GCF of 4286/764, 8869/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4286/764, 8869/865 i.e 1/660860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4286/764, 8869/865.
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 4286/764,8869/865?
Given fractions are 4286/764,8869/865
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 4286/764,8869/865, numerators are 4286,8869
Denominators are 764,865
The GCF of 4286,8869 is 1 .
LCM of 764,865 is 660860.
The greatest common factor of 4286/764,8869/865 = [GCF of 4286,8869]/[LCM of 764,865]= 1/660860
Therefore, the GCF of 4286/764,8869/865 is 1/660860.
To find the highest common factor of 4286,8869, we have to find the factors of both numbers and list the highest common factor.
The factors of 4286 are 1, 2, 2143, 4286
The factors of 8869 are 1, 7, 49, 181, 1267, 8869
The HCF of 4286,8869 is 1.
Lets's calculate GCF of 4286,8869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4286,8869 By Matching Biggest Common Factor Method
Now, list down the factors of 4286
:1,2,2143,4286
Now, list down the factors of 8869
:1,7,49,181,1267,8869
Greatest Common Factor
We found the factors 4286,8869 . The biggest common factor number is the GCF number.
So the greatest common factor 4286,8869 is 1.
Lets's calculate LCM of 764,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 660860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660860
Therefore, the GCF of Fractions 4286/764,8869/865 is 1/660860
Least Common Multiple of 764,865 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 764,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,865) x common factors =1 x 1 = 1
LCM(764,865) = ( 764 × 865 ) / 1
LCM(764,865) = 660860 / 1
LCM(764,865) = 660860
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FAQs on GCF of Fractions of 4286/764, 8869/865
1. What is the HCF of 4286,8869?
The HCF of 4286,8869 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 4286/764, 8869/865?
Answer: GCF of Numerators as per given numbers 4286/764, 8869/865 is
GCF of Numerators i.e. for 4286,8869 is 1
LCM of denominators i.e. for 764,865 is 660860.
Thus, GCF of Fractions is 1/660860.Finally, GCF of Fractions for 4286/764, 8869/865 is 1/660860.