GCF of 807/93, 163/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 807/93, 163/545 i.e 1/50685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/93, 163/545.
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 807/93,163/545?
Given fractions are 807/93,163/545
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 807/93,163/545, numerators are 807,163
Denominators are 93,545
The GCF of 807,163 is 1 .
LCM of 93,545 is 50685.
The greatest common factor of 807/93,163/545 = [GCF of 807,163]/[LCM of 93,545]= 1/50685
Therefore, the GCF of 807/93,163/545 is 1/50685.
To find the highest common factor of 807,163, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 163 are 1, 163
The HCF of 807,163 is 1.
Lets's calculate GCF of 807,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 807,163 By Matching Biggest Common Factor Method
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 163
:1,163
Greatest Common Factor
We found the factors 807,163 . The biggest common factor number is the GCF number.
So the greatest common factor 807,163 is 1.
Lets's calculate LCM of 93,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 50685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50685
Therefore, the GCF of Fractions 807/93,163/545 is 1/50685
Least Common Multiple of 93,545 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 93,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,545) x common factors =1 x 1 = 1
LCM(93,545) = ( 93 × 545 ) / 1
LCM(93,545) = 50685 / 1
LCM(93,545) = 50685
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FAQs on GCF of Fractions of 807/93, 163/545
1. What is the HCF of 807,163?
The HCF of 807,163 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 807/93, 163/545?
Answer: GCF of Numerators as per given numbers 807/93, 163/545 is
GCF of Numerators i.e. for 807,163 is 1
LCM of denominators i.e. for 93,545 is 50685.
Thus, GCF of Fractions is 1/50685.Finally, GCF of Fractions for 807/93, 163/545 is 1/50685.