GCF of 7404/47, 3003/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7404/47, 3003/857 i.e 3/40279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7404/47, 3003/857.
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 7404/47,3003/857?
Given fractions are 7404/47,3003/857
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 7404/47,3003/857, numerators are 7404,3003
Denominators are 47,857
The GCF of 7404,3003 is 3 .
LCM of 47,857 is 40279.
The greatest common factor of 7404/47,3003/857 = [GCF of 7404,3003]/[LCM of 47,857]= 3/40279
Therefore, the GCF of 7404/47,3003/857 is 3/40279.
To find the highest common factor of 7404,3003, we have to find the factors of both numbers and list the highest common factor.
The factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003
The HCF of 7404,3003 is 3.
Lets's calculate GCF of 7404,3003
| 3 | 7404, 3003 |
| 2468, 1001 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7404,3003 By Matching Biggest Common Factor Method
Now, list down the factors of 7404
:1,2,3,4,6,12,617,1234,1851,2468,3702,7404
Now, list down the factors of 3003
:1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Greatest Common Factor
We found the factors 7404,3003 . The biggest common factor number is the GCF number.
So the greatest common factor 7404,3003 is 3.
Lets's calculate LCM of 47,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 40279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40279
Therefore, the GCF of Fractions 7404/47,3003/857 is 3/40279
Least Common Multiple of 47,857 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 47,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,857) x common factors =1 x 1 = 1
LCM(47,857) = ( 47 × 857 ) / 1
LCM(47,857) = 40279 / 1
LCM(47,857) = 40279
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FAQs on GCF of Fractions of 7404/47, 3003/857
1. What is the HCF of 7404,3003?
The HCF of 7404,3003 is 3
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 7404/47, 3003/857?
Answer: GCF of Numerators as per given numbers 7404/47, 3003/857 is
GCF of Numerators i.e. for 7404,3003 is 3
LCM of denominators i.e. for 47,857 is 40279.
Thus, GCF of Fractions is 3/40279.Finally, GCF of Fractions for 7404/47, 3003/857 is 3/40279.