GCF of 1476/534, 4824/8550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1476/534, 4824/8550 i.e 36/760950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1476/534, 4824/8550.
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 1476/534,4824/8550?
Given fractions are 1476/534,4824/8550
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 1476/534,4824/8550, numerators are 1476,4824
Denominators are 534,8550
The GCF of 1476,4824 is 36 .
LCM of 534,8550 is 760950.
The greatest common factor of 1476/534,4824/8550 = [GCF of 1476,4824]/[LCM of 534,8550]= 36/760950
Therefore, the GCF of 1476/534,4824/8550 is 36/760950.
To find the highest common factor of 1476,4824, we have to find the factors of both numbers and list the highest common factor.
The factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476
The factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824
The HCF of 1476,4824 is 36.
Lets's calculate GCF of 1476,4824
| 2 | 1476, 4824 |
| 2 | 738, 2412 |
| 3 | 369, 1206 |
| 3 | 123, 402 |
| 41, 134 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 1476,4824 By Matching Biggest Common Factor Method
Now, list down the factors of 1476
:1,2,3,4,6,9,12,18,36,41,82,123,164,246,369,492,738,1476
Now, list down the factors of 4824
:1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Greatest Common Factor
We found the factors 1476,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 1476,4824 is 36.
Lets's calculate LCM of 534,8550
| 2 | 534, 8550 |
| 3 | 267, 4275 |
| 89, 1425 |
∴ So the LCM of the given numbers is 2 x 3 x 89 x 1425 = 760950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/760950
Therefore, the GCF of Fractions 1476/534,4824/8550 is 36/760950
Least Common Multiple of 534,8550 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 534,8550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,8550) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(534,8550) x common factors =6 x 1 = 6
LCM(534,8550) = ( 534 × 8550 ) / 6
LCM(534,8550) = 4565700 / 6
LCM(534,8550) = 760950
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FAQs on GCF of Fractions of 1476/534, 4824/8550
1. What is the HCF of 1476,4824?
The HCF of 1476,4824 is 36
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 1476/534, 4824/8550?
Answer: GCF of Numerators as per given numbers 1476/534, 4824/8550 is
GCF of Numerators i.e. for 1476,4824 is 36
LCM of denominators i.e. for 534,8550 is 760950.
Thus, GCF of Fractions is 36/760950.Finally, GCF of Fractions for 1476/534, 4824/8550 is 36/760950.