GCF of 3001/466, 4992/4204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3001/466, 4992/4204 i.e 1/979532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3001/466, 4992/4204.
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 3001/466,4992/4204?
Given fractions are 3001/466,4992/4204
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 3001/466,4992/4204, numerators are 3001,4992
Denominators are 466,4204
The GCF of 3001,4992 is 1 .
LCM of 466,4204 is 979532.
The greatest common factor of 3001/466,4992/4204 = [GCF of 3001,4992]/[LCM of 466,4204]= 1/979532
Therefore, the GCF of 3001/466,4992/4204 is 1/979532.
To find the highest common factor of 3001,4992, we have to find the factors of both numbers and list the highest common factor.
The factors of 3001 are 1, 3001
The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992
The HCF of 3001,4992 is 1.
Lets's calculate GCF of 3001,4992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3001,4992 By Matching Biggest Common Factor Method
Now, list down the factors of 3001
:1,3001
Now, list down the factors of 4992
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992
Greatest Common Factor
We found the factors 3001,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 3001,4992 is 1.
Lets's calculate LCM of 466,4204
| 2 | 466, 4204 |
| 233, 2102 |
∴ So the LCM of the given numbers is 2 x 233 x 2102 = 979532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/979532
Therefore, the GCF of Fractions 3001/466,4992/4204 is 1/979532
Least Common Multiple of 466,4204 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 466,4204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,4204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,4204) x common factors =2 x 1 = 2
LCM(466,4204) = ( 466 × 4204 ) / 2
LCM(466,4204) = 1959064 / 2
LCM(466,4204) = 979532
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FAQs on GCF of Fractions of 3001/466, 4992/4204
1. What is the HCF of 3001,4992?
The HCF of 3001,4992 is 1
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 3001/466, 4992/4204?
Answer: GCF of Numerators as per given numbers 3001/466, 4992/4204 is
GCF of Numerators i.e. for 3001,4992 is 1
LCM of denominators i.e. for 466,4204 is 979532.
Thus, GCF of Fractions is 1/979532.Finally, GCF of Fractions for 3001/466, 4992/4204 is 1/979532.