GCF of 3198/555, 4145/4763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3198/555, 4145/4763 i.e 1/2643465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3198/555, 4145/4763.
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 3198/555,4145/4763?
Given fractions are 3198/555,4145/4763
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 3198/555,4145/4763, numerators are 3198,4145
Denominators are 555,4763
The GCF of 3198,4145 is 1 .
LCM of 555,4763 is 2643465.
The greatest common factor of 3198/555,4145/4763 = [GCF of 3198,4145]/[LCM of 555,4763]= 1/2643465
Therefore, the GCF of 3198/555,4145/4763 is 1/2643465.
To find the highest common factor of 3198,4145, 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 4145 are 1, 5, 829, 4145
The HCF of 3198,4145 is 1.
Lets's calculate GCF of 3198,4145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3198,4145 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 4145
:1,5,829,4145
Greatest Common Factor
We found the factors 3198,4145 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,4145 is 1.
Lets's calculate LCM of 555,4763
Given numbers has no common factors except 1. So, there LCM is their product i.e 2643465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2643465
Therefore, the GCF of Fractions 3198/555,4145/4763 is 1/2643465
Least Common Multiple of 555,4763 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 555,4763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,4763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,4763) x common factors =1 x 1 = 1
LCM(555,4763) = ( 555 × 4763 ) / 1
LCM(555,4763) = 2643465 / 1
LCM(555,4763) = 2643465
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FAQs on GCF of Fractions of 3198/555, 4145/4763
1. What is the HCF of 3198,4145?
The HCF of 3198,4145 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 3198/555, 4145/4763?
Answer: GCF of Numerators as per given numbers 3198/555, 4145/4763 is
GCF of Numerators i.e. for 3198,4145 is 1
LCM of denominators i.e. for 555,4763 is 2643465.
Thus, GCF of Fractions is 1/2643465.Finally, GCF of Fractions for 3198/555, 4145/4763 is 1/2643465.