GCF of 1270/287, 9997/258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1270/287, 9997/258 i.e 1/74046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1270/287, 9997/258.
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 1270/287,9997/258?
Given fractions are 1270/287,9997/258
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 1270/287,9997/258, numerators are 1270,9997
Denominators are 287,258
The GCF of 1270,9997 is 1 .
LCM of 287,258 is 74046.
The greatest common factor of 1270/287,9997/258 = [GCF of 1270,9997]/[LCM of 287,258]= 1/74046
Therefore, the GCF of 1270/287,9997/258 is 1/74046.
To find the highest common factor of 1270,9997, we have to find the factors of both numbers and list the highest common factor.
The factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270
The factors of 9997 are 1, 13, 769, 9997
The HCF of 1270,9997 is 1.
Lets's calculate GCF of 1270,9997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1270,9997 By Matching Biggest Common Factor Method
Now, list down the factors of 1270
:1,2,5,10,127,254,635,1270
Now, list down the factors of 9997
:1,13,769,9997
Greatest Common Factor
We found the factors 1270,9997 . The biggest common factor number is the GCF number.
So the greatest common factor 1270,9997 is 1.
Lets's calculate LCM of 287,258
Given numbers has no common factors except 1. So, there LCM is their product i.e 74046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74046
Therefore, the GCF of Fractions 1270/287,9997/258 is 1/74046
Least Common Multiple of 287,258 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 287,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,258) x common factors =1 x 1 = 1
LCM(287,258) = ( 287 × 258 ) / 1
LCM(287,258) = 74046 / 1
LCM(287,258) = 74046
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FAQs on GCF of Fractions of 1270/287, 9997/258
1. What is the HCF of 1270,9997?
The HCF of 1270,9997 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 1270/287, 9997/258?
Answer: GCF of Numerators as per given numbers 1270/287, 9997/258 is
GCF of Numerators i.e. for 1270,9997 is 1
LCM of denominators i.e. for 287,258 is 74046.
Thus, GCF of Fractions is 1/74046.Finally, GCF of Fractions for 1270/287, 9997/258 is 1/74046.