GCF of 533/135, 6857/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 533/135, 6857/964 i.e 1/130140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 533/135, 6857/964.
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 533/135,6857/964?
Given fractions are 533/135,6857/964
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 533/135,6857/964, numerators are 533,6857
Denominators are 135,964
The GCF of 533,6857 is 1 .
LCM of 135,964 is 130140.
The greatest common factor of 533/135,6857/964 = [GCF of 533,6857]/[LCM of 135,964]= 1/130140
Therefore, the GCF of 533/135,6857/964 is 1/130140.
To find the highest common factor of 533,6857, we have to find the factors of both numbers and list the highest common factor.
The factors of 533 are 1, 13, 41, 533
The factors of 6857 are 1, 6857
The HCF of 533,6857 is 1.
Lets's calculate GCF of 533,6857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 533,6857 By Matching Biggest Common Factor Method
Now, list down the factors of 533
:1,13,41,533
Now, list down the factors of 6857
:1,6857
Greatest Common Factor
We found the factors 533,6857 . The biggest common factor number is the GCF number.
So the greatest common factor 533,6857 is 1.
Lets's calculate LCM of 135,964
Given numbers has no common factors except 1. So, there LCM is their product i.e 130140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130140
Therefore, the GCF of Fractions 533/135,6857/964 is 1/130140
Least Common Multiple of 135,964 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 135,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,964) x common factors =1 x 1 = 1
LCM(135,964) = ( 135 × 964 ) / 1
LCM(135,964) = 130140 / 1
LCM(135,964) = 130140
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FAQs on GCF of Fractions of 533/135, 6857/964
1. What is the HCF of 533,6857?
The HCF of 533,6857 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 533/135, 6857/964?
Answer: GCF of Numerators as per given numbers 533/135, 6857/964 is
GCF of Numerators i.e. for 533,6857 is 1
LCM of denominators i.e. for 135,964 is 130140.
Thus, GCF of Fractions is 1/130140.Finally, GCF of Fractions for 533/135, 6857/964 is 1/130140.