GCF of 38/964, 72/384, 624/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/964, 72/384, 624/862 i.e 2/39886464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/964, 72/384, 624/862.
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 38/964,72/384,624/862?
Given fractions are 38/964,72/384,624/862
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 38/964,72/384,624/862, numerators are 38,72,624
Denominators are 964,384,862
The GCF of 38,72,624 is 2 .
LCM of 964,384,862 is 39886464.
The greatest common factor of 38/964,72/384,624/862 = [GCF of 38,72,624]/[LCM of 964,384,862]= 2/39886464
Therefore, the GCF of 38/964,72/384,624/862 is 2/39886464.
To find the highest common factor of 38,72,624, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
The HCF of 38,72,624 is 2.
Lets's calculate GCF of 38,72,624
| 2 | 38, 72, 624 |
| 19, 36, 312 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 38,72,624 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 624
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 38,72,624 . The biggest common factor number is the GCF number.
So the greatest common factor 38,72,624 is 2.
Lets's calculate LCM of 964,384,862
| 2 | 964, 384, 862 |
| 2 | 482, 192, 431 |
| 241, 96, 431 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 96 x 431 = 39886464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39886464
Therefore, the GCF of Fractions 38/964,72/384,624/862 is 2/39886464
Least Common Multiple of 964,384,862 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 964,384,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,384,862) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(964,384,862) x common factors =2 x 4 = 8
LCM(964,384,862) = ( 964 × 384 × 862 ) / 8
LCM(964,384,862) = 319091712 / 8
LCM(964,384,862) = 39886464
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FAQs on GCF of Fractions of 38/964, 72/384, 624/862
1. What is the HCF of 38,72,624?
The HCF of 38,72,624 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 38/964, 72/384, 624/862?
Answer: GCF of Numerators as per given numbers 38/964, 72/384, 624/862 is
GCF of Numerators i.e. for 38,72,624 is 2
LCM of denominators i.e. for 964,384,862 is 39886464.
Thus, GCF of Fractions is 2/39886464.Finally, GCF of Fractions for 38/964, 72/384, 624/862 is 2/39886464.