GCF of 3857/764, 1275/8507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3857/764, 1275/8507 i.e 1/6499348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3857/764, 1275/8507.
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 3857/764,1275/8507?
Given fractions are 3857/764,1275/8507
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 3857/764,1275/8507, numerators are 3857,1275
Denominators are 764,8507
The GCF of 3857,1275 is 1 .
LCM of 764,8507 is 6499348.
The greatest common factor of 3857/764,1275/8507 = [GCF of 3857,1275]/[LCM of 764,8507]= 1/6499348
Therefore, the GCF of 3857/764,1275/8507 is 1/6499348.
To find the highest common factor of 3857,1275, we have to find the factors of both numbers and list the highest common factor.
The factors of 3857 are 1, 7, 19, 29, 133, 203, 551, 3857
The factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
The HCF of 3857,1275 is 1.
Lets's calculate GCF of 3857,1275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3857,1275 By Matching Biggest Common Factor Method
Now, list down the factors of 3857
:1,7,19,29,133,203,551,3857
Now, list down the factors of 1275
:1,3,5,15,17,25,51,75,85,255,425,1275
Greatest Common Factor
We found the factors 3857,1275 . The biggest common factor number is the GCF number.
So the greatest common factor 3857,1275 is 1.
Lets's calculate LCM of 764,8507
Given numbers has no common factors except 1. So, there LCM is their product i.e 6499348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6499348
Therefore, the GCF of Fractions 3857/764,1275/8507 is 1/6499348
Least Common Multiple of 764,8507 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 764,8507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,8507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,8507) x common factors =1 x 1 = 1
LCM(764,8507) = ( 764 × 8507 ) / 1
LCM(764,8507) = 6499348 / 1
LCM(764,8507) = 6499348
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FAQs on GCF of Fractions of 3857/764, 1275/8507
1. What is the HCF of 3857,1275?
The HCF of 3857,1275 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 3857/764, 1275/8507?
Answer: GCF of Numerators as per given numbers 3857/764, 1275/8507 is
GCF of Numerators i.e. for 3857,1275 is 1
LCM of denominators i.e. for 764,8507 is 6499348.
Thus, GCF of Fractions is 1/6499348.Finally, GCF of Fractions for 3857/764, 1275/8507 is 1/6499348.