GCF of 4003/647, 2982/5075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4003/647, 2982/5075 i.e 1/3283525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4003/647, 2982/5075.
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 4003/647,2982/5075?
Given fractions are 4003/647,2982/5075
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 4003/647,2982/5075, numerators are 4003,2982
Denominators are 647,5075
The GCF of 4003,2982 is 1 .
LCM of 647,5075 is 3283525.
The greatest common factor of 4003/647,2982/5075 = [GCF of 4003,2982]/[LCM of 647,5075]= 1/3283525
Therefore, the GCF of 4003/647,2982/5075 is 1/3283525.
To find the highest common factor of 4003,2982, we have to find the factors of both numbers and list the highest common factor.
The factors of 4003 are 1, 4003
The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982
The HCF of 4003,2982 is 1.
Lets's calculate GCF of 4003,2982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4003,2982 By Matching Biggest Common Factor Method
Now, list down the factors of 4003
:1,4003
Now, list down the factors of 2982
:1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982
Greatest Common Factor
We found the factors 4003,2982 . The biggest common factor number is the GCF number.
So the greatest common factor 4003,2982 is 1.
Lets's calculate LCM of 647,5075
Given numbers has no common factors except 1. So, there LCM is their product i.e 3283525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3283525
Therefore, the GCF of Fractions 4003/647,2982/5075 is 1/3283525
Least Common Multiple of 647,5075 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 647,5075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,5075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,5075) x common factors =1 x 1 = 1
LCM(647,5075) = ( 647 × 5075 ) / 1
LCM(647,5075) = 3283525 / 1
LCM(647,5075) = 3283525
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FAQs on GCF of Fractions of 4003/647, 2982/5075
1. What is the HCF of 4003,2982?
The HCF of 4003,2982 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 4003/647, 2982/5075?
Answer: GCF of Numerators as per given numbers 4003/647, 2982/5075 is
GCF of Numerators i.e. for 4003,2982 is 1
LCM of denominators i.e. for 647,5075 is 3283525.
Thus, GCF of Fractions is 1/3283525.Finally, GCF of Fractions for 4003/647, 2982/5075 is 1/3283525.