Use our free GCF of Fractions Calculator tool to compute the GCF of 379/172, 988/995 i.e 1/171140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/172, 988/995.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 379/172,988/995
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 379/172,988/995, numerators are 379,988
Denominators are 172,995
The GCF of 379,988 is 1 .
LCM of 172,995 is 171140.
The greatest common factor of 379/172,988/995 = [GCF of 379,988]/[LCM of 172,995]= 1/171140
Therefore, the GCF of 379/172,988/995 is 1/171140.
To find the highest common factor of 379,988, we have to find the factors of both numbers and list the highest common factor.
The factors of 379 are 1, 379
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The HCF of 379,988 is 1.
Lets's calculate GCF of 379,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 379
:1,379
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 379,988 . The biggest common factor number is the GCF number.
So the greatest common factor 379,988 is 1.
Lets's calculate LCM of 172,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 171140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171140
Therefore, the GCF of Fractions 379/172,988/995 is 1/171140
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 172,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,995) x common factors =1 x 1 = 1
LCM(172,995) = ( 172 × 995 ) / 1
LCM(172,995) = 171140 / 1
LCM(172,995) = 171140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 379,988?
The HCF of 379,988 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 379/172, 988/995?
Answer: GCF of Numerators as per given numbers 379/172, 988/995 is
GCF of Numerators i.e. for 379,988 is 1
LCM of denominators i.e. for 172,995 is 171140.
Thus, GCF of Fractions is 1/171140.Finally, GCF of Fractions for 379/172, 988/995 is 1/171140.