GCF of 2556/240, 6384/9662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2556/240, 6384/9662 i.e 12/1159440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2556/240, 6384/9662.
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 2556/240,6384/9662?
Given fractions are 2556/240,6384/9662
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 2556/240,6384/9662, numerators are 2556,6384
Denominators are 240,9662
The GCF of 2556,6384 is 12 .
LCM of 240,9662 is 1159440.
The greatest common factor of 2556/240,6384/9662 = [GCF of 2556,6384]/[LCM of 240,9662]= 12/1159440
Therefore, the GCF of 2556/240,6384/9662 is 12/1159440.
To find the highest common factor of 2556,6384, we have to find the factors of both numbers and list the highest common factor.
The factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278, 2556
The factors of 6384 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384
The HCF of 2556,6384 is 12.
Lets's calculate GCF of 2556,6384
| 2 | 2556, 6384 |
| 2 | 1278, 3192 |
| 3 | 639, 1596 |
| 213, 532 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2556,6384 By Matching Biggest Common Factor Method
Now, list down the factors of 2556
:1,2,3,4,6,9,12,18,36,71,142,213,284,426,639,852,1278,2556
Now, list down the factors of 6384
:1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384
Greatest Common Factor
We found the factors 2556,6384 . The biggest common factor number is the GCF number.
So the greatest common factor 2556,6384 is 12.
Lets's calculate LCM of 240,9662
| 2 | 240, 9662 |
| 120, 4831 |
∴ So the LCM of the given numbers is 2 x 120 x 4831 = 1159440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1159440
Therefore, the GCF of Fractions 2556/240,6384/9662 is 12/1159440
Least Common Multiple of 240,9662 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 240,9662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,9662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(240,9662) x common factors =2 x 1 = 2
LCM(240,9662) = ( 240 × 9662 ) / 2
LCM(240,9662) = 2318880 / 2
LCM(240,9662) = 1159440
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2556/240, 6384/9662
1. What is the HCF of 2556,6384?
The HCF of 2556,6384 is 12
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 2556/240, 6384/9662?
Answer: GCF of Numerators as per given numbers 2556/240, 6384/9662 is
GCF of Numerators i.e. for 2556,6384 is 12
LCM of denominators i.e. for 240,9662 is 1159440.
Thus, GCF of Fractions is 12/1159440.Finally, GCF of Fractions for 2556/240, 6384/9662 is 12/1159440.