GCF of 2926/97, 8184/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2926/97, 8184/966 i.e 22/93702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2926/97, 8184/966.
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 2926/97,8184/966?
Given fractions are 2926/97,8184/966
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 2926/97,8184/966, numerators are 2926,8184
Denominators are 97,966
The GCF of 2926,8184 is 22 .
LCM of 97,966 is 93702.
The greatest common factor of 2926/97,8184/966 = [GCF of 2926,8184]/[LCM of 97,966]= 22/93702
Therefore, the GCF of 2926/97,8184/966 is 22/93702.
To find the highest common factor of 2926,8184, we have to find the factors of both numbers and list the highest common factor.
The factors of 2926 are 1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463, 2926
The factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184
The HCF of 2926,8184 is 22.
Lets's calculate GCF of 2926,8184
| 2 | 2926, 8184 |
| 11 | 1463, 4092 |
| 133, 372 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 2926,8184 By Matching Biggest Common Factor Method
Now, list down the factors of 2926
:1,2,7,11,14,19,22,38,77,133,154,209,266,418,1463,2926
Now, list down the factors of 8184
:1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184
Greatest Common Factor
We found the factors 2926,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 2926,8184 is 22.
Lets's calculate LCM of 97,966
Given numbers has no common factors except 1. So, there LCM is their product i.e 93702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/93702
Therefore, the GCF of Fractions 2926/97,8184/966 is 22/93702
Least Common Multiple of 97,966 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 97,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,966) x common factors =1 x 1 = 1
LCM(97,966) = ( 97 × 966 ) / 1
LCM(97,966) = 93702 / 1
LCM(97,966) = 93702
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2926/97, 8184/966
1. What is the HCF of 2926,8184?
The HCF of 2926,8184 is 22
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 2926/97, 8184/966?
Answer: GCF of Numerators as per given numbers 2926/97, 8184/966 is
GCF of Numerators i.e. for 2926,8184 is 22
LCM of denominators i.e. for 97,966 is 93702.
Thus, GCF of Fractions is 22/93702.Finally, GCF of Fractions for 2926/97, 8184/966 is 22/93702.