GCF of 4836/420, 6072/2197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4836/420, 6072/2197 i.e 12/922740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4836/420, 6072/2197.
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 4836/420,6072/2197?
Given fractions are 4836/420,6072/2197
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 4836/420,6072/2197, numerators are 4836,6072
Denominators are 420,2197
The GCF of 4836,6072 is 12 .
LCM of 420,2197 is 922740.
The greatest common factor of 4836/420,6072/2197 = [GCF of 4836,6072]/[LCM of 420,2197]= 12/922740
Therefore, the GCF of 4836/420,6072/2197 is 12/922740.
To find the highest common factor of 4836,6072, we have to find the factors of both numbers and list the highest common factor.
The factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836
The factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072
The HCF of 4836,6072 is 12.
Lets's calculate GCF of 4836,6072
| 2 | 4836, 6072 |
| 2 | 2418, 3036 |
| 3 | 1209, 1518 |
| 403, 506 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4836,6072 By Matching Biggest Common Factor Method
Now, list down the factors of 4836
:1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836
Now, list down the factors of 6072
:1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072
Greatest Common Factor
We found the factors 4836,6072 . The biggest common factor number is the GCF number.
So the greatest common factor 4836,6072 is 12.
Lets's calculate LCM of 420,2197
Given numbers has no common factors except 1. So, there LCM is their product i.e 922740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/922740
Therefore, the GCF of Fractions 4836/420,6072/2197 is 12/922740
Least Common Multiple of 420,2197 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 420,2197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,2197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,2197) x common factors =1 x 1 = 1
LCM(420,2197) = ( 420 × 2197 ) / 1
LCM(420,2197) = 922740 / 1
LCM(420,2197) = 922740
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FAQs on GCF of Fractions of 4836/420, 6072/2197
1. What is the HCF of 4836,6072?
The HCF of 4836,6072 is 12
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 4836/420, 6072/2197?
Answer: GCF of Numerators as per given numbers 4836/420, 6072/2197 is
GCF of Numerators i.e. for 4836,6072 is 12
LCM of denominators i.e. for 420,2197 is 922740.
Thus, GCF of Fractions is 12/922740.Finally, GCF of Fractions for 4836/420, 6072/2197 is 12/922740.