GCF of 3160/537, 6667/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3160/537, 6667/500 i.e 1/268500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3160/537, 6667/500.
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 3160/537,6667/500?
Given fractions are 3160/537,6667/500
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 3160/537,6667/500, numerators are 3160,6667
Denominators are 537,500
The GCF of 3160,6667 is 1 .
LCM of 537,500 is 268500.
The greatest common factor of 3160/537,6667/500 = [GCF of 3160,6667]/[LCM of 537,500]= 1/268500
Therefore, the GCF of 3160/537,6667/500 is 1/268500.
To find the highest common factor of 3160,6667, we have to find the factors of both numbers and list the highest common factor.
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The factors of 6667 are 1, 59, 113, 6667
The HCF of 3160,6667 is 1.
Lets's calculate GCF of 3160,6667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3160,6667 By Matching Biggest Common Factor Method
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Now, list down the factors of 6667
:1,59,113,6667
Greatest Common Factor
We found the factors 3160,6667 . The biggest common factor number is the GCF number.
So the greatest common factor 3160,6667 is 1.
Lets's calculate LCM of 537,500
Given numbers has no common factors except 1. So, there LCM is their product i.e 268500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268500
Therefore, the GCF of Fractions 3160/537,6667/500 is 1/268500
Least Common Multiple of 537,500 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 537,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,500) x common factors =1 x 1 = 1
LCM(537,500) = ( 537 × 500 ) / 1
LCM(537,500) = 268500 / 1
LCM(537,500) = 268500
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FAQs on GCF of Fractions of 3160/537, 6667/500
1. What is the HCF of 3160,6667?
The HCF of 3160,6667 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 3160/537, 6667/500?
Answer: GCF of Numerators as per given numbers 3160/537, 6667/500 is
GCF of Numerators i.e. for 3160,6667 is 1
LCM of denominators i.e. for 537,500 is 268500.
Thus, GCF of Fractions is 1/268500.Finally, GCF of Fractions for 3160/537, 6667/500 is 1/268500.