GCF of 988/131, 209/443, 912/131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 988/131, 209/443, 912/131 i.e 19/58033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/131, 209/443, 912/131.
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Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 988/131,209/443,912/131?
Given fractions are 988/131,209/443,912/131
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 988/131,209/443,912/131, numerators are 988,209,912
Denominators are 131,443,131
The GCF of 988,209,912 is 19 .
LCM of 131,443,131 is 58033.
The greatest common factor of 988/131,209/443,912/131 = [GCF of 988,209,912]/[LCM of 131,443,131]= 19/58033
Therefore, the GCF of 988/131,209/443,912/131 is 19/58033.
To find the highest common factor of 988,209,912, 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 209 are 1, 11, 19, 209
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 988,209,912 is 19.
Lets's calculate GCF of 988,209,912
| 19 | 988, 209, 912 |
| 52, 11, 48 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 988,209,912 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 209
:1,11,19,209
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 988,209,912 . The biggest common factor number is the GCF number.
So the greatest common factor 988,209,912 is 19.
Lets's calculate LCM of 131,443,131
| 131 | 131, 443, 131 |
| 1, 443, 1 |
∴ So the LCM of the given numbers is 131 x 1 x 443 x 1 = 58033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/58033
Therefore, the GCF of Fractions 988/131,209/443,912/131 is 19/58033
Least Common Multiple of 131,443,131 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 131,443,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,443,131) = 1
common factors(in case of two or more numbers have common factors) = 131
GCF(131,443,131) x common factors =1 x 131 = 131
LCM(131,443,131) = ( 131 × 443 × 131 ) / 131
LCM(131,443,131) = 7602323 / 131
LCM(131,443,131) = 58033
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FAQs on GCF of Fractions of 988/131, 209/443, 912/131
1. What is the HCF of 988,209,912?
The HCF of 988,209,912 is 19
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 988/131, 209/443, 912/131?
Answer: GCF of Numerators as per given numbers 988/131, 209/443, 912/131 is
GCF of Numerators i.e. for 988,209,912 is 19
LCM of denominators i.e. for 131,443,131 is 58033.
Thus, GCF of Fractions is 19/58033.Finally, GCF of Fractions for 988/131, 209/443, 912/131 is 19/58033.