.
To find the highest common factor of 30,9156, 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 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156
The HCF of 30,9156 is 6.
Lets's calculate GCF of 30,9156
| 2 | 30, 9156 |
| 3 | 15, 4578 |
| 5, 1526 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 30,9156 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 9156
:1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors 30,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 30,9156 is 6.
Lets's calculate LCM of 977,2160
Given numbers has no common factors except 1. So, there LCM is their product i.e 2110320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2110320
Therefore, the GCF of Fractions 30/977,9156/2160 is 6/2110320
Least Common Multiple of 977,2160 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 977,2160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,2160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,2160) x common factors =1 x 1 = 1
LCM(977,2160) = ( 977 × 2160 ) / 1
LCM(977,2160) = 2110320 / 1
LCM(977,2160) = 2110320
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 30/977, 9156/2160
1. What is the HCF of 30,9156?
The HCF of 30,9156 is 6
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 30/977, 9156/2160?
Answer: GCF of Numerators as per given numbers 30/977, 9156/2160 is
GCF of Numerators i.e. for 30,9156 is 6
LCM of denominators i.e. for 977,2160 is 2110320.
Thus, GCF of Fractions is 6/2110320.Finally, GCF of Fractions for 30/977, 9156/2160 is 6/2110320.