GCF of 4872/292, 8376/7443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4872/292, 8376/7443 i.e 24/2173356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4872/292, 8376/7443.
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 4872/292,8376/7443?
Given fractions are 4872/292,8376/7443
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 4872/292,8376/7443, numerators are 4872,8376
Denominators are 292,7443
The GCF of 4872,8376 is 24 .
LCM of 292,7443 is 2173356.
The greatest common factor of 4872/292,8376/7443 = [GCF of 4872,8376]/[LCM of 292,7443]= 24/2173356
Therefore, the GCF of 4872/292,8376/7443 is 24/2173356.
To find the highest common factor of 4872,8376, we have to find the factors of both numbers and list the highest common factor.
The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872
The factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376
The HCF of 4872,8376 is 24.
Lets's calculate GCF of 4872,8376
| 2 | 4872, 8376 |
| 2 | 2436, 4188 |
| 2 | 1218, 2094 |
| 3 | 609, 1047 |
| 203, 349 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 4872,8376 By Matching Biggest Common Factor Method
Now, list down the factors of 4872
:1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872
Now, list down the factors of 8376
:1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Greatest Common Factor
We found the factors 4872,8376 . The biggest common factor number is the GCF number.
So the greatest common factor 4872,8376 is 24.
Lets's calculate LCM of 292,7443
Given numbers has no common factors except 1. So, there LCM is their product i.e 2173356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2173356
Therefore, the GCF of Fractions 4872/292,8376/7443 is 24/2173356
Least Common Multiple of 292,7443 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 292,7443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,7443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,7443) x common factors =1 x 1 = 1
LCM(292,7443) = ( 292 × 7443 ) / 1
LCM(292,7443) = 2173356 / 1
LCM(292,7443) = 2173356
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FAQs on GCF of Fractions of 4872/292, 8376/7443
1. What is the HCF of 4872,8376?
The HCF of 4872,8376 is 24
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 4872/292, 8376/7443?
Answer: GCF of Numerators as per given numbers 4872/292, 8376/7443 is
GCF of Numerators i.e. for 4872,8376 is 24
LCM of denominators i.e. for 292,7443 is 2173356.
Thus, GCF of Fractions is 24/2173356.Finally, GCF of Fractions for 4872/292, 8376/7443 is 24/2173356.