GCF of 210/239, 261/776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 210/239, 261/776 i.e 3/185464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/239, 261/776.
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 210/239,261/776?
Given fractions are 210/239,261/776
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 210/239,261/776, numerators are 210,261
Denominators are 239,776
The GCF of 210,261 is 3 .
LCM of 239,776 is 185464.
The greatest common factor of 210/239,261/776 = [GCF of 210,261]/[LCM of 239,776]= 3/185464
Therefore, the GCF of 210/239,261/776 is 3/185464.
To find the highest common factor of 210,261, we have to find the factors of both numbers and list the highest common factor.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 261 are 1, 3, 9, 29, 87, 261
The HCF of 210,261 is 3.
Lets's calculate GCF of 210,261
| 3 | 210, 261 |
| 70, 87 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 210,261 By Matching Biggest Common Factor Method
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 261
:1,3,9,29,87,261
Greatest Common Factor
We found the factors 210,261 . The biggest common factor number is the GCF number.
So the greatest common factor 210,261 is 3.
Lets's calculate LCM of 239,776
Given numbers has no common factors except 1. So, there LCM is their product i.e 185464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/185464
Therefore, the GCF of Fractions 210/239,261/776 is 3/185464
Least Common Multiple of 239,776 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 239,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,776) x common factors =1 x 1 = 1
LCM(239,776) = ( 239 × 776 ) / 1
LCM(239,776) = 185464 / 1
LCM(239,776) = 185464
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FAQs on GCF of Fractions of 210/239, 261/776
1. What is the HCF of 210,261?
The HCF of 210,261 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 210/239, 261/776?
Answer: GCF of Numerators as per given numbers 210/239, 261/776 is
GCF of Numerators i.e. for 210,261 is 3
LCM of denominators i.e. for 239,776 is 185464.
Thus, GCF of Fractions is 3/185464.Finally, GCF of Fractions for 210/239, 261/776 is 3/185464.