GCF of 3277/575, 9457/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3277/575, 9457/448 i.e 1/257600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3277/575, 9457/448.
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 3277/575,9457/448?
Given fractions are 3277/575,9457/448
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 3277/575,9457/448, numerators are 3277,9457
Denominators are 575,448
The GCF of 3277,9457 is 1 .
LCM of 575,448 is 257600.
The greatest common factor of 3277/575,9457/448 = [GCF of 3277,9457]/[LCM of 575,448]= 1/257600
Therefore, the GCF of 3277/575,9457/448 is 1/257600.
To find the highest common factor of 3277,9457, we have to find the factors of both numbers and list the highest common factor.
The factors of 3277 are 1, 29, 113, 3277
The factors of 9457 are 1, 7, 49, 193, 1351, 9457
The HCF of 3277,9457 is 1.
Lets's calculate GCF of 3277,9457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3277,9457 By Matching Biggest Common Factor Method
Now, list down the factors of 3277
:1,29,113,3277
Now, list down the factors of 9457
:1,7,49,193,1351,9457
Greatest Common Factor
We found the factors 3277,9457 . The biggest common factor number is the GCF number.
So the greatest common factor 3277,9457 is 1.
Lets's calculate LCM of 575,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 257600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257600
Therefore, the GCF of Fractions 3277/575,9457/448 is 1/257600
Least Common Multiple of 575,448 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 575,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,448) x common factors =1 x 1 = 1
LCM(575,448) = ( 575 × 448 ) / 1
LCM(575,448) = 257600 / 1
LCM(575,448) = 257600
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FAQs on GCF of Fractions of 3277/575, 9457/448
1. What is the HCF of 3277,9457?
The HCF of 3277,9457 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 3277/575, 9457/448?
Answer: GCF of Numerators as per given numbers 3277/575, 9457/448 is
GCF of Numerators i.e. for 3277,9457 is 1
LCM of denominators i.e. for 575,448 is 257600.
Thus, GCF of Fractions is 1/257600.Finally, GCF of Fractions for 3277/575, 9457/448 is 1/257600.