GCF of 8182/158, 7545/931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8182/158, 7545/931 i.e 1/147098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8182/158, 7545/931.
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 8182/158,7545/931?
Given fractions are 8182/158,7545/931
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 8182/158,7545/931, numerators are 8182,7545
Denominators are 158,931
The GCF of 8182,7545 is 1 .
LCM of 158,931 is 147098.
The greatest common factor of 8182/158,7545/931 = [GCF of 8182,7545]/[LCM of 158,931]= 1/147098
Therefore, the GCF of 8182/158,7545/931 is 1/147098.
To find the highest common factor of 8182,7545, we have to find the factors of both numbers and list the highest common factor.
The factors of 8182 are 1, 2, 4091, 8182
The factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545
The HCF of 8182,7545 is 1.
Lets's calculate GCF of 8182,7545
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8182,7545 By Matching Biggest Common Factor Method
Now, list down the factors of 8182
:1,2,4091,8182
Now, list down the factors of 7545
:1,3,5,15,503,1509,2515,7545
Greatest Common Factor
We found the factors 8182,7545 . The biggest common factor number is the GCF number.
So the greatest common factor 8182,7545 is 1.
Lets's calculate LCM of 158,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 147098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147098
Therefore, the GCF of Fractions 8182/158,7545/931 is 1/147098
Least Common Multiple of 158,931 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 158,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,931) x common factors =1 x 1 = 1
LCM(158,931) = ( 158 × 931 ) / 1
LCM(158,931) = 147098 / 1
LCM(158,931) = 147098
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FAQs on GCF of Fractions of 8182/158, 7545/931
1. What is the HCF of 8182,7545?
The HCF of 8182,7545 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 8182/158, 7545/931?
Answer: GCF of Numerators as per given numbers 8182/158, 7545/931 is
GCF of Numerators i.e. for 8182,7545 is 1
LCM of denominators i.e. for 158,931 is 147098.
Thus, GCF of Fractions is 1/147098.Finally, GCF of Fractions for 8182/158, 7545/931 is 1/147098.