GCF of 1351/197, 2890/604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1351/197, 2890/604 i.e 1/118988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1351/197, 2890/604.
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 1351/197,2890/604?
Given fractions are 1351/197,2890/604
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 1351/197,2890/604, numerators are 1351,2890
Denominators are 197,604
The GCF of 1351,2890 is 1 .
LCM of 197,604 is 118988.
The greatest common factor of 1351/197,2890/604 = [GCF of 1351,2890]/[LCM of 197,604]= 1/118988
Therefore, the GCF of 1351/197,2890/604 is 1/118988.
To find the highest common factor of 1351,2890, we have to find the factors of both numbers and list the highest common factor.
The factors of 1351 are 1, 7, 193, 1351
The factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890
The HCF of 1351,2890 is 1.
Lets's calculate GCF of 1351,2890
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1351,2890 By Matching Biggest Common Factor Method
Now, list down the factors of 1351
:1,7,193,1351
Now, list down the factors of 2890
:1,2,5,10,17,34,85,170,289,578,1445,2890
Greatest Common Factor
We found the factors 1351,2890 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,2890 is 1.
Lets's calculate LCM of 197,604
Given numbers has no common factors except 1. So, there LCM is their product i.e 118988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118988
Therefore, the GCF of Fractions 1351/197,2890/604 is 1/118988
Least Common Multiple of 197,604 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 197,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,604) x common factors =1 x 1 = 1
LCM(197,604) = ( 197 × 604 ) / 1
LCM(197,604) = 118988 / 1
LCM(197,604) = 118988
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FAQs on GCF of Fractions of 1351/197, 2890/604
1. What is the HCF of 1351,2890?
The HCF of 1351,2890 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 1351/197, 2890/604?
Answer: GCF of Numerators as per given numbers 1351/197, 2890/604 is
GCF of Numerators i.e. for 1351,2890 is 1
LCM of denominators i.e. for 197,604 is 118988.
Thus, GCF of Fractions is 1/118988.Finally, GCF of Fractions for 1351/197, 2890/604 is 1/118988.