GCF of 4477/378, 7541/179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4477/378, 7541/179 i.e 1/67662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4477/378, 7541/179.
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 4477/378,7541/179?
Given fractions are 4477/378,7541/179
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 4477/378,7541/179, numerators are 4477,7541
Denominators are 378,179
The GCF of 4477,7541 is 1 .
LCM of 378,179 is 67662.
The greatest common factor of 4477/378,7541/179 = [GCF of 4477,7541]/[LCM of 378,179]= 1/67662
Therefore, the GCF of 4477/378,7541/179 is 1/67662.
To find the highest common factor of 4477,7541, we have to find the factors of both numbers and list the highest common factor.
The factors of 4477 are 1, 11, 37, 121, 407, 4477
The factors of 7541 are 1, 7541
The HCF of 4477,7541 is 1.
Lets's calculate GCF of 4477,7541
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4477,7541 By Matching Biggest Common Factor Method
Now, list down the factors of 4477
:1,11,37,121,407,4477
Now, list down the factors of 7541
:1,7541
Greatest Common Factor
We found the factors 4477,7541 . The biggest common factor number is the GCF number.
So the greatest common factor 4477,7541 is 1.
Lets's calculate LCM of 378,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 67662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67662
Therefore, the GCF of Fractions 4477/378,7541/179 is 1/67662
Least Common Multiple of 378,179 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 378,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,179) x common factors =1 x 1 = 1
LCM(378,179) = ( 378 × 179 ) / 1
LCM(378,179) = 67662 / 1
LCM(378,179) = 67662
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FAQs on GCF of Fractions of 4477/378, 7541/179
1. What is the HCF of 4477,7541?
The HCF of 4477,7541 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 4477/378, 7541/179?
Answer: GCF of Numerators as per given numbers 4477/378, 7541/179 is
GCF of Numerators i.e. for 4477,7541 is 1
LCM of denominators i.e. for 378,179 is 67662.
Thus, GCF of Fractions is 1/67662.Finally, GCF of Fractions for 4477/378, 7541/179 is 1/67662.