GCF of 4/38, 82/83, 48/636, 432/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4/38, 82/83, 48/636, 432/863 i.e 2/865564836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/38, 82/83, 48/636, 432/863.
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 4/38,82/83,48/636,432/863?
Given fractions are 4/38,82/83,48/636,432/863
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 4/38,82/83,48/636,432/863, numerators are 4,82,48,432
Denominators are 38,83,636,863
The GCF of 4,82,48,432 is 2 .
LCM of 38,83,636,863 is 865564836.
The greatest common factor of 4/38,82/83,48/636,432/863 = [GCF of 4,82,48,432]/[LCM of 38,83,636,863]= 2/865564836
Therefore, the GCF of 4/38,82/83,48/636,432/863 is 2/865564836.
To find the highest common factor of 4,82,48,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 82 are 1, 2, 41, 82
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 4,82,48,432 is 2.
Lets's calculate GCF of 4,82,48,432
| 2 | 4, 82, 48, 432 |
| 2, 41, 24, 216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4,82,48,432 By Matching Biggest Common Factor Method
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 4,82,48,432 . The biggest common factor number is the GCF number.
So the greatest common factor 4,82,48,432 is 2.
Lets's calculate LCM of 38,83,636,863
| 2 | 38, 83, 636, 863 |
| 19, 83, 318, 863 |
∴ So the LCM of the given numbers is 2 x 19 x 83 x 318 x 863 = 865564836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/865564836
Therefore, the GCF of Fractions 4/38,82/83,48/636,432/863 is 2/865564836
Least Common Multiple of 38,83,636,863 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 38,83,636,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,83,636,863) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,83,636,863) x common factors =1 x 2 = 2
LCM(38,83,636,863) = ( 38 × 83 × 636 × 863 ) / 2
LCM(38,83,636,863) = 1731129672 / 2
LCM(38,83,636,863) = 865564836
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FAQs on GCF of Fractions of 4/38, 82/83, 48/636, 432/863
1. What is the HCF of 4,82,48,432?
The HCF of 4,82,48,432 is 2
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 4/38, 82/83, 48/636, 432/863?
Answer: GCF of Numerators as per given numbers 4/38, 82/83, 48/636, 432/863 is
GCF of Numerators i.e. for 4,82,48,432 is 2
LCM of denominators i.e. for 38,83,636,863 is 865564836.
Thus, GCF of Fractions is 2/865564836.Finally, GCF of Fractions for 4/38, 82/83, 48/636, 432/863 is 2/865564836.