GCF of 388/988, 186/702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 388/988, 186/702 i.e 2/26676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/988, 186/702.
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 388/988,186/702?
Given fractions are 388/988,186/702
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 388/988,186/702, numerators are 388,186
Denominators are 988,702
The GCF of 388,186 is 2 .
LCM of 988,702 is 26676.
The greatest common factor of 388/988,186/702 = [GCF of 388,186]/[LCM of 988,702]= 2/26676
Therefore, the GCF of 388/988,186/702 is 2/26676.
To find the highest common factor of 388,186, we have to find the factors of both numbers and list the highest common factor.
The factors of 388 are 1, 2, 4, 97, 194, 388
The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186
The HCF of 388,186 is 2.
Lets's calculate GCF of 388,186
| 2 | 388, 186 |
| 194, 93 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 388,186 By Matching Biggest Common Factor Method
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 186
:1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 388,186 . The biggest common factor number is the GCF number.
So the greatest common factor 388,186 is 2.
Lets's calculate LCM of 988,702
| 2 | 988, 702 |
| 13 | 494, 351 |
| 38, 27 |
∴ So the LCM of the given numbers is 2 x 13 x 38 x 27 = 26676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26676
Therefore, the GCF of Fractions 388/988,186/702 is 2/26676
Least Common Multiple of 988,702 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 988,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,702) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(988,702) x common factors =26 x 1 = 26
LCM(988,702) = ( 988 × 702 ) / 26
LCM(988,702) = 693576 / 26
LCM(988,702) = 26676
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FAQs on GCF of Fractions of 388/988, 186/702
1. What is the HCF of 388,186?
The HCF of 388,186 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 388/988, 186/702?
Answer: GCF of Numerators as per given numbers 388/988, 186/702 is
GCF of Numerators i.e. for 388,186 is 2
LCM of denominators i.e. for 988,702 is 26676.
Thus, GCF of Fractions is 2/26676.Finally, GCF of Fractions for 388/988, 186/702 is 2/26676.