GCF of 988/419, 380/148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 988/419, 380/148 i.e 76/62012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/419, 380/148.
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 988/419,380/148?
Given fractions are 988/419,380/148
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 988/419,380/148, numerators are 988,380
Denominators are 419,148
The GCF of 988,380 is 76 .
LCM of 419,148 is 62012.
The greatest common factor of 988/419,380/148 = [GCF of 988,380]/[LCM of 419,148]= 76/62012
Therefore, the GCF of 988/419,380/148 is 76/62012.
To find the highest common factor of 988,380, we have to find the factors of both numbers and list the highest common factor.
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
The HCF of 988,380 is 76.
Lets's calculate GCF of 988,380
| 2 | 988, 380 |
| 2 | 494, 190 |
| 19 | 247, 95 |
| 13, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Greatest Common Factor of 988,380 By Matching Biggest Common Factor Method
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Now, list down the factors of 380
:1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 988,380 . The biggest common factor number is the GCF number.
So the greatest common factor 988,380 is 76.
Lets's calculate LCM of 419,148
Given numbers has no common factors except 1. So, there LCM is their product i.e 62012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/62012
Therefore, the GCF of Fractions 988/419,380/148 is 76/62012
Least Common Multiple of 419,148 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 419,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,148) x common factors =1 x 1 = 1
LCM(419,148) = ( 419 × 148 ) / 1
LCM(419,148) = 62012 / 1
LCM(419,148) = 62012
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FAQs on GCF of Fractions of 988/419, 380/148
1. What is the HCF of 988,380?
The HCF of 988,380 is 76
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 988/419, 380/148?
Answer: GCF of Numerators as per given numbers 988/419, 380/148 is
GCF of Numerators i.e. for 988,380 is 76
LCM of denominators i.e. for 419,148 is 62012.
Thus, GCF of Fractions is 76/62012.Finally, GCF of Fractions for 988/419, 380/148 is 76/62012.