GCF of 1785/633, 2050/6635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1785/633, 2050/6635 i.e 5/4199955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1785/633, 2050/6635.
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 1785/633,2050/6635?
Given fractions are 1785/633,2050/6635
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 1785/633,2050/6635, numerators are 1785,2050
Denominators are 633,6635
The GCF of 1785,2050 is 5 .
LCM of 633,6635 is 4199955.
The greatest common factor of 1785/633,2050/6635 = [GCF of 1785,2050]/[LCM of 633,6635]= 5/4199955
Therefore, the GCF of 1785/633,2050/6635 is 5/4199955.
To find the highest common factor of 1785,2050, we have to find the factors of both numbers and list the highest common factor.
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The factors of 2050 are 1, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 2050
The HCF of 1785,2050 is 5.
Lets's calculate GCF of 1785,2050
| 5 | 1785, 2050 |
| 357, 410 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1785,2050 By Matching Biggest Common Factor Method
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Now, list down the factors of 2050
:1,2,5,10,25,41,50,82,205,410,1025,2050
Greatest Common Factor
We found the factors 1785,2050 . The biggest common factor number is the GCF number.
So the greatest common factor 1785,2050 is 5.
Lets's calculate LCM of 633,6635
Given numbers has no common factors except 1. So, there LCM is their product i.e 4199955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4199955
Therefore, the GCF of Fractions 1785/633,2050/6635 is 5/4199955
Least Common Multiple of 633,6635 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 633,6635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,6635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,6635) x common factors =1 x 1 = 1
LCM(633,6635) = ( 633 × 6635 ) / 1
LCM(633,6635) = 4199955 / 1
LCM(633,6635) = 4199955
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FAQs on GCF of Fractions of 1785/633, 2050/6635
1. What is the HCF of 1785,2050?
The HCF of 1785,2050 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 1785/633, 2050/6635?
Answer: GCF of Numerators as per given numbers 1785/633, 2050/6635 is
GCF of Numerators i.e. for 1785,2050 is 5
LCM of denominators i.e. for 633,6635 is 4199955.
Thus, GCF of Fractions is 5/4199955.Finally, GCF of Fractions for 1785/633, 2050/6635 is 5/4199955.