GCF of 4243/205, 3476/295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4243/205, 3476/295 i.e 1/12095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4243/205, 3476/295.
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 4243/205,3476/295?
Given fractions are 4243/205,3476/295
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 4243/205,3476/295, numerators are 4243,3476
Denominators are 205,295
The GCF of 4243,3476 is 1 .
LCM of 205,295 is 12095.
The greatest common factor of 4243/205,3476/295 = [GCF of 4243,3476]/[LCM of 205,295]= 1/12095
Therefore, the GCF of 4243/205,3476/295 is 1/12095.
To find the highest common factor of 4243,3476, we have to find the factors of both numbers and list the highest common factor.
The factors of 4243 are 1, 4243
The factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476
The HCF of 4243,3476 is 1.
Lets's calculate GCF of 4243,3476
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4243,3476 By Matching Biggest Common Factor Method
Now, list down the factors of 4243
:1,4243
Now, list down the factors of 3476
:1,2,4,11,22,44,79,158,316,869,1738,3476
Greatest Common Factor
We found the factors 4243,3476 . The biggest common factor number is the GCF number.
So the greatest common factor 4243,3476 is 1.
Lets's calculate LCM of 205,295
| 5 | 205, 295 |
| 41, 59 |
∴ So the LCM of the given numbers is 5 x 41 x 59 = 12095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12095
Therefore, the GCF of Fractions 4243/205,3476/295 is 1/12095
Least Common Multiple of 205,295 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 205,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,295) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,295) x common factors =5 x 1 = 5
LCM(205,295) = ( 205 × 295 ) / 5
LCM(205,295) = 60475 / 5
LCM(205,295) = 12095
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FAQs on GCF of Fractions of 4243/205, 3476/295
1. What is the HCF of 4243,3476?
The HCF of 4243,3476 is 1
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 4243/205, 3476/295?
Answer: GCF of Numerators as per given numbers 4243/205, 3476/295 is
GCF of Numerators i.e. for 4243,3476 is 1
LCM of denominators i.e. for 205,295 is 12095.
Thus, GCF of Fractions is 1/12095.Finally, GCF of Fractions for 4243/205, 3476/295 is 1/12095.