GCF of 5755/206, 4504/3414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5755/206, 4504/3414 i.e 1/351642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5755/206, 4504/3414.
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 5755/206,4504/3414?
Given fractions are 5755/206,4504/3414
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 5755/206,4504/3414, numerators are 5755,4504
Denominators are 206,3414
The GCF of 5755,4504 is 1 .
LCM of 206,3414 is 351642.
The greatest common factor of 5755/206,4504/3414 = [GCF of 5755,4504]/[LCM of 206,3414]= 1/351642
Therefore, the GCF of 5755/206,4504/3414 is 1/351642.
To find the highest common factor of 5755,4504, we have to find the factors of both numbers and list the highest common factor.
The factors of 5755 are 1, 5, 1151, 5755
The factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504
The HCF of 5755,4504 is 1.
Lets's calculate GCF of 5755,4504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5755,4504 By Matching Biggest Common Factor Method
Now, list down the factors of 5755
:1,5,1151,5755
Now, list down the factors of 4504
:1,2,4,8,563,1126,2252,4504
Greatest Common Factor
We found the factors 5755,4504 . The biggest common factor number is the GCF number.
So the greatest common factor 5755,4504 is 1.
Lets's calculate LCM of 206,3414
| 2 | 206, 3414 |
| 103, 1707 |
∴ So the LCM of the given numbers is 2 x 103 x 1707 = 351642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351642
Therefore, the GCF of Fractions 5755/206,4504/3414 is 1/351642
Least Common Multiple of 206,3414 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 206,3414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,3414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,3414) x common factors =2 x 1 = 2
LCM(206,3414) = ( 206 × 3414 ) / 2
LCM(206,3414) = 703284 / 2
LCM(206,3414) = 351642
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FAQs on GCF of Fractions of 5755/206, 4504/3414
1. What is the HCF of 5755,4504?
The HCF of 5755,4504 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 5755/206, 4504/3414?
Answer: GCF of Numerators as per given numbers 5755/206, 4504/3414 is
GCF of Numerators i.e. for 5755,4504 is 1
LCM of denominators i.e. for 206,3414 is 351642.
Thus, GCF of Fractions is 1/351642.Finally, GCF of Fractions for 5755/206, 4504/3414 is 1/351642.