GCF of 1284/694, 1452/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1284/694, 1452/687 i.e 12/476778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1284/694, 1452/687.
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 1284/694,1452/687?
Given fractions are 1284/694,1452/687
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 1284/694,1452/687, numerators are 1284,1452
Denominators are 694,687
The GCF of 1284,1452 is 12 .
LCM of 694,687 is 476778.
The greatest common factor of 1284/694,1452/687 = [GCF of 1284,1452]/[LCM of 694,687]= 12/476778
Therefore, the GCF of 1284/694,1452/687 is 12/476778.
To find the highest common factor of 1284,1452, we have to find the factors of both numbers and list the highest common factor.
The factors of 1284 are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452
The HCF of 1284,1452 is 12.
Lets's calculate GCF of 1284,1452
| 2 | 1284, 1452 |
| 2 | 642, 726 |
| 3 | 321, 363 |
| 107, 121 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1284,1452 By Matching Biggest Common Factor Method
Now, list down the factors of 1284
:1,2,3,4,6,12,107,214,321,428,642,1284
Now, list down the factors of 1452
:1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452
Greatest Common Factor
We found the factors 1284,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 1284,1452 is 12.
Lets's calculate LCM of 694,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 476778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/476778
Therefore, the GCF of Fractions 1284/694,1452/687 is 12/476778
Least Common Multiple of 694,687 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 694,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(694,687) x common factors =1 x 1 = 1
LCM(694,687) = ( 694 × 687 ) / 1
LCM(694,687) = 476778 / 1
LCM(694,687) = 476778
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FAQs on GCF of Fractions of 1284/694, 1452/687
1. What is the HCF of 1284,1452?
The HCF of 1284,1452 is 12
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 1284/694, 1452/687?
Answer: GCF of Numerators as per given numbers 1284/694, 1452/687 is
GCF of Numerators i.e. for 1284,1452 is 12
LCM of denominators i.e. for 694,687 is 476778.
Thus, GCF of Fractions is 12/476778.Finally, GCF of Fractions for 1284/694, 1452/687 is 12/476778.