GCF of 3192/301, 7524/422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3192/301, 7524/422 i.e 228/127022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3192/301, 7524/422.
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 3192/301,7524/422?
Given fractions are 3192/301,7524/422
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 3192/301,7524/422, numerators are 3192,7524
Denominators are 301,422
The GCF of 3192,7524 is 228 .
LCM of 301,422 is 127022.
The greatest common factor of 3192/301,7524/422 = [GCF of 3192,7524]/[LCM of 301,422]= 228/127022
Therefore, the GCF of 3192/301,7524/422 is 228/127022.
To find the highest common factor of 3192,7524, we have to find the factors of both numbers and list the highest common factor.
The factors of 3192 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 399, 456, 532, 798, 1064, 1596, 3192
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The HCF of 3192,7524 is 228.
Lets's calculate GCF of 3192,7524
| 2 | 3192, 7524 |
| 2 | 1596, 3762 |
| 3 | 798, 1881 |
| 19 | 266, 627 |
| 14, 33 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 19 = 228
Greatest Common Factor of 3192,7524 By Matching Biggest Common Factor Method
Now, list down the factors of 3192
:1,2,3,4,6,7,8,12,14,19,21,24,28,38,42,56,57,76,84,114,133,152,168,228,266,399,456,532,798,1064,1596,3192
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Greatest Common Factor
We found the factors 3192,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 3192,7524 is 228.
Lets's calculate LCM of 301,422
Given numbers has no common factors except 1. So, there LCM is their product i.e 127022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 228/127022
Therefore, the GCF of Fractions 3192/301,7524/422 is 228/127022
Least Common Multiple of 301,422 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 301,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,422) x common factors =1 x 1 = 1
LCM(301,422) = ( 301 × 422 ) / 1
LCM(301,422) = 127022 / 1
LCM(301,422) = 127022
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FAQs on GCF of Fractions of 3192/301, 7524/422
1. What is the HCF of 3192,7524?
The HCF of 3192,7524 is 228
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 3192/301, 7524/422?
Answer: GCF of Numerators as per given numbers 3192/301, 7524/422 is
GCF of Numerators i.e. for 3192,7524 is 228
LCM of denominators i.e. for 301,422 is 127022.
Thus, GCF of Fractions is 228/127022.Finally, GCF of Fractions for 3192/301, 7524/422 is 228/127022.