GCF of 8180/532, 8319/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8180/532, 8319/719 i.e 1/382508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8180/532, 8319/719.
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 8180/532,8319/719?
Given fractions are 8180/532,8319/719
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 8180/532,8319/719, numerators are 8180,8319
Denominators are 532,719
The GCF of 8180,8319 is 1 .
LCM of 532,719 is 382508.
The greatest common factor of 8180/532,8319/719 = [GCF of 8180,8319]/[LCM of 532,719]= 1/382508
Therefore, the GCF of 8180/532,8319/719 is 1/382508.
To find the highest common factor of 8180,8319, we have to find the factors of both numbers and list the highest common factor.
The factors of 8180 are 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180
The factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319
The HCF of 8180,8319 is 1.
Lets's calculate GCF of 8180,8319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8180,8319 By Matching Biggest Common Factor Method
Now, list down the factors of 8180
:1,2,4,5,10,20,409,818,1636,2045,4090,8180
Now, list down the factors of 8319
:1,3,47,59,141,177,2773,8319
Greatest Common Factor
We found the factors 8180,8319 . The biggest common factor number is the GCF number.
So the greatest common factor 8180,8319 is 1.
Lets's calculate LCM of 532,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 382508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382508
Therefore, the GCF of Fractions 8180/532,8319/719 is 1/382508
Least Common Multiple of 532,719 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 532,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,719) x common factors =1 x 1 = 1
LCM(532,719) = ( 532 × 719 ) / 1
LCM(532,719) = 382508 / 1
LCM(532,719) = 382508
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FAQs on GCF of Fractions of 8180/532, 8319/719
1. What is the HCF of 8180,8319?
The HCF of 8180,8319 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 8180/532, 8319/719?
Answer: GCF of Numerators as per given numbers 8180/532, 8319/719 is
GCF of Numerators i.e. for 8180,8319 is 1
LCM of denominators i.e. for 532,719 is 382508.
Thus, GCF of Fractions is 1/382508.Finally, GCF of Fractions for 8180/532, 8319/719 is 1/382508.