GCF of 35/347, 3647/6833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/347, 3647/6833 i.e 7/2371051 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/347, 3647/6833.
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 35/347,3647/6833?
Given fractions are 35/347,3647/6833
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 35/347,3647/6833, numerators are 35,3647
Denominators are 347,6833
The GCF of 35,3647 is 7 .
LCM of 347,6833 is 2371051.
The greatest common factor of 35/347,3647/6833 = [GCF of 35,3647]/[LCM of 347,6833]= 7/2371051
Therefore, the GCF of 35/347,3647/6833 is 7/2371051.
To find the highest common factor of 35,3647, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 3647 are 1, 7, 521, 3647
The HCF of 35,3647 is 7.
Lets's calculate GCF of 35,3647
| 7 | 35, 3647 |
| 5, 521 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 35,3647 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 3647
:1,7,521,3647
Greatest Common Factor
We found the factors 35,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 35,3647 is 7.
Lets's calculate LCM of 347,6833
Given numbers has no common factors except 1. So, there LCM is their product i.e 2371051
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2371051
Therefore, the GCF of Fractions 35/347,3647/6833 is 7/2371051
Least Common Multiple of 347,6833 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 347,6833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,6833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,6833) x common factors =1 x 1 = 1
LCM(347,6833) = ( 347 × 6833 ) / 1
LCM(347,6833) = 2371051 / 1
LCM(347,6833) = 2371051
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FAQs on GCF of Fractions of 35/347, 3647/6833
1. What is the HCF of 35,3647?
The HCF of 35,3647 is 7
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 35/347, 3647/6833?
Answer: GCF of Numerators as per given numbers 35/347, 3647/6833 is
GCF of Numerators i.e. for 35,3647 is 7
LCM of denominators i.e. for 347,6833 is 2371051.
Thus, GCF of Fractions is 7/2371051.Finally, GCF of Fractions for 35/347, 3647/6833 is 7/2371051.