GCF of 3198/675, 1541/7181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3198/675, 1541/7181 i.e 1/4847175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3198/675, 1541/7181.
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 3198/675,1541/7181?
Given fractions are 3198/675,1541/7181
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 3198/675,1541/7181, numerators are 3198,1541
Denominators are 675,7181
The GCF of 3198,1541 is 1 .
LCM of 675,7181 is 4847175.
The greatest common factor of 3198/675,1541/7181 = [GCF of 3198,1541]/[LCM of 675,7181]= 1/4847175
Therefore, the GCF of 3198/675,1541/7181 is 1/4847175.
To find the highest common factor of 3198,1541, we have to find the factors of both numbers and list the highest common factor.
The factors of 3198 are 1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198
The factors of 1541 are 1, 23, 67, 1541
The HCF of 3198,1541 is 1.
Lets's calculate GCF of 3198,1541
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3198,1541 By Matching Biggest Common Factor Method
Now, list down the factors of 3198
:1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198
Now, list down the factors of 1541
:1,23,67,1541
Greatest Common Factor
We found the factors 3198,1541 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,1541 is 1.
Lets's calculate LCM of 675,7181
Given numbers has no common factors except 1. So, there LCM is their product i.e 4847175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4847175
Therefore, the GCF of Fractions 3198/675,1541/7181 is 1/4847175
Least Common Multiple of 675,7181 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 675,7181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,7181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,7181) x common factors =1 x 1 = 1
LCM(675,7181) = ( 675 × 7181 ) / 1
LCM(675,7181) = 4847175 / 1
LCM(675,7181) = 4847175
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FAQs on GCF of Fractions of 3198/675, 1541/7181
1. What is the HCF of 3198,1541?
The HCF of 3198,1541 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 3198/675, 1541/7181?
Answer: GCF of Numerators as per given numbers 3198/675, 1541/7181 is
GCF of Numerators i.e. for 3198,1541 is 1
LCM of denominators i.e. for 675,7181 is 4847175.
Thus, GCF of Fractions is 1/4847175.Finally, GCF of Fractions for 3198/675, 1541/7181 is 1/4847175.