GCF of 1002/503, 2847/1407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1002/503, 2847/1407 i.e 3/707721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1002/503, 2847/1407.
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 1002/503,2847/1407?
Given fractions are 1002/503,2847/1407
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 1002/503,2847/1407, numerators are 1002,2847
Denominators are 503,1407
The GCF of 1002,2847 is 3 .
LCM of 503,1407 is 707721.
The greatest common factor of 1002/503,2847/1407 = [GCF of 1002,2847]/[LCM of 503,1407]= 3/707721
Therefore, the GCF of 1002/503,2847/1407 is 3/707721.
To find the highest common factor of 1002,2847, we have to find the factors of both numbers and list the highest common factor.
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002
The factors of 2847 are 1, 3, 13, 39, 73, 219, 949, 2847
The HCF of 1002,2847 is 3.
Lets's calculate GCF of 1002,2847
| 3 | 1002, 2847 |
| 334, 949 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1002,2847 By Matching Biggest Common Factor Method
Now, list down the factors of 1002
:1,2,3,6,167,334,501,1002
Now, list down the factors of 2847
:1,3,13,39,73,219,949,2847
Greatest Common Factor
We found the factors 1002,2847 . The biggest common factor number is the GCF number.
So the greatest common factor 1002,2847 is 3.
Lets's calculate LCM of 503,1407
Given numbers has no common factors except 1. So, there LCM is their product i.e 707721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/707721
Therefore, the GCF of Fractions 1002/503,2847/1407 is 3/707721
Least Common Multiple of 503,1407 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 503,1407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,1407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,1407) x common factors =1 x 1 = 1
LCM(503,1407) = ( 503 × 1407 ) / 1
LCM(503,1407) = 707721 / 1
LCM(503,1407) = 707721
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FAQs on GCF of Fractions of 1002/503, 2847/1407
1. What is the HCF of 1002,2847?
The HCF of 1002,2847 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 1002/503, 2847/1407?
Answer: GCF of Numerators as per given numbers 1002/503, 2847/1407 is
GCF of Numerators i.e. for 1002,2847 is 3
LCM of denominators i.e. for 503,1407 is 707721.
Thus, GCF of Fractions is 3/707721.Finally, GCF of Fractions for 1002/503, 2847/1407 is 3/707721.