GCF of 6426/655, 1188/9649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6426/655, 1188/9649 i.e 54/6320095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6426/655, 1188/9649.
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 6426/655,1188/9649?
Given fractions are 6426/655,1188/9649
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 6426/655,1188/9649, numerators are 6426,1188
Denominators are 655,9649
The GCF of 6426,1188 is 54 .
LCM of 655,9649 is 6320095.
The greatest common factor of 6426/655,1188/9649 = [GCF of 6426,1188]/[LCM of 655,9649]= 54/6320095
Therefore, the GCF of 6426/655,1188/9649 is 54/6320095.
To find the highest common factor of 6426,1188, we have to find the factors of both numbers and list the highest common factor.
The factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426
The factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188
The HCF of 6426,1188 is 54.
Lets's calculate GCF of 6426,1188
| 2 | 6426, 1188 |
| 3 | 3213, 594 |
| 3 | 1071, 198 |
| 3 | 357, 66 |
| 119, 22 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 6426,1188 By Matching Biggest Common Factor Method
Now, list down the factors of 6426
:1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426
Now, list down the factors of 1188
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188
Greatest Common Factor
We found the factors 6426,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 6426,1188 is 54.
Lets's calculate LCM of 655,9649
Given numbers has no common factors except 1. So, there LCM is their product i.e 6320095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/6320095
Therefore, the GCF of Fractions 6426/655,1188/9649 is 54/6320095
Least Common Multiple of 655,9649 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 655,9649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,9649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,9649) x common factors =1 x 1 = 1
LCM(655,9649) = ( 655 × 9649 ) / 1
LCM(655,9649) = 6320095 / 1
LCM(655,9649) = 6320095
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6426/655, 1188/9649
1. What is the HCF of 6426,1188?
The HCF of 6426,1188 is 54
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 6426/655, 1188/9649?
Answer: GCF of Numerators as per given numbers 6426/655, 1188/9649 is
GCF of Numerators i.e. for 6426,1188 is 54
LCM of denominators i.e. for 655,9649 is 6320095.
Thus, GCF of Fractions is 54/6320095.Finally, GCF of Fractions for 6426/655, 1188/9649 is 54/6320095.