GCF of 38/171, 115/988, 931/192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/171, 115/988, 931/192 i.e 1/142272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/171, 115/988, 931/192.
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 38/171,115/988,931/192?
Given fractions are 38/171,115/988,931/192
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 38/171,115/988,931/192, numerators are 38,115,931
Denominators are 171,988,192
The GCF of 38,115,931 is 1 .
LCM of 171,988,192 is 142272.
The greatest common factor of 38/171,115/988,931/192 = [GCF of 38,115,931]/[LCM of 171,988,192]= 1/142272
Therefore, the GCF of 38/171,115/988,931/192 is 1/142272.
To find the highest common factor of 38,115,931, 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 115 are 1, 5, 23, 115
The factors of 931 are 1, 7, 19, 49, 133, 931
The HCF of 38,115,931 is 1.
Lets's calculate GCF of 38,115,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 38,115,931 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 115
:1,5,23,115
Now, list down the factors of 931
:1,7,19,49,133,931
Greatest Common Factor
We found the factors 38,115,931 . The biggest common factor number is the GCF number.
So the greatest common factor 38,115,931 is 1.
Lets's calculate LCM of 171,988,192
| 2 | 171, 988, 192 |
| 2 | 171, 494, 96 |
| 3 | 171, 247, 48 |
| 19 | 57, 247, 16 |
| 3, 13, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 3 x 13 x 16 = 142272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142272
Therefore, the GCF of Fractions 38/171,115/988,931/192 is 1/142272
Least Common Multiple of 171,988,192 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 171,988,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,988,192) = 1
common factors(in case of two or more numbers have common factors) = 228
GCF(171,988,192) x common factors =1 x 228 = 228
LCM(171,988,192) = ( 171 × 988 × 192 ) / 228
LCM(171,988,192) = 32438016 / 228
LCM(171,988,192) = 142272
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FAQs on GCF of Fractions of 38/171, 115/988, 931/192
1. What is the HCF of 38,115,931?
The HCF of 38,115,931 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 38/171, 115/988, 931/192?
Answer: GCF of Numerators as per given numbers 38/171, 115/988, 931/192 is
GCF of Numerators i.e. for 38,115,931 is 1
LCM of denominators i.e. for 171,988,192 is 142272.
Thus, GCF of Fractions is 1/142272.Finally, GCF of Fractions for 38/171, 115/988, 931/192 is 1/142272.