GCF of 7407/473, 1712/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7407/473, 1712/734 i.e 1/347182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7407/473, 1712/734.
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 7407/473,1712/734?
Given fractions are 7407/473,1712/734
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 7407/473,1712/734, numerators are 7407,1712
Denominators are 473,734
The GCF of 7407,1712 is 1 .
LCM of 473,734 is 347182.
The greatest common factor of 7407/473,1712/734 = [GCF of 7407,1712]/[LCM of 473,734]= 1/347182
Therefore, the GCF of 7407/473,1712/734 is 1/347182.
To find the highest common factor of 7407,1712, we have to find the factors of both numbers and list the highest common factor.
The factors of 7407 are 1, 3, 9, 823, 2469, 7407
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
The HCF of 7407,1712 is 1.
Lets's calculate GCF of 7407,1712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7407,1712 By Matching Biggest Common Factor Method
Now, list down the factors of 7407
:1,3,9,823,2469,7407
Now, list down the factors of 1712
:1,2,4,8,16,107,214,428,856,1712
Greatest Common Factor
We found the factors 7407,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 7407,1712 is 1.
Lets's calculate LCM of 473,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 347182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347182
Therefore, the GCF of Fractions 7407/473,1712/734 is 1/347182
Least Common Multiple of 473,734 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 473,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,734) x common factors =1 x 1 = 1
LCM(473,734) = ( 473 × 734 ) / 1
LCM(473,734) = 347182 / 1
LCM(473,734) = 347182
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FAQs on GCF of Fractions of 7407/473, 1712/734
1. What is the HCF of 7407,1712?
The HCF of 7407,1712 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 7407/473, 1712/734?
Answer: GCF of Numerators as per given numbers 7407/473, 1712/734 is
GCF of Numerators i.e. for 7407,1712 is 1
LCM of denominators i.e. for 473,734 is 347182.
Thus, GCF of Fractions is 1/347182.Finally, GCF of Fractions for 7407/473, 1712/734 is 1/347182.