GCF of 3607/475, 7324/4179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3607/475, 7324/4179 i.e 1/1985025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3607/475, 7324/4179.
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 3607/475,7324/4179?
Given fractions are 3607/475,7324/4179
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 3607/475,7324/4179, numerators are 3607,7324
Denominators are 475,4179
The GCF of 3607,7324 is 1 .
LCM of 475,4179 is 1985025.
The greatest common factor of 3607/475,7324/4179 = [GCF of 3607,7324]/[LCM of 475,4179]= 1/1985025
Therefore, the GCF of 3607/475,7324/4179 is 1/1985025.
To find the highest common factor of 3607,7324, we have to find the factors of both numbers and list the highest common factor.
The factors of 3607 are 1, 3607
The factors of 7324 are 1, 2, 4, 1831, 3662, 7324
The HCF of 3607,7324 is 1.
Lets's calculate GCF of 3607,7324
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3607,7324 By Matching Biggest Common Factor Method
Now, list down the factors of 3607
:1,3607
Now, list down the factors of 7324
:1,2,4,1831,3662,7324
Greatest Common Factor
We found the factors 3607,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 3607,7324 is 1.
Lets's calculate LCM of 475,4179
Given numbers has no common factors except 1. So, there LCM is their product i.e 1985025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1985025
Therefore, the GCF of Fractions 3607/475,7324/4179 is 1/1985025
Least Common Multiple of 475,4179 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 475,4179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,4179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,4179) x common factors =1 x 1 = 1
LCM(475,4179) = ( 475 × 4179 ) / 1
LCM(475,4179) = 1985025 / 1
LCM(475,4179) = 1985025
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FAQs on GCF of Fractions of 3607/475, 7324/4179
1. What is the HCF of 3607,7324?
The HCF of 3607,7324 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 3607/475, 7324/4179?
Answer: GCF of Numerators as per given numbers 3607/475, 7324/4179 is
GCF of Numerators i.e. for 3607,7324 is 1
LCM of denominators i.e. for 475,4179 is 1985025.
Thus, GCF of Fractions is 1/1985025.Finally, GCF of Fractions for 3607/475, 7324/4179 is 1/1985025.