GCF of 1297/150, 1643/1134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1297/150, 1643/1134 i.e 1/28350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1297/150, 1643/1134.
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 1297/150,1643/1134?
Given fractions are 1297/150,1643/1134
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 1297/150,1643/1134, numerators are 1297,1643
Denominators are 150,1134
The GCF of 1297,1643 is 1 .
LCM of 150,1134 is 28350.
The greatest common factor of 1297/150,1643/1134 = [GCF of 1297,1643]/[LCM of 150,1134]= 1/28350
Therefore, the GCF of 1297/150,1643/1134 is 1/28350.
To find the highest common factor of 1297,1643, we have to find the factors of both numbers and list the highest common factor.
The factors of 1297 are 1, 1297
The factors of 1643 are 1, 31, 53, 1643
The HCF of 1297,1643 is 1.
Lets's calculate GCF of 1297,1643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1297,1643 By Matching Biggest Common Factor Method
Now, list down the factors of 1297
:1,1297
Now, list down the factors of 1643
:1,31,53,1643
Greatest Common Factor
We found the factors 1297,1643 . The biggest common factor number is the GCF number.
So the greatest common factor 1297,1643 is 1.
Lets's calculate LCM of 150,1134
| 2 | 150, 1134 |
| 3 | 75, 567 |
| 25, 189 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 189 = 28350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28350
Therefore, the GCF of Fractions 1297/150,1643/1134 is 1/28350
Least Common Multiple of 150,1134 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 150,1134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,1134) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(150,1134) x common factors =6 x 1 = 6
LCM(150,1134) = ( 150 × 1134 ) / 6
LCM(150,1134) = 170100 / 6
LCM(150,1134) = 28350
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FAQs on GCF of Fractions of 1297/150, 1643/1134
1. What is the HCF of 1297,1643?
The HCF of 1297,1643 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 1297/150, 1643/1134?
Answer: GCF of Numerators as per given numbers 1297/150, 1643/1134 is
GCF of Numerators i.e. for 1297,1643 is 1
LCM of denominators i.e. for 150,1134 is 28350.
Thus, GCF of Fractions is 1/28350.Finally, GCF of Fractions for 1297/150, 1643/1134 is 1/28350.