GCF of 5195/764, 8672/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5195/764, 8672/309 i.e 1/236076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5195/764, 8672/309.
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 5195/764,8672/309?
Given fractions are 5195/764,8672/309
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 5195/764,8672/309, numerators are 5195,8672
Denominators are 764,309
The GCF of 5195,8672 is 1 .
LCM of 764,309 is 236076.
The greatest common factor of 5195/764,8672/309 = [GCF of 5195,8672]/[LCM of 764,309]= 1/236076
Therefore, the GCF of 5195/764,8672/309 is 1/236076.
To find the highest common factor of 5195,8672, we have to find the factors of both numbers and list the highest common factor.
The factors of 5195 are 1, 5, 1039, 5195
The factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672
The HCF of 5195,8672 is 1.
Lets's calculate GCF of 5195,8672
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5195,8672 By Matching Biggest Common Factor Method
Now, list down the factors of 5195
:1,5,1039,5195
Now, list down the factors of 8672
:1,2,4,8,16,32,271,542,1084,2168,4336,8672
Greatest Common Factor
We found the factors 5195,8672 . The biggest common factor number is the GCF number.
So the greatest common factor 5195,8672 is 1.
Lets's calculate LCM of 764,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 236076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236076
Therefore, the GCF of Fractions 5195/764,8672/309 is 1/236076
Least Common Multiple of 764,309 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 764,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,309) x common factors =1 x 1 = 1
LCM(764,309) = ( 764 × 309 ) / 1
LCM(764,309) = 236076 / 1
LCM(764,309) = 236076
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FAQs on GCF of Fractions of 5195/764, 8672/309
1. What is the HCF of 5195,8672?
The HCF of 5195,8672 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 5195/764, 8672/309?
Answer: GCF of Numerators as per given numbers 5195/764, 8672/309 is
GCF of Numerators i.e. for 5195,8672 is 1
LCM of denominators i.e. for 764,309 is 236076.
Thus, GCF of Fractions is 1/236076.Finally, GCF of Fractions for 5195/764, 8672/309 is 1/236076.