GCF of 623/354, 5265/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 623/354, 5265/200 i.e 1/35400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/354, 5265/200.
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 623/354,5265/200?
Given fractions are 623/354,5265/200
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 623/354,5265/200, numerators are 623,5265
Denominators are 354,200
The GCF of 623,5265 is 1 .
LCM of 354,200 is 35400.
The greatest common factor of 623/354,5265/200 = [GCF of 623,5265]/[LCM of 354,200]= 1/35400
Therefore, the GCF of 623/354,5265/200 is 1/35400.
To find the highest common factor of 623,5265, we have to find the factors of both numbers and list the highest common factor.
The factors of 623 are 1, 7, 89, 623
The factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
The HCF of 623,5265 is 1.
Lets's calculate GCF of 623,5265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 623,5265 By Matching Biggest Common Factor Method
Now, list down the factors of 623
:1,7,89,623
Now, list down the factors of 5265
:1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265
Greatest Common Factor
We found the factors 623,5265 . The biggest common factor number is the GCF number.
So the greatest common factor 623,5265 is 1.
Lets's calculate LCM of 354,200
| 2 | 354, 200 |
| 177, 100 |
∴ So the LCM of the given numbers is 2 x 177 x 100 = 35400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35400
Therefore, the GCF of Fractions 623/354,5265/200 is 1/35400
Least Common Multiple of 354,200 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 354,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,200) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,200) x common factors =2 x 1 = 2
LCM(354,200) = ( 354 × 200 ) / 2
LCM(354,200) = 70800 / 2
LCM(354,200) = 35400
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FAQs on GCF of Fractions of 623/354, 5265/200
1. What is the HCF of 623,5265?
The HCF of 623,5265 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 623/354, 5265/200?
Answer: GCF of Numerators as per given numbers 623/354, 5265/200 is
GCF of Numerators i.e. for 623,5265 is 1
LCM of denominators i.e. for 354,200 is 35400.
Thus, GCF of Fractions is 1/35400.Finally, GCF of Fractions for 623/354, 5265/200 is 1/35400.