GCF of 4133/199, 3792/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4133/199, 3792/416 i.e 1/82784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4133/199, 3792/416.
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 4133/199,3792/416?
Given fractions are 4133/199,3792/416
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 4133/199,3792/416, numerators are 4133,3792
Denominators are 199,416
The GCF of 4133,3792 is 1 .
LCM of 199,416 is 82784.
The greatest common factor of 4133/199,3792/416 = [GCF of 4133,3792]/[LCM of 199,416]= 1/82784
Therefore, the GCF of 4133/199,3792/416 is 1/82784.
To find the highest common factor of 4133,3792, we have to find the factors of both numbers and list the highest common factor.
The factors of 4133 are 1, 4133
The factors of 3792 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792
The HCF of 4133,3792 is 1.
Lets's calculate GCF of 4133,3792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4133,3792 By Matching Biggest Common Factor Method
Now, list down the factors of 4133
:1,4133
Now, list down the factors of 3792
:1,2,3,4,6,8,12,16,24,48,79,158,237,316,474,632,948,1264,1896,3792
Greatest Common Factor
We found the factors 4133,3792 . The biggest common factor number is the GCF number.
So the greatest common factor 4133,3792 is 1.
Lets's calculate LCM of 199,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 82784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82784
Therefore, the GCF of Fractions 4133/199,3792/416 is 1/82784
Least Common Multiple of 199,416 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 199,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,416) x common factors =1 x 1 = 1
LCM(199,416) = ( 199 × 416 ) / 1
LCM(199,416) = 82784 / 1
LCM(199,416) = 82784
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FAQs on GCF of Fractions of 4133/199, 3792/416
1. What is the HCF of 4133,3792?
The HCF of 4133,3792 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 4133/199, 3792/416?
Answer: GCF of Numerators as per given numbers 4133/199, 3792/416 is
GCF of Numerators i.e. for 4133,3792 is 1
LCM of denominators i.e. for 199,416 is 82784.
Thus, GCF of Fractions is 1/82784.Finally, GCF of Fractions for 4133/199, 3792/416 is 1/82784.