GCF of 1997/970, 1199/9258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1997/970, 1199/9258 i.e 1/4490130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1997/970, 1199/9258.
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 1997/970,1199/9258?
Given fractions are 1997/970,1199/9258
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 1997/970,1199/9258, numerators are 1997,1199
Denominators are 970,9258
The GCF of 1997,1199 is 1 .
LCM of 970,9258 is 4490130.
The greatest common factor of 1997/970,1199/9258 = [GCF of 1997,1199]/[LCM of 970,9258]= 1/4490130
Therefore, the GCF of 1997/970,1199/9258 is 1/4490130.
To find the highest common factor of 1997,1199, we have to find the factors of both numbers and list the highest common factor.
The factors of 1997 are 1, 1997
The factors of 1199 are 1, 11, 109, 1199
The HCF of 1997,1199 is 1.
Lets's calculate GCF of 1997,1199
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1997,1199 By Matching Biggest Common Factor Method
Now, list down the factors of 1997
:1,1997
Now, list down the factors of 1199
:1,11,109,1199
Greatest Common Factor
We found the factors 1997,1199 . The biggest common factor number is the GCF number.
So the greatest common factor 1997,1199 is 1.
Lets's calculate LCM of 970,9258
| 2 | 970, 9258 |
| 485, 4629 |
∴ So the LCM of the given numbers is 2 x 485 x 4629 = 4490130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4490130
Therefore, the GCF of Fractions 1997/970,1199/9258 is 1/4490130
Least Common Multiple of 970,9258 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 970,9258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,9258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,9258) x common factors =2 x 1 = 2
LCM(970,9258) = ( 970 × 9258 ) / 2
LCM(970,9258) = 8980260 / 2
LCM(970,9258) = 4490130
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FAQs on GCF of Fractions of 1997/970, 1199/9258
1. What is the HCF of 1997,1199?
The HCF of 1997,1199 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 1997/970, 1199/9258?
Answer: GCF of Numerators as per given numbers 1997/970, 1199/9258 is
GCF of Numerators i.e. for 1997,1199 is 1
LCM of denominators i.e. for 970,9258 is 4490130.
Thus, GCF of Fractions is 1/4490130.Finally, GCF of Fractions for 1997/970, 1199/9258 is 1/4490130.