GCF of 556/206, 774/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 556/206, 774/322 i.e 2/33166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 556/206, 774/322.
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 556/206,774/322?
Given fractions are 556/206,774/322
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 556/206,774/322, numerators are 556,774
Denominators are 206,322
The GCF of 556,774 is 2 .
LCM of 206,322 is 33166.
The greatest common factor of 556/206,774/322 = [GCF of 556,774]/[LCM of 206,322]= 2/33166
Therefore, the GCF of 556/206,774/322 is 2/33166.
To find the highest common factor of 556,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 556 are 1, 2, 4, 139, 278, 556
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 556,774 is 2.
Lets's calculate GCF of 556,774
| 2 | 556, 774 |
| 278, 387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 556,774 By Matching Biggest Common Factor Method
Now, list down the factors of 556
:1,2,4,139,278,556
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 556,774 . The biggest common factor number is the GCF number.
So the greatest common factor 556,774 is 2.
Lets's calculate LCM of 206,322
| 2 | 206, 322 |
| 103, 161 |
∴ So the LCM of the given numbers is 2 x 103 x 161 = 33166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33166
Therefore, the GCF of Fractions 556/206,774/322 is 2/33166
Least Common Multiple of 206,322 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 206,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,322) x common factors =2 x 1 = 2
LCM(206,322) = ( 206 × 322 ) / 2
LCM(206,322) = 66332 / 2
LCM(206,322) = 33166
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FAQs on GCF of Fractions of 556/206, 774/322
1. What is the HCF of 556,774?
The HCF of 556,774 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 556/206, 774/322?
Answer: GCF of Numerators as per given numbers 556/206, 774/322 is
GCF of Numerators i.e. for 556,774 is 2
LCM of denominators i.e. for 206,322 is 33166.
Thus, GCF of Fractions is 2/33166.Finally, GCF of Fractions for 556/206, 774/322 is 2/33166.