GCF of 348/199, 204/988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/199, 204/988 i.e 12/196612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/199, 204/988.
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 348/199,204/988?
Given fractions are 348/199,204/988
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 348/199,204/988, numerators are 348,204
Denominators are 199,988
The GCF of 348,204 is 12 .
LCM of 199,988 is 196612.
The greatest common factor of 348/199,204/988 = [GCF of 348,204]/[LCM of 199,988]= 12/196612
Therefore, the GCF of 348/199,204/988 is 12/196612.
To find the highest common factor of 348,204, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The HCF of 348,204 is 12.
Lets's calculate GCF of 348,204
| 2 | 348, 204 |
| 2 | 174, 102 |
| 3 | 87, 51 |
| 29, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 348,204 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 348,204 . The biggest common factor number is the GCF number.
So the greatest common factor 348,204 is 12.
Lets's calculate LCM of 199,988
Given numbers has no common factors except 1. So, there LCM is their product i.e 196612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/196612
Therefore, the GCF of Fractions 348/199,204/988 is 12/196612
Least Common Multiple of 199,988 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 199,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,988) x common factors =1 x 1 = 1
LCM(199,988) = ( 199 × 988 ) / 1
LCM(199,988) = 196612 / 1
LCM(199,988) = 196612
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FAQs on GCF of Fractions of 348/199, 204/988
1. What is the HCF of 348,204?
The HCF of 348,204 is 12
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 348/199, 204/988?
Answer: GCF of Numerators as per given numbers 348/199, 204/988 is
GCF of Numerators i.e. for 348,204 is 12
LCM of denominators i.e. for 199,988 is 196612.
Thus, GCF of Fractions is 12/196612.Finally, GCF of Fractions for 348/199, 204/988 is 12/196612.