GCF of 5706/408, 7430/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5706/408, 7430/674 i.e 2/137496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5706/408, 7430/674.
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 5706/408,7430/674?
Given fractions are 5706/408,7430/674
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 5706/408,7430/674, numerators are 5706,7430
Denominators are 408,674
The GCF of 5706,7430 is 2 .
LCM of 408,674 is 137496.
The greatest common factor of 5706/408,7430/674 = [GCF of 5706,7430]/[LCM of 408,674]= 2/137496
Therefore, the GCF of 5706/408,7430/674 is 2/137496.
To find the highest common factor of 5706,7430, we have to find the factors of both numbers and list the highest common factor.
The factors of 5706 are 1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706
The factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430
The HCF of 5706,7430 is 2.
Lets's calculate GCF of 5706,7430
| 2 | 5706, 7430 |
| 2853, 3715 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5706,7430 By Matching Biggest Common Factor Method
Now, list down the factors of 5706
:1,2,3,6,9,18,317,634,951,1902,2853,5706
Now, list down the factors of 7430
:1,2,5,10,743,1486,3715,7430
Greatest Common Factor
We found the factors 5706,7430 . The biggest common factor number is the GCF number.
So the greatest common factor 5706,7430 is 2.
Lets's calculate LCM of 408,674
| 2 | 408, 674 |
| 204, 337 |
∴ So the LCM of the given numbers is 2 x 204 x 337 = 137496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137496
Therefore, the GCF of Fractions 5706/408,7430/674 is 2/137496
Least Common Multiple of 408,674 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 408,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(408,674) x common factors =2 x 1 = 2
LCM(408,674) = ( 408 × 674 ) / 2
LCM(408,674) = 274992 / 2
LCM(408,674) = 137496
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FAQs on GCF of Fractions of 5706/408, 7430/674
1. What is the HCF of 5706,7430?
The HCF of 5706,7430 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 5706/408, 7430/674?
Answer: GCF of Numerators as per given numbers 5706/408, 7430/674 is
GCF of Numerators i.e. for 5706,7430 is 2
LCM of denominators i.e. for 408,674 is 137496.
Thus, GCF of Fractions is 2/137496.Finally, GCF of Fractions for 5706/408, 7430/674 is 2/137496.