GCF of 2235/261, 8790/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2235/261, 8790/412 i.e 15/107532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2235/261, 8790/412.
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 2235/261,8790/412?
Given fractions are 2235/261,8790/412
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 2235/261,8790/412, numerators are 2235,8790
Denominators are 261,412
The GCF of 2235,8790 is 15 .
LCM of 261,412 is 107532.
The greatest common factor of 2235/261,8790/412 = [GCF of 2235,8790]/[LCM of 261,412]= 15/107532
Therefore, the GCF of 2235/261,8790/412 is 15/107532.
To find the highest common factor of 2235,8790, we have to find the factors of both numbers and list the highest common factor.
The factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235
The factors of 8790 are 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790
The HCF of 2235,8790 is 15.
Lets's calculate GCF of 2235,8790
| 3 | 2235, 8790 |
| 5 | 745, 2930 |
| 149, 586 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2235,8790 By Matching Biggest Common Factor Method
Now, list down the factors of 2235
:1,3,5,15,149,447,745,2235
Now, list down the factors of 8790
:1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790
Greatest Common Factor
We found the factors 2235,8790 . The biggest common factor number is the GCF number.
So the greatest common factor 2235,8790 is 15.
Lets's calculate LCM of 261,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 107532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/107532
Therefore, the GCF of Fractions 2235/261,8790/412 is 15/107532
Least Common Multiple of 261,412 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 261,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,412) x common factors =1 x 1 = 1
LCM(261,412) = ( 261 × 412 ) / 1
LCM(261,412) = 107532 / 1
LCM(261,412) = 107532
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FAQs on GCF of Fractions of 2235/261, 8790/412
1. What is the HCF of 2235,8790?
The HCF of 2235,8790 is 15
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 2235/261, 8790/412?
Answer: GCF of Numerators as per given numbers 2235/261, 8790/412 is
GCF of Numerators i.e. for 2235,8790 is 15
LCM of denominators i.e. for 261,412 is 107532.
Thus, GCF of Fractions is 15/107532.Finally, GCF of Fractions for 2235/261, 8790/412 is 15/107532.