GCF of 4127/175, 7578/3847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4127/175, 7578/3847 i.e 1/673225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4127/175, 7578/3847.
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 4127/175,7578/3847?
Given fractions are 4127/175,7578/3847
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 4127/175,7578/3847, numerators are 4127,7578
Denominators are 175,3847
The GCF of 4127,7578 is 1 .
LCM of 175,3847 is 673225.
The greatest common factor of 4127/175,7578/3847 = [GCF of 4127,7578]/[LCM of 175,3847]= 1/673225
Therefore, the GCF of 4127/175,7578/3847 is 1/673225.
To find the highest common factor of 4127,7578, we have to find the factors of both numbers and list the highest common factor.
The factors of 4127 are 1, 4127
The factors of 7578 are 1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578
The HCF of 4127,7578 is 1.
Lets's calculate GCF of 4127,7578
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4127,7578 By Matching Biggest Common Factor Method
Now, list down the factors of 4127
:1,4127
Now, list down the factors of 7578
:1,2,3,6,9,18,421,842,1263,2526,3789,7578
Greatest Common Factor
We found the factors 4127,7578 . The biggest common factor number is the GCF number.
So the greatest common factor 4127,7578 is 1.
Lets's calculate LCM of 175,3847
Given numbers has no common factors except 1. So, there LCM is their product i.e 673225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673225
Therefore, the GCF of Fractions 4127/175,7578/3847 is 1/673225
Least Common Multiple of 175,3847 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 175,3847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,3847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,3847) x common factors =1 x 1 = 1
LCM(175,3847) = ( 175 × 3847 ) / 1
LCM(175,3847) = 673225 / 1
LCM(175,3847) = 673225
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FAQs on GCF of Fractions of 4127/175, 7578/3847
1. What is the HCF of 4127,7578?
The HCF of 4127,7578 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 4127/175, 7578/3847?
Answer: GCF of Numerators as per given numbers 4127/175, 7578/3847 is
GCF of Numerators i.e. for 4127,7578 is 1
LCM of denominators i.e. for 175,3847 is 673225.
Thus, GCF of Fractions is 1/673225.Finally, GCF of Fractions for 4127/175, 7578/3847 is 1/673225.