GCF of 5687/619, 8600/2520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5687/619, 8600/2520 i.e 1/1559880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5687/619, 8600/2520.
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 5687/619,8600/2520?
Given fractions are 5687/619,8600/2520
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 5687/619,8600/2520, numerators are 5687,8600
Denominators are 619,2520
The GCF of 5687,8600 is 1 .
LCM of 619,2520 is 1559880.
The greatest common factor of 5687/619,8600/2520 = [GCF of 5687,8600]/[LCM of 619,2520]= 1/1559880
Therefore, the GCF of 5687/619,8600/2520 is 1/1559880.
To find the highest common factor of 5687,8600, we have to find the factors of both numbers and list the highest common factor.
The factors of 5687 are 1, 11, 47, 121, 517, 5687
The factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600
The HCF of 5687,8600 is 1.
Lets's calculate GCF of 5687,8600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5687,8600 By Matching Biggest Common Factor Method
Now, list down the factors of 5687
:1,11,47,121,517,5687
Now, list down the factors of 8600
:1,2,4,5,8,10,20,25,40,43,50,86,100,172,200,215,344,430,860,1075,1720,2150,4300,8600
Greatest Common Factor
We found the factors 5687,8600 . The biggest common factor number is the GCF number.
So the greatest common factor 5687,8600 is 1.
Lets's calculate LCM of 619,2520
Given numbers has no common factors except 1. So, there LCM is their product i.e 1559880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1559880
Therefore, the GCF of Fractions 5687/619,8600/2520 is 1/1559880
Least Common Multiple of 619,2520 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 619,2520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,2520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,2520) x common factors =1 x 1 = 1
LCM(619,2520) = ( 619 × 2520 ) / 1
LCM(619,2520) = 1559880 / 1
LCM(619,2520) = 1559880
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FAQs on GCF of Fractions of 5687/619, 8600/2520
1. What is the HCF of 5687,8600?
The HCF of 5687,8600 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 5687/619, 8600/2520?
Answer: GCF of Numerators as per given numbers 5687/619, 8600/2520 is
GCF of Numerators i.e. for 5687,8600 is 1
LCM of denominators i.e. for 619,2520 is 1559880.
Thus, GCF of Fractions is 1/1559880.Finally, GCF of Fractions for 5687/619, 8600/2520 is 1/1559880.