GCF of 2363/587, 7795/2130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2363/587, 7795/2130 i.e 1/1250310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2363/587, 7795/2130.
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 2363/587,7795/2130?
Given fractions are 2363/587,7795/2130
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 2363/587,7795/2130, numerators are 2363,7795
Denominators are 587,2130
The GCF of 2363,7795 is 1 .
LCM of 587,2130 is 1250310.
The greatest common factor of 2363/587,7795/2130 = [GCF of 2363,7795]/[LCM of 587,2130]= 1/1250310
Therefore, the GCF of 2363/587,7795/2130 is 1/1250310.
To find the highest common factor of 2363,7795, we have to find the factors of both numbers and list the highest common factor.
The factors of 2363 are 1, 17, 139, 2363
The factors of 7795 are 1, 5, 1559, 7795
The HCF of 2363,7795 is 1.
Lets's calculate GCF of 2363,7795
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2363,7795 By Matching Biggest Common Factor Method
Now, list down the factors of 2363
:1,17,139,2363
Now, list down the factors of 7795
:1,5,1559,7795
Greatest Common Factor
We found the factors 2363,7795 . The biggest common factor number is the GCF number.
So the greatest common factor 2363,7795 is 1.
Lets's calculate LCM of 587,2130
Given numbers has no common factors except 1. So, there LCM is their product i.e 1250310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1250310
Therefore, the GCF of Fractions 2363/587,7795/2130 is 1/1250310
Least Common Multiple of 587,2130 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 587,2130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,2130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,2130) x common factors =1 x 1 = 1
LCM(587,2130) = ( 587 × 2130 ) / 1
LCM(587,2130) = 1250310 / 1
LCM(587,2130) = 1250310
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FAQs on GCF of Fractions of 2363/587, 7795/2130
1. What is the HCF of 2363,7795?
The HCF of 2363,7795 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 2363/587, 7795/2130?
Answer: GCF of Numerators as per given numbers 2363/587, 7795/2130 is
GCF of Numerators i.e. for 2363,7795 is 1
LCM of denominators i.e. for 587,2130 is 1250310.
Thus, GCF of Fractions is 1/1250310.Finally, GCF of Fractions for 2363/587, 7795/2130 is 1/1250310.