GCF of 357/47, 344/607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 357/47, 344/607 i.e 1/28529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/47, 344/607.
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 357/47,344/607?
Given fractions are 357/47,344/607
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 357/47,344/607, numerators are 357,344
Denominators are 47,607
The GCF of 357,344 is 1 .
LCM of 47,607 is 28529.
The greatest common factor of 357/47,344/607 = [GCF of 357,344]/[LCM of 47,607]= 1/28529
Therefore, the GCF of 357/47,344/607 is 1/28529.
To find the highest common factor of 357,344, we have to find the factors of both numbers and list the highest common factor.
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The HCF of 357,344 is 1.
Lets's calculate GCF of 357,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 357,344 By Matching Biggest Common Factor Method
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 357,344 . The biggest common factor number is the GCF number.
So the greatest common factor 357,344 is 1.
Lets's calculate LCM of 47,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 28529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28529
Therefore, the GCF of Fractions 357/47,344/607 is 1/28529
Least Common Multiple of 47,607 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 47,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,607) x common factors =1 x 1 = 1
LCM(47,607) = ( 47 × 607 ) / 1
LCM(47,607) = 28529 / 1
LCM(47,607) = 28529
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 357/47, 344/607
1. What is the HCF of 357,344?
The HCF of 357,344 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 357/47, 344/607?
Answer: GCF of Numerators as per given numbers 357/47, 344/607 is
GCF of Numerators i.e. for 357,344 is 1
LCM of denominators i.e. for 47,607 is 28529.
Thus, GCF of Fractions is 1/28529.Finally, GCF of Fractions for 357/47, 344/607 is 1/28529.