GCF of 5345/643, 1785/2184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5345/643, 1785/2184 i.e 5/1404312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5345/643, 1785/2184.
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 5345/643,1785/2184?
Given fractions are 5345/643,1785/2184
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 5345/643,1785/2184, numerators are 5345,1785
Denominators are 643,2184
The GCF of 5345,1785 is 5 .
LCM of 643,2184 is 1404312.
The greatest common factor of 5345/643,1785/2184 = [GCF of 5345,1785]/[LCM of 643,2184]= 5/1404312
Therefore, the GCF of 5345/643,1785/2184 is 5/1404312.
To find the highest common factor of 5345,1785, we have to find the factors of both numbers and list the highest common factor.
The factors of 5345 are 1, 5, 1069, 5345
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The HCF of 5345,1785 is 5.
Lets's calculate GCF of 5345,1785
| 5 | 5345, 1785 |
| 1069, 357 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5345,1785 By Matching Biggest Common Factor Method
Now, list down the factors of 5345
:1,5,1069,5345
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors 5345,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 5345,1785 is 5.
Lets's calculate LCM of 643,2184
Given numbers has no common factors except 1. So, there LCM is their product i.e 1404312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1404312
Therefore, the GCF of Fractions 5345/643,1785/2184 is 5/1404312
Least Common Multiple of 643,2184 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 643,2184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,2184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,2184) x common factors =1 x 1 = 1
LCM(643,2184) = ( 643 × 2184 ) / 1
LCM(643,2184) = 1404312 / 1
LCM(643,2184) = 1404312
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FAQs on GCF of Fractions of 5345/643, 1785/2184
1. What is the HCF of 5345,1785?
The HCF of 5345,1785 is 5
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 5345/643, 1785/2184?
Answer: GCF of Numerators as per given numbers 5345/643, 1785/2184 is
GCF of Numerators i.e. for 5345,1785 is 5
LCM of denominators i.e. for 643,2184 is 1404312.
Thus, GCF of Fractions is 5/1404312.Finally, GCF of Fractions for 5345/643, 1785/2184 is 5/1404312.