GCF of 6857/619, 5180/2148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6857/619, 5180/2148 i.e 1/1329612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6857/619, 5180/2148.
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 6857/619,5180/2148?
Given fractions are 6857/619,5180/2148
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 6857/619,5180/2148, numerators are 6857,5180
Denominators are 619,2148
The GCF of 6857,5180 is 1 .
LCM of 619,2148 is 1329612.
The greatest common factor of 6857/619,5180/2148 = [GCF of 6857,5180]/[LCM of 619,2148]= 1/1329612
Therefore, the GCF of 6857/619,5180/2148 is 1/1329612.
To find the highest common factor of 6857,5180, we have to find the factors of both numbers and list the highest common factor.
The factors of 6857 are 1, 6857
The factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180
The HCF of 6857,5180 is 1.
Lets's calculate GCF of 6857,5180
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6857,5180 By Matching Biggest Common Factor Method
Now, list down the factors of 6857
:1,6857
Now, list down the factors of 5180
:1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180
Greatest Common Factor
We found the factors 6857,5180 . The biggest common factor number is the GCF number.
So the greatest common factor 6857,5180 is 1.
Lets's calculate LCM of 619,2148
Given numbers has no common factors except 1. So, there LCM is their product i.e 1329612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1329612
Therefore, the GCF of Fractions 6857/619,5180/2148 is 1/1329612
Least Common Multiple of 619,2148 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 619,2148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,2148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,2148) x common factors =1 x 1 = 1
LCM(619,2148) = ( 619 × 2148 ) / 1
LCM(619,2148) = 1329612 / 1
LCM(619,2148) = 1329612
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FAQs on GCF of Fractions of 6857/619, 5180/2148
1. What is the HCF of 6857,5180?
The HCF of 6857,5180 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 6857/619, 5180/2148?
Answer: GCF of Numerators as per given numbers 6857/619, 5180/2148 is
GCF of Numerators i.e. for 6857,5180 is 1
LCM of denominators i.e. for 619,2148 is 1329612.
Thus, GCF of Fractions is 1/1329612.Finally, GCF of Fractions for 6857/619, 5180/2148 is 1/1329612.