GCF of 6824/276, 6156/7396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6824/276, 6156/7396 i.e 4/510324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6824/276, 6156/7396.
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 6824/276,6156/7396?
Given fractions are 6824/276,6156/7396
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 6824/276,6156/7396, numerators are 6824,6156
Denominators are 276,7396
The GCF of 6824,6156 is 4 .
LCM of 276,7396 is 510324.
The greatest common factor of 6824/276,6156/7396 = [GCF of 6824,6156]/[LCM of 276,7396]= 4/510324
Therefore, the GCF of 6824/276,6156/7396 is 4/510324.
To find the highest common factor of 6824,6156, we have to find the factors of both numbers and list the highest common factor.
The factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824
The factors of 6156 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156
The HCF of 6824,6156 is 4.
Lets's calculate GCF of 6824,6156
| 2 | 6824, 6156 |
| 2 | 3412, 3078 |
| 1706, 1539 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6824,6156 By Matching Biggest Common Factor Method
Now, list down the factors of 6824
:1,2,4,8,853,1706,3412,6824
Now, list down the factors of 6156
:1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,81,108,114,162,171,228,324,342,513,684,1026,1539,2052,3078,6156
Greatest Common Factor
We found the factors 6824,6156 . The biggest common factor number is the GCF number.
So the greatest common factor 6824,6156 is 4.
Lets's calculate LCM of 276,7396
| 2 | 276, 7396 |
| 2 | 138, 3698 |
| 69, 1849 |
∴ So the LCM of the given numbers is 2 x 2 x 69 x 1849 = 510324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/510324
Therefore, the GCF of Fractions 6824/276,6156/7396 is 4/510324
Least Common Multiple of 276,7396 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 276,7396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,7396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(276,7396) x common factors =4 x 1 = 4
LCM(276,7396) = ( 276 × 7396 ) / 4
LCM(276,7396) = 2041296 / 4
LCM(276,7396) = 510324
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FAQs on GCF of Fractions of 6824/276, 6156/7396
1. What is the HCF of 6824,6156?
The HCF of 6824,6156 is 4
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 6824/276, 6156/7396?
Answer: GCF of Numerators as per given numbers 6824/276, 6156/7396 is
GCF of Numerators i.e. for 6824,6156 is 4
LCM of denominators i.e. for 276,7396 is 510324.
Thus, GCF of Fractions is 4/510324.Finally, GCF of Fractions for 6824/276, 6156/7396 is 4/510324.