GCF of 452/966, 678/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 452/966, 678/717 i.e 226/230874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/966, 678/717.
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 452/966,678/717?
Given fractions are 452/966,678/717
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 452/966,678/717, numerators are 452,678
Denominators are 966,717
The GCF of 452,678 is 226 .
LCM of 966,717 is 230874.
The greatest common factor of 452/966,678/717 = [GCF of 452,678]/[LCM of 966,717]= 226/230874
Therefore, the GCF of 452/966,678/717 is 226/230874.
To find the highest common factor of 452,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 452 are 1, 2, 4, 113, 226, 452
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 452,678 is 226.
Lets's calculate GCF of 452,678
| 2 | 452, 678 |
| 113 | 226, 339 |
| 2, 3 |
∴ So the GCF of the given numbers is 2 x 113 = 226
Greatest Common Factor of 452,678 By Matching Biggest Common Factor Method
Now, list down the factors of 452
:1,2,4,113,226,452
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 452,678 . The biggest common factor number is the GCF number.
So the greatest common factor 452,678 is 226.
Lets's calculate LCM of 966,717
| 3 | 966, 717 |
| 322, 239 |
∴ So the LCM of the given numbers is 3 x 322 x 239 = 230874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 226/230874
Therefore, the GCF of Fractions 452/966,678/717 is 226/230874
Least Common Multiple of 966,717 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 966,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,717) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(966,717) x common factors =3 x 1 = 3
LCM(966,717) = ( 966 × 717 ) / 3
LCM(966,717) = 692622 / 3
LCM(966,717) = 230874
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FAQs on GCF of Fractions of 452/966, 678/717
1. What is the HCF of 452,678?
The HCF of 452,678 is 226
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 452/966, 678/717?
Answer: GCF of Numerators as per given numbers 452/966, 678/717 is
GCF of Numerators i.e. for 452,678 is 226
LCM of denominators i.e. for 966,717 is 230874.
Thus, GCF of Fractions is 226/230874.Finally, GCF of Fractions for 452/966, 678/717 is 226/230874.