GCF of 6283/159, 6500/3740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6283/159, 6500/3740 i.e 1/594660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6283/159, 6500/3740.
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 6283/159,6500/3740?
Given fractions are 6283/159,6500/3740
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 6283/159,6500/3740, numerators are 6283,6500
Denominators are 159,3740
The GCF of 6283,6500 is 1 .
LCM of 159,3740 is 594660.
The greatest common factor of 6283/159,6500/3740 = [GCF of 6283,6500]/[LCM of 159,3740]= 1/594660
Therefore, the GCF of 6283/159,6500/3740 is 1/594660.
To find the highest common factor of 6283,6500, we have to find the factors of both numbers and list the highest common factor.
The factors of 6283 are 1, 61, 103, 6283
The factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
The HCF of 6283,6500 is 1.
Lets's calculate GCF of 6283,6500
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6283,6500 By Matching Biggest Common Factor Method
Now, list down the factors of 6283
:1,61,103,6283
Now, list down the factors of 6500
:1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Greatest Common Factor
We found the factors 6283,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 6283,6500 is 1.
Lets's calculate LCM of 159,3740
Given numbers has no common factors except 1. So, there LCM is their product i.e 594660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594660
Therefore, the GCF of Fractions 6283/159,6500/3740 is 1/594660
Least Common Multiple of 159,3740 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 159,3740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,3740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,3740) x common factors =1 x 1 = 1
LCM(159,3740) = ( 159 × 3740 ) / 1
LCM(159,3740) = 594660 / 1
LCM(159,3740) = 594660
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FAQs on GCF of Fractions of 6283/159, 6500/3740
1. What is the HCF of 6283,6500?
The HCF of 6283,6500 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 6283/159, 6500/3740?
Answer: GCF of Numerators as per given numbers 6283/159, 6500/3740 is
GCF of Numerators i.e. for 6283,6500 is 1
LCM of denominators i.e. for 159,3740 is 594660.
Thus, GCF of Fractions is 1/594660.Finally, GCF of Fractions for 6283/159, 6500/3740 is 1/594660.