GCF of 2002/755, 1531/5417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2002/755, 1531/5417 i.e 1/4089835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2002/755, 1531/5417.
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 2002/755,1531/5417?
Given fractions are 2002/755,1531/5417
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 2002/755,1531/5417, numerators are 2002,1531
Denominators are 755,5417
The GCF of 2002,1531 is 1 .
LCM of 755,5417 is 4089835.
The greatest common factor of 2002/755,1531/5417 = [GCF of 2002,1531]/[LCM of 755,5417]= 1/4089835
Therefore, the GCF of 2002/755,1531/5417 is 1/4089835.
To find the highest common factor of 2002,1531, we have to find the factors of both numbers and list the highest common factor.
The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002
The factors of 1531 are 1, 1531
The HCF of 2002,1531 is 1.
Lets's calculate GCF of 2002,1531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2002,1531 By Matching Biggest Common Factor Method
Now, list down the factors of 2002
:1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002
Now, list down the factors of 1531
:1,1531
Greatest Common Factor
We found the factors 2002,1531 . The biggest common factor number is the GCF number.
So the greatest common factor 2002,1531 is 1.
Lets's calculate LCM of 755,5417
Given numbers has no common factors except 1. So, there LCM is their product i.e 4089835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4089835
Therefore, the GCF of Fractions 2002/755,1531/5417 is 1/4089835
Least Common Multiple of 755,5417 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 755,5417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,5417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,5417) x common factors =1 x 1 = 1
LCM(755,5417) = ( 755 × 5417 ) / 1
LCM(755,5417) = 4089835 / 1
LCM(755,5417) = 4089835
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2002/755, 1531/5417
1. What is the HCF of 2002,1531?
The HCF of 2002,1531 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 2002/755, 1531/5417?
Answer: GCF of Numerators as per given numbers 2002/755, 1531/5417 is
GCF of Numerators i.e. for 2002,1531 is 1
LCM of denominators i.e. for 755,5417 is 4089835.
Thus, GCF of Fractions is 1/4089835.Finally, GCF of Fractions for 2002/755, 1531/5417 is 1/4089835.