GCF of 453/12, 774/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/12, 774/706 i.e 3/4236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/12, 774/706.
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 453/12,774/706?
Given fractions are 453/12,774/706
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 453/12,774/706, numerators are 453,774
Denominators are 12,706
The GCF of 453,774 is 3 .
LCM of 12,706 is 4236.
The greatest common factor of 453/12,774/706 = [GCF of 453,774]/[LCM of 12,706]= 3/4236
Therefore, the GCF of 453/12,774/706 is 3/4236.
To find the highest common factor of 453,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 453,774 is 3.
Lets's calculate GCF of 453,774
| 3 | 453, 774 |
| 151, 258 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 453,774 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 453,774 . The biggest common factor number is the GCF number.
So the greatest common factor 453,774 is 3.
Lets's calculate LCM of 12,706
| 2 | 12, 706 |
| 6, 353 |
∴ So the LCM of the given numbers is 2 x 6 x 353 = 4236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4236
Therefore, the GCF of Fractions 453/12,774/706 is 3/4236
Least Common Multiple of 12,706 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 12,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(12,706) x common factors =2 x 1 = 2
LCM(12,706) = ( 12 × 706 ) / 2
LCM(12,706) = 8472 / 2
LCM(12,706) = 4236
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FAQs on GCF of Fractions of 453/12, 774/706
1. What is the HCF of 453,774?
The HCF of 453,774 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 453/12, 774/706?
Answer: GCF of Numerators as per given numbers 453/12, 774/706 is
GCF of Numerators i.e. for 453,774 is 3
LCM of denominators i.e. for 12,706 is 4236.
Thus, GCF of Fractions is 3/4236.Finally, GCF of Fractions for 453/12, 774/706 is 3/4236.