GCF of 437/10, 368/6799
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 437/10, 368/6799 i.e 23/67990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/10, 368/6799.
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 437/10,368/6799?
Given fractions are 437/10,368/6799
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 437/10,368/6799, numerators are 437,368
Denominators are 10,6799
The GCF of 437,368 is 23 .
LCM of 10,6799 is 67990.
The greatest common factor of 437/10,368/6799 = [GCF of 437,368]/[LCM of 10,6799]= 23/67990
Therefore, the GCF of 437/10,368/6799 is 23/67990.
To find the highest common factor of 437,368, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The HCF of 437,368 is 23.
Lets's calculate GCF of 437,368
| 23 | 437, 368 |
| 19, 16 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 437,368 By Matching Biggest Common Factor Method
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 437,368 . The biggest common factor number is the GCF number.
So the greatest common factor 437,368 is 23.
Lets's calculate LCM of 10,6799
Given numbers has no common factors except 1. So, there LCM is their product i.e 67990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/67990
Therefore, the GCF of Fractions 437/10,368/6799 is 23/67990
Least Common Multiple of 10,6799 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 10,6799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,6799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,6799) x common factors =1 x 1 = 1
LCM(10,6799) = ( 10 × 6799 ) / 1
LCM(10,6799) = 67990 / 1
LCM(10,6799) = 67990
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FAQs on GCF of Fractions of 437/10, 368/6799
1. What is the HCF of 437,368?
The HCF of 437,368 is 23
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 437/10, 368/6799?
Answer: GCF of Numerators as per given numbers 437/10, 368/6799 is
GCF of Numerators i.e. for 437,368 is 23
LCM of denominators i.e. for 10,6799 is 67990.
Thus, GCF of Fractions is 23/67990.Finally, GCF of Fractions for 437/10, 368/6799 is 23/67990.