GCF of 226/774, 506/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/774, 506/448 i.e 2/173376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/774, 506/448.
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 226/774,506/448?
Given fractions are 226/774,506/448
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 226/774,506/448, numerators are 226,506
Denominators are 774,448
The GCF of 226,506 is 2 .
LCM of 774,448 is 173376.
The greatest common factor of 226/774,506/448 = [GCF of 226,506]/[LCM of 774,448]= 2/173376
Therefore, the GCF of 226/774,506/448 is 2/173376.
To find the highest common factor of 226,506, we have to find the factors of both numbers and list the highest common factor.
The factors of 226 are 1, 2, 113, 226
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The HCF of 226,506 is 2.
Lets's calculate GCF of 226,506
| 2 | 226, 506 |
| 113, 253 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 226,506 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 226,506 . The biggest common factor number is the GCF number.
So the greatest common factor 226,506 is 2.
Lets's calculate LCM of 774,448
| 2 | 774, 448 |
| 387, 224 |
∴ So the LCM of the given numbers is 2 x 387 x 224 = 173376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173376
Therefore, the GCF of Fractions 226/774,506/448 is 2/173376
Least Common Multiple of 774,448 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 774,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,448) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,448) x common factors =2 x 1 = 2
LCM(774,448) = ( 774 × 448 ) / 2
LCM(774,448) = 346752 / 2
LCM(774,448) = 173376
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FAQs on GCF of Fractions of 226/774, 506/448
1. What is the HCF of 226,506?
The HCF of 226,506 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 226/774, 506/448?
Answer: GCF of Numerators as per given numbers 226/774, 506/448 is
GCF of Numerators i.e. for 226,506 is 2
LCM of denominators i.e. for 774,448 is 173376.
Thus, GCF of Fractions is 2/173376.Finally, GCF of Fractions for 226/774, 506/448 is 2/173376.