GCF of 566/786, 1614/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 566/786, 1614/354 i.e 2/46374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/786, 1614/354.
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 566/786,1614/354?
Given fractions are 566/786,1614/354
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 566/786,1614/354, numerators are 566,1614
Denominators are 786,354
The GCF of 566,1614 is 2 .
LCM of 786,354 is 46374.
The greatest common factor of 566/786,1614/354 = [GCF of 566,1614]/[LCM of 786,354]= 2/46374
Therefore, the GCF of 566/786,1614/354 is 2/46374.
To find the highest common factor of 566,1614, we have to find the factors of both numbers and list the highest common factor.
The factors of 566 are 1, 2, 283, 566
The factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614
The HCF of 566,1614 is 2.
Lets's calculate GCF of 566,1614
| 2 | 566, 1614 |
| 283, 807 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 566,1614 By Matching Biggest Common Factor Method
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 1614
:1,2,3,6,269,538,807,1614
Greatest Common Factor
We found the factors 566,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 566,1614 is 2.
Lets's calculate LCM of 786,354
| 2 | 786, 354 |
| 3 | 393, 177 |
| 131, 59 |
∴ So the LCM of the given numbers is 2 x 3 x 131 x 59 = 46374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46374
Therefore, the GCF of Fractions 566/786,1614/354 is 2/46374
Least Common Multiple of 786,354 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 786,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,354) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(786,354) x common factors =6 x 1 = 6
LCM(786,354) = ( 786 × 354 ) / 6
LCM(786,354) = 278244 / 6
LCM(786,354) = 46374
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FAQs on GCF of Fractions of 566/786, 1614/354
1. What is the HCF of 566,1614?
The HCF of 566,1614 is 2
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 566/786, 1614/354?
Answer: GCF of Numerators as per given numbers 566/786, 1614/354 is
GCF of Numerators i.e. for 566,1614 is 2
LCM of denominators i.e. for 786,354 is 46374.
Thus, GCF of Fractions is 2/46374.Finally, GCF of Fractions for 566/786, 1614/354 is 2/46374.