GCF of 2745/234, 6324/8656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2745/234, 6324/8656 i.e 3/1012752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2745/234, 6324/8656.
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 2745/234,6324/8656?
Given fractions are 2745/234,6324/8656
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 2745/234,6324/8656, numerators are 2745,6324
Denominators are 234,8656
The GCF of 2745,6324 is 3 .
LCM of 234,8656 is 1012752.
The greatest common factor of 2745/234,6324/8656 = [GCF of 2745,6324]/[LCM of 234,8656]= 3/1012752
Therefore, the GCF of 2745/234,6324/8656 is 3/1012752.
To find the highest common factor of 2745,6324, we have to find the factors of both numbers and list the highest common factor.
The factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745
The factors of 6324 are 1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324
The HCF of 2745,6324 is 3.
Lets's calculate GCF of 2745,6324
| 3 | 2745, 6324 |
| 915, 2108 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2745,6324 By Matching Biggest Common Factor Method
Now, list down the factors of 2745
:1,3,5,9,15,45,61,183,305,549,915,2745
Now, list down the factors of 6324
:1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324
Greatest Common Factor
We found the factors 2745,6324 . The biggest common factor number is the GCF number.
So the greatest common factor 2745,6324 is 3.
Lets's calculate LCM of 234,8656
| 2 | 234, 8656 |
| 117, 4328 |
∴ So the LCM of the given numbers is 2 x 117 x 4328 = 1012752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1012752
Therefore, the GCF of Fractions 2745/234,6324/8656 is 3/1012752
Least Common Multiple of 234,8656 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 234,8656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,8656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,8656) x common factors =2 x 1 = 2
LCM(234,8656) = ( 234 × 8656 ) / 2
LCM(234,8656) = 2025504 / 2
LCM(234,8656) = 1012752
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FAQs on GCF of Fractions of 2745/234, 6324/8656
1. What is the HCF of 2745,6324?
The HCF of 2745,6324 is 3
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 2745/234, 6324/8656?
Answer: GCF of Numerators as per given numbers 2745/234, 6324/8656 is
GCF of Numerators i.e. for 2745,6324 is 3
LCM of denominators i.e. for 234,8656 is 1012752.
Thus, GCF of Fractions is 3/1012752.Finally, GCF of Fractions for 2745/234, 6324/8656 is 3/1012752.