GCF of 8184/578, 7655/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8184/578, 7655/136 i.e 1/2312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8184/578, 7655/136.
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 8184/578,7655/136?
Given fractions are 8184/578,7655/136
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 8184/578,7655/136, numerators are 8184,7655
Denominators are 578,136
The GCF of 8184,7655 is 1 .
LCM of 578,136 is 2312.
The greatest common factor of 8184/578,7655/136 = [GCF of 8184,7655]/[LCM of 578,136]= 1/2312
Therefore, the GCF of 8184/578,7655/136 is 1/2312.
To find the highest common factor of 8184,7655, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7655 are 1, 5, 1531, 7655
The HCF of 8184,7655 is 1.
Lets's calculate GCF of 8184,7655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8184,7655 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7655
:1,5,1531,7655
Greatest Common Factor
We found the factors 8184,7655 . The biggest common factor number is the GCF number.
So the greatest common factor 8184,7655 is 1.
Lets's calculate LCM of 578,136
| 2 | 578, 136 |
| 17 | 289, 68 |
| 17, 4 |
∴ So the LCM of the given numbers is 2 x 17 x 17 x 4 = 2312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2312
Therefore, the GCF of Fractions 8184/578,7655/136 is 1/2312
Least Common Multiple of 578,136 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 578,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,136) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(578,136) x common factors =34 x 1 = 34
LCM(578,136) = ( 578 × 136 ) / 34
LCM(578,136) = 78608 / 34
LCM(578,136) = 2312
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FAQs on GCF of Fractions of 8184/578, 7655/136
1. What is the HCF of 8184,7655?
The HCF of 8184,7655 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 8184/578, 7655/136?
Answer: GCF of Numerators as per given numbers 8184/578, 7655/136 is
GCF of Numerators i.e. for 8184,7655 is 1
LCM of denominators i.e. for 578,136 is 2312.
Thus, GCF of Fractions is 1/2312.Finally, GCF of Fractions for 8184/578, 7655/136 is 1/2312.