GCF of 4788/326, 6867/4652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4788/326, 6867/4652 i.e 63/758276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4788/326, 6867/4652.
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 4788/326,6867/4652?
Given fractions are 4788/326,6867/4652
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 4788/326,6867/4652, numerators are 4788,6867
Denominators are 326,4652
The GCF of 4788,6867 is 63 .
LCM of 326,4652 is 758276.
The greatest common factor of 4788/326,6867/4652 = [GCF of 4788,6867]/[LCM of 326,4652]= 63/758276
Therefore, the GCF of 4788/326,6867/4652 is 63/758276.
To find the highest common factor of 4788,6867, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867
The HCF of 4788,6867 is 63.
Lets's calculate GCF of 4788,6867
| 3 | 4788, 6867 |
| 3 | 1596, 2289 |
| 7 | 532, 763 |
| 76, 109 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 4788,6867 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6867
:1,3,7,9,21,63,109,327,763,981,2289,6867
Greatest Common Factor
We found the factors 4788,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 4788,6867 is 63.
Lets's calculate LCM of 326,4652
| 2 | 326, 4652 |
| 163, 2326 |
∴ So the LCM of the given numbers is 2 x 163 x 2326 = 758276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/758276
Therefore, the GCF of Fractions 4788/326,6867/4652 is 63/758276
Least Common Multiple of 326,4652 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 326,4652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,4652) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,4652) x common factors =2 x 1 = 2
LCM(326,4652) = ( 326 × 4652 ) / 2
LCM(326,4652) = 1516552 / 2
LCM(326,4652) = 758276
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FAQs on GCF of Fractions of 4788/326, 6867/4652
1. What is the HCF of 4788,6867?
The HCF of 4788,6867 is 63
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 4788/326, 6867/4652?
Answer: GCF of Numerators as per given numbers 4788/326, 6867/4652 is
GCF of Numerators i.e. for 4788,6867 is 63
LCM of denominators i.e. for 326,4652 is 758276.
Thus, GCF of Fractions is 63/758276.Finally, GCF of Fractions for 4788/326, 6867/4652 is 63/758276.