GCF of 226/59, 512/690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/59, 512/690 i.e 2/40710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/59, 512/690.
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 226/59,512/690?
Given fractions are 226/59,512/690
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 226/59,512/690, numerators are 226,512
Denominators are 59,690
The GCF of 226,512 is 2 .
LCM of 59,690 is 40710.
The greatest common factor of 226/59,512/690 = [GCF of 226,512]/[LCM of 59,690]= 2/40710
Therefore, the GCF of 226/59,512/690 is 2/40710.
To find the highest common factor of 226,512, 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 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 226,512 is 2.
Lets's calculate GCF of 226,512
| 2 | 226, 512 |
| 113, 256 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 226,512 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 226,512 . The biggest common factor number is the GCF number.
So the greatest common factor 226,512 is 2.
Lets's calculate LCM of 59,690
Given numbers has no common factors except 1. So, there LCM is their product i.e 40710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40710
Therefore, the GCF of Fractions 226/59,512/690 is 2/40710
Least Common Multiple of 59,690 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 59,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,690) x common factors =1 x 1 = 1
LCM(59,690) = ( 59 × 690 ) / 1
LCM(59,690) = 40710 / 1
LCM(59,690) = 40710
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FAQs on GCF of Fractions of 226/59, 512/690
1. What is the HCF of 226,512?
The HCF of 226,512 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 226/59, 512/690?
Answer: GCF of Numerators as per given numbers 226/59, 512/690 is
GCF of Numerators i.e. for 226,512 is 2
LCM of denominators i.e. for 59,690 is 40710.
Thus, GCF of Fractions is 2/40710.Finally, GCF of Fractions for 226/59, 512/690 is 2/40710.