GCF of 356/504, 111/366, 414/543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 356/504, 111/366, 414/543 i.e 1/5564664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/504, 111/366, 414/543.
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 356/504,111/366,414/543?
Given fractions are 356/504,111/366,414/543
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 356/504,111/366,414/543, numerators are 356,111,414
Denominators are 504,366,543
The GCF of 356,111,414 is 1 .
LCM of 504,366,543 is 5564664.
The greatest common factor of 356/504,111/366,414/543 = [GCF of 356,111,414]/[LCM of 504,366,543]= 1/5564664
Therefore, the GCF of 356/504,111/366,414/543 is 1/5564664.
To find the highest common factor of 356,111,414, we have to find the factors of both numbers and list the highest common factor.
The factors of 356 are 1, 2, 4, 89, 178, 356
The factors of 111 are 1, 3, 37, 111
The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
The HCF of 356,111,414 is 1.
Lets's calculate GCF of 356,111,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 356,111,414 By Matching Biggest Common Factor Method
Now, list down the factors of 356
:1,2,4,89,178,356
Now, list down the factors of 111
:1,3,37,111
Now, list down the factors of 414
:1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 356,111,414 . The biggest common factor number is the GCF number.
So the greatest common factor 356,111,414 is 1.
Lets's calculate LCM of 504,366,543
| 2 | 504, 366, 543 |
| 3 | 252, 183, 543 |
| 84, 61, 181 |
∴ So the LCM of the given numbers is 2 x 3 x 84 x 61 x 181 = 5564664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5564664
Therefore, the GCF of Fractions 356/504,111/366,414/543 is 1/5564664
Least Common Multiple of 504,366,543 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 504,366,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,366,543) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(504,366,543) x common factors =3 x 6 = 18
LCM(504,366,543) = ( 504 × 366 × 543 ) / 18
LCM(504,366,543) = 100163952 / 18
LCM(504,366,543) = 5564664
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FAQs on GCF of Fractions of 356/504, 111/366, 414/543
1. What is the HCF of 356,111,414?
The HCF of 356,111,414 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 356/504, 111/366, 414/543?
Answer: GCF of Numerators as per given numbers 356/504, 111/366, 414/543 is
GCF of Numerators i.e. for 356,111,414 is 1
LCM of denominators i.e. for 504,366,543 is 5564664.
Thus, GCF of Fractions is 1/5564664.Finally, GCF of Fractions for 356/504, 111/366, 414/543 is 1/5564664.