GCF of 6168/431, 3792/9975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6168/431, 3792/9975 i.e 24/4299225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6168/431, 3792/9975.
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 6168/431,3792/9975?
Given fractions are 6168/431,3792/9975
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 6168/431,3792/9975, numerators are 6168,3792
Denominators are 431,9975
The GCF of 6168,3792 is 24 .
LCM of 431,9975 is 4299225.
The greatest common factor of 6168/431,3792/9975 = [GCF of 6168,3792]/[LCM of 431,9975]= 24/4299225
Therefore, the GCF of 6168/431,3792/9975 is 24/4299225.
To find the highest common factor of 6168,3792, we have to find the factors of both numbers and list the highest common factor.
The factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168
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 6168,3792 is 24.
Lets's calculate GCF of 6168,3792
| 2 | 6168, 3792 |
| 2 | 3084, 1896 |
| 2 | 1542, 948 |
| 3 | 771, 474 |
| 257, 158 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 6168,3792 By Matching Biggest Common Factor Method
Now, list down the factors of 6168
:1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168
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 6168,3792 . The biggest common factor number is the GCF number.
So the greatest common factor 6168,3792 is 24.
Lets's calculate LCM of 431,9975
Given numbers has no common factors except 1. So, there LCM is their product i.e 4299225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/4299225
Therefore, the GCF of Fractions 6168/431,3792/9975 is 24/4299225
Least Common Multiple of 431,9975 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 431,9975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,9975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,9975) x common factors =1 x 1 = 1
LCM(431,9975) = ( 431 × 9975 ) / 1
LCM(431,9975) = 4299225 / 1
LCM(431,9975) = 4299225
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FAQs on GCF of Fractions of 6168/431, 3792/9975
1. What is the HCF of 6168,3792?
The HCF of 6168,3792 is 24
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 6168/431, 3792/9975?
Answer: GCF of Numerators as per given numbers 6168/431, 3792/9975 is
GCF of Numerators i.e. for 6168,3792 is 24
LCM of denominators i.e. for 431,9975 is 4299225.
Thus, GCF of Fractions is 24/4299225.Finally, GCF of Fractions for 6168/431, 3792/9975 is 24/4299225.