GCF of 4785/738, 2189/8800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4785/738, 2189/8800 i.e 11/3247200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4785/738, 2189/8800.
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 4785/738,2189/8800?
Given fractions are 4785/738,2189/8800
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 4785/738,2189/8800, numerators are 4785,2189
Denominators are 738,8800
The GCF of 4785,2189 is 11 .
LCM of 738,8800 is 3247200.
The greatest common factor of 4785/738,2189/8800 = [GCF of 4785,2189]/[LCM of 738,8800]= 11/3247200
Therefore, the GCF of 4785/738,2189/8800 is 11/3247200.
To find the highest common factor of 4785,2189, we have to find the factors of both numbers and list the highest common factor.
The factors of 4785 are 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785
The factors of 2189 are 1, 11, 199, 2189
The HCF of 4785,2189 is 11.
Lets's calculate GCF of 4785,2189
| 11 | 4785, 2189 |
| 435, 199 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4785,2189 By Matching Biggest Common Factor Method
Now, list down the factors of 4785
:1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785
Now, list down the factors of 2189
:1,11,199,2189
Greatest Common Factor
We found the factors 4785,2189 . The biggest common factor number is the GCF number.
So the greatest common factor 4785,2189 is 11.
Lets's calculate LCM of 738,8800
| 2 | 738, 8800 |
| 369, 4400 |
∴ So the LCM of the given numbers is 2 x 369 x 4400 = 3247200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3247200
Therefore, the GCF of Fractions 4785/738,2189/8800 is 11/3247200
Least Common Multiple of 738,8800 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 738,8800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,8800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,8800) x common factors =2 x 1 = 2
LCM(738,8800) = ( 738 × 8800 ) / 2
LCM(738,8800) = 6494400 / 2
LCM(738,8800) = 3247200
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FAQs on GCF of Fractions of 4785/738, 2189/8800
1. What is the HCF of 4785,2189?
The HCF of 4785,2189 is 11
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 4785/738, 2189/8800?
Answer: GCF of Numerators as per given numbers 4785/738, 2189/8800 is
GCF of Numerators i.e. for 4785,2189 is 11
LCM of denominators i.e. for 738,8800 is 3247200.
Thus, GCF of Fractions is 11/3247200.Finally, GCF of Fractions for 4785/738, 2189/8800 is 11/3247200.