GCF of 3598/421, 7419/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3598/421, 7419/712 i.e 1/299752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3598/421, 7419/712.
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 3598/421,7419/712?
Given fractions are 3598/421,7419/712
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 3598/421,7419/712, numerators are 3598,7419
Denominators are 421,712
The GCF of 3598,7419 is 1 .
LCM of 421,712 is 299752.
The greatest common factor of 3598/421,7419/712 = [GCF of 3598,7419]/[LCM of 421,712]= 1/299752
Therefore, the GCF of 3598/421,7419/712 is 1/299752.
To find the highest common factor of 3598,7419, we have to find the factors of both numbers and list the highest common factor.
The factors of 3598 are 1, 2, 7, 14, 257, 514, 1799, 3598
The factors of 7419 are 1, 3, 2473, 7419
The HCF of 3598,7419 is 1.
Lets's calculate GCF of 3598,7419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3598,7419 By Matching Biggest Common Factor Method
Now, list down the factors of 3598
:1,2,7,14,257,514,1799,3598
Now, list down the factors of 7419
:1,3,2473,7419
Greatest Common Factor
We found the factors 3598,7419 . The biggest common factor number is the GCF number.
So the greatest common factor 3598,7419 is 1.
Lets's calculate LCM of 421,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 299752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299752
Therefore, the GCF of Fractions 3598/421,7419/712 is 1/299752
Least Common Multiple of 421,712 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 421,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,712) x common factors =1 x 1 = 1
LCM(421,712) = ( 421 × 712 ) / 1
LCM(421,712) = 299752 / 1
LCM(421,712) = 299752
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FAQs on GCF of Fractions of 3598/421, 7419/712
1. What is the HCF of 3598,7419?
The HCF of 3598,7419 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 3598/421, 7419/712?
Answer: GCF of Numerators as per given numbers 3598/421, 7419/712 is
GCF of Numerators i.e. for 3598,7419 is 1
LCM of denominators i.e. for 421,712 is 299752.
Thus, GCF of Fractions is 1/299752.Finally, GCF of Fractions for 3598/421, 7419/712 is 1/299752.