GCF of 38/884, 67/663, 220/108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/884, 67/663, 220/108 i.e 1/23868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/884, 67/663, 220/108.
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 38/884,67/663,220/108?
Given fractions are 38/884,67/663,220/108
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 38/884,67/663,220/108, numerators are 38,67,220
Denominators are 884,663,108
The GCF of 38,67,220 is 1 .
LCM of 884,663,108 is 23868.
The greatest common factor of 38/884,67/663,220/108 = [GCF of 38,67,220]/[LCM of 884,663,108]= 1/23868
Therefore, the GCF of 38/884,67/663,220/108 is 1/23868.
To find the highest common factor of 38,67,220, 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 67 are 1, 67
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 38,67,220 is 1.
Lets's calculate GCF of 38,67,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 38,67,220 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 67
:1,67
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 38,67,220 . The biggest common factor number is the GCF number.
So the greatest common factor 38,67,220 is 1.
Lets's calculate LCM of 884,663,108
| 2 | 884, 663, 108 |
| 2 | 442, 663, 54 |
| 3 | 221, 663, 27 |
| 13 | 221, 221, 9 |
| 17 | 17, 17, 9 |
| 1, 1, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 17 x 1 x 1 x 9 = 23868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23868
Therefore, the GCF of Fractions 38/884,67/663,220/108 is 1/23868
Least Common Multiple of 884,663,108 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 884,663,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,663,108) = 1
common factors(in case of two or more numbers have common factors) = 2652
GCF(884,663,108) x common factors =1 x 2652 = 2652
LCM(884,663,108) = ( 884 × 663 × 108 ) / 2652
LCM(884,663,108) = 63297936 / 2652
LCM(884,663,108) = 23868
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FAQs on GCF of Fractions of 38/884, 67/663, 220/108
1. What is the HCF of 38,67,220?
The HCF of 38,67,220 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 38/884, 67/663, 220/108?
Answer: GCF of Numerators as per given numbers 38/884, 67/663, 220/108 is
GCF of Numerators i.e. for 38,67,220 is 1
LCM of denominators i.e. for 884,663,108 is 23868.
Thus, GCF of Fractions is 1/23868.Finally, GCF of Fractions for 38/884, 67/663, 220/108 is 1/23868.