GCF of 213/901, 9765/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 213/901, 9765/993 i.e 3/894693 easily. The following is the detailed procedure to determine the greatest common factor of fractions 213/901, 9765/993.
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 213/901,9765/993?
Given fractions are 213/901,9765/993
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 213/901,9765/993, numerators are 213,9765
Denominators are 901,993
The GCF of 213,9765 is 3 .
LCM of 901,993 is 894693.
The greatest common factor of 213/901,9765/993 = [GCF of 213,9765]/[LCM of 901,993]= 3/894693
Therefore, the GCF of 213/901,9765/993 is 3/894693.
To find the highest common factor of 213,9765, we have to find the factors of both numbers and list the highest common factor.
The factors of 213 are 1, 3, 71, 213
The factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765
The HCF of 213,9765 is 3.
Lets's calculate GCF of 213,9765
| 3 | 213, 9765 |
| 71, 3255 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 213,9765 By Matching Biggest Common Factor Method
Now, list down the factors of 213
:1,3,71,213
Now, list down the factors of 9765
:1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765
Greatest Common Factor
We found the factors 213,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 213,9765 is 3.
Lets's calculate LCM of 901,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 894693
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/894693
Therefore, the GCF of Fractions 213/901,9765/993 is 3/894693
Least Common Multiple of 901,993 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 901,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,993) x common factors =1 x 1 = 1
LCM(901,993) = ( 901 × 993 ) / 1
LCM(901,993) = 894693 / 1
LCM(901,993) = 894693
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FAQs on GCF of Fractions of 213/901, 9765/993
1. What is the HCF of 213,9765?
The HCF of 213,9765 is 3
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 213/901, 9765/993?
Answer: GCF of Numerators as per given numbers 213/901, 9765/993 is
GCF of Numerators i.e. for 213,9765 is 3
LCM of denominators i.e. for 901,993 is 894693.
Thus, GCF of Fractions is 3/894693.Finally, GCF of Fractions for 213/901, 9765/993 is 3/894693.