GCF of 8227/504, 1270/601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8227/504, 1270/601 i.e 1/302904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8227/504, 1270/601.
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 8227/504,1270/601?
Given fractions are 8227/504,1270/601
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 8227/504,1270/601, numerators are 8227,1270
Denominators are 504,601
The GCF of 8227,1270 is 1 .
LCM of 504,601 is 302904.
The greatest common factor of 8227/504,1270/601 = [GCF of 8227,1270]/[LCM of 504,601]= 1/302904
Therefore, the GCF of 8227/504,1270/601 is 1/302904.
To find the highest common factor of 8227,1270, we have to find the factors of both numbers and list the highest common factor.
The factors of 8227 are 1, 19, 433, 8227
The factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270
The HCF of 8227,1270 is 1.
Lets's calculate GCF of 8227,1270
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8227,1270 By Matching Biggest Common Factor Method
Now, list down the factors of 8227
:1,19,433,8227
Now, list down the factors of 1270
:1,2,5,10,127,254,635,1270
Greatest Common Factor
We found the factors 8227,1270 . The biggest common factor number is the GCF number.
So the greatest common factor 8227,1270 is 1.
Lets's calculate LCM of 504,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 302904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302904
Therefore, the GCF of Fractions 8227/504,1270/601 is 1/302904
Least Common Multiple of 504,601 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 504,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(504,601) x common factors =1 x 1 = 1
LCM(504,601) = ( 504 × 601 ) / 1
LCM(504,601) = 302904 / 1
LCM(504,601) = 302904
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FAQs on GCF of Fractions of 8227/504, 1270/601
1. What is the HCF of 8227,1270?
The HCF of 8227,1270 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 8227/504, 1270/601?
Answer: GCF of Numerators as per given numbers 8227/504, 1270/601 is
GCF of Numerators i.e. for 8227,1270 is 1
LCM of denominators i.e. for 504,601 is 302904.
Thus, GCF of Fractions is 1/302904.Finally, GCF of Fractions for 8227/504, 1270/601 is 1/302904.