GCF of 6048/267, 4788/7213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6048/267, 4788/7213 i.e 252/1925871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6048/267, 4788/7213.
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 6048/267,4788/7213?
Given fractions are 6048/267,4788/7213
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 6048/267,4788/7213, numerators are 6048,4788
Denominators are 267,7213
The GCF of 6048,4788 is 252 .
LCM of 267,7213 is 1925871.
The greatest common factor of 6048/267,4788/7213 = [GCF of 6048,4788]/[LCM of 267,7213]= 252/1925871
Therefore, the GCF of 6048/267,4788/7213 is 252/1925871.
To find the highest common factor of 6048,4788, we have to find the factors of both numbers and list the highest common factor.
The factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048
The factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788
The HCF of 6048,4788 is 252.
Lets's calculate GCF of 6048,4788
| 2 | 6048, 4788 |
| 2 | 3024, 2394 |
| 3 | 1512, 1197 |
| 3 | 504, 399 |
| 7 | 168, 133 |
| 24, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 7 = 252
Greatest Common Factor of 6048,4788 By Matching Biggest Common Factor Method
Now, list down the factors of 6048
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048
Now, list down the factors of 4788
:1,2,3,4,6,7,9,12,14,18,19,21,28,36,38,42,57,63,76,84,114,126,133,171,228,252,266,342,399,532,684,798,1197,1596,2394,4788
Greatest Common Factor
We found the factors 6048,4788 . The biggest common factor number is the GCF number.
So the greatest common factor 6048,4788 is 252.
Lets's calculate LCM of 267,7213
Given numbers has no common factors except 1. So, there LCM is their product i.e 1925871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 252/1925871
Therefore, the GCF of Fractions 6048/267,4788/7213 is 252/1925871
Least Common Multiple of 267,7213 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 267,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,7213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,7213) x common factors =1 x 1 = 1
LCM(267,7213) = ( 267 × 7213 ) / 1
LCM(267,7213) = 1925871 / 1
LCM(267,7213) = 1925871
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6048/267, 4788/7213
1. What is the HCF of 6048,4788?
The HCF of 6048,4788 is 252
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 6048/267, 4788/7213?
Answer: GCF of Numerators as per given numbers 6048/267, 4788/7213 is
GCF of Numerators i.e. for 6048,4788 is 252
LCM of denominators i.e. for 267,7213 is 1925871.
Thus, GCF of Fractions is 252/1925871.Finally, GCF of Fractions for 6048/267, 4788/7213 is 252/1925871.