GCF of 2446/678, 2219/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2446/678, 2219/981 i.e 1/221706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2446/678, 2219/981.
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 2446/678,2219/981?
Given fractions are 2446/678,2219/981
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 2446/678,2219/981, numerators are 2446,2219
Denominators are 678,981
The GCF of 2446,2219 is 1 .
LCM of 678,981 is 221706.
The greatest common factor of 2446/678,2219/981 = [GCF of 2446,2219]/[LCM of 678,981]= 1/221706
Therefore, the GCF of 2446/678,2219/981 is 1/221706.
To find the highest common factor of 2446,2219, we have to find the factors of both numbers and list the highest common factor.
The factors of 2446 are 1, 2, 1223, 2446
The factors of 2219 are 1, 7, 317, 2219
The HCF of 2446,2219 is 1.
Lets's calculate GCF of 2446,2219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2446,2219 By Matching Biggest Common Factor Method
Now, list down the factors of 2446
:1,2,1223,2446
Now, list down the factors of 2219
:1,7,317,2219
Greatest Common Factor
We found the factors 2446,2219 . The biggest common factor number is the GCF number.
So the greatest common factor 2446,2219 is 1.
Lets's calculate LCM of 678,981
| 3 | 678, 981 |
| 226, 327 |
∴ So the LCM of the given numbers is 3 x 226 x 327 = 221706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221706
Therefore, the GCF of Fractions 2446/678,2219/981 is 1/221706
Least Common Multiple of 678,981 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 678,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(678,981) x common factors =3 x 1 = 3
LCM(678,981) = ( 678 × 981 ) / 3
LCM(678,981) = 665118 / 3
LCM(678,981) = 221706
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FAQs on GCF of Fractions of 2446/678, 2219/981
1. What is the HCF of 2446,2219?
The HCF of 2446,2219 is 1
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 2446/678, 2219/981?
Answer: GCF of Numerators as per given numbers 2446/678, 2219/981 is
GCF of Numerators i.e. for 2446,2219 is 1
LCM of denominators i.e. for 678,981 is 221706.
Thus, GCF of Fractions is 1/221706.Finally, GCF of Fractions for 2446/678, 2219/981 is 1/221706.