GCF of 348/21, 318/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/21, 318/992 i.e 6/20832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/21, 318/992.
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 348/21,318/992?
Given fractions are 348/21,318/992
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 348/21,318/992, numerators are 348,318
Denominators are 21,992
The GCF of 348,318 is 6 .
LCM of 21,992 is 20832.
The greatest common factor of 348/21,318/992 = [GCF of 348,318]/[LCM of 21,992]= 6/20832
Therefore, the GCF of 348/21,318/992 is 6/20832.
To find the highest common factor of 348,318, 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 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 348,318 is 6.
Lets's calculate GCF of 348,318
| 2 | 348, 318 |
| 3 | 174, 159 |
| 58, 53 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 348,318 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 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 348,318 . The biggest common factor number is the GCF number.
So the greatest common factor 348,318 is 6.
Lets's calculate LCM of 21,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 20832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/20832
Therefore, the GCF of Fractions 348/21,318/992 is 6/20832
Least Common Multiple of 21,992 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 21,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,992) x common factors =1 x 1 = 1
LCM(21,992) = ( 21 × 992 ) / 1
LCM(21,992) = 20832 / 1
LCM(21,992) = 20832
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FAQs on GCF of Fractions of 348/21, 318/992
1. What is the HCF of 348,318?
The HCF of 348,318 is 6
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 348/21, 318/992?
Answer: GCF of Numerators as per given numbers 348/21, 318/992 is
GCF of Numerators i.e. for 348,318 is 6
LCM of denominators i.e. for 21,992 is 20832.
Thus, GCF of Fractions is 6/20832.Finally, GCF of Fractions for 348/21, 318/992 is 6/20832.