GCF of 1742/297, 6436/3073
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1742/297, 6436/3073 i.e 2/912681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1742/297, 6436/3073.
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 1742/297,6436/3073?
Given fractions are 1742/297,6436/3073
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 1742/297,6436/3073, numerators are 1742,6436
Denominators are 297,3073
The GCF of 1742,6436 is 2 .
LCM of 297,3073 is 912681.
The greatest common factor of 1742/297,6436/3073 = [GCF of 1742,6436]/[LCM of 297,3073]= 2/912681
Therefore, the GCF of 1742/297,6436/3073 is 2/912681.
To find the highest common factor of 1742,6436, we have to find the factors of both numbers and list the highest common factor.
The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742
The factors of 6436 are 1, 2, 4, 1609, 3218, 6436
The HCF of 1742,6436 is 2.
Lets's calculate GCF of 1742,6436
| 2 | 1742, 6436 |
| 871, 3218 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1742,6436 By Matching Biggest Common Factor Method
Now, list down the factors of 1742
:1,2,13,26,67,134,871,1742
Now, list down the factors of 6436
:1,2,4,1609,3218,6436
Greatest Common Factor
We found the factors 1742,6436 . The biggest common factor number is the GCF number.
So the greatest common factor 1742,6436 is 2.
Lets's calculate LCM of 297,3073
Given numbers has no common factors except 1. So, there LCM is their product i.e 912681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/912681
Therefore, the GCF of Fractions 1742/297,6436/3073 is 2/912681
Least Common Multiple of 297,3073 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 297,3073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,3073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,3073) x common factors =1 x 1 = 1
LCM(297,3073) = ( 297 × 3073 ) / 1
LCM(297,3073) = 912681 / 1
LCM(297,3073) = 912681
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FAQs on GCF of Fractions of 1742/297, 6436/3073
1. What is the HCF of 1742,6436?
The HCF of 1742,6436 is 2
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 1742/297, 6436/3073?
Answer: GCF of Numerators as per given numbers 1742/297, 6436/3073 is
GCF of Numerators i.e. for 1742,6436 is 2
LCM of denominators i.e. for 297,3073 is 912681.
Thus, GCF of Fractions is 2/912681.Finally, GCF of Fractions for 1742/297, 6436/3073 is 2/912681.