GCF of 311/226, 3790/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 311/226, 3790/706 i.e 1/79778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/226, 3790/706.
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 311/226,3790/706?
Given fractions are 311/226,3790/706
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 311/226,3790/706, numerators are 311,3790
Denominators are 226,706
The GCF of 311,3790 is 1 .
LCM of 226,706 is 79778.
The greatest common factor of 311/226,3790/706 = [GCF of 311,3790]/[LCM of 226,706]= 1/79778
Therefore, the GCF of 311/226,3790/706 is 1/79778.
To find the highest common factor of 311,3790, we have to find the factors of both numbers and list the highest common factor.
The factors of 311 are 1, 311
The factors of 3790 are 1, 2, 5, 10, 379, 758, 1895, 3790
The HCF of 311,3790 is 1.
Lets's calculate GCF of 311,3790
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 311,3790 By Matching Biggest Common Factor Method
Now, list down the factors of 311
:1,311
Now, list down the factors of 3790
:1,2,5,10,379,758,1895,3790
Greatest Common Factor
We found the factors 311,3790 . The biggest common factor number is the GCF number.
So the greatest common factor 311,3790 is 1.
Lets's calculate LCM of 226,706
| 2 | 226, 706 |
| 113, 353 |
∴ So the LCM of the given numbers is 2 x 113 x 353 = 79778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79778
Therefore, the GCF of Fractions 311/226,3790/706 is 1/79778
Least Common Multiple of 226,706 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 226,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,706) x common factors =2 x 1 = 2
LCM(226,706) = ( 226 × 706 ) / 2
LCM(226,706) = 159556 / 2
LCM(226,706) = 79778
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FAQs on GCF of Fractions of 311/226, 3790/706
1. What is the HCF of 311,3790?
The HCF of 311,3790 is 1
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 311/226, 3790/706?
Answer: GCF of Numerators as per given numbers 311/226, 3790/706 is
GCF of Numerators i.e. for 311,3790 is 1
LCM of denominators i.e. for 226,706 is 79778.
Thus, GCF of Fractions is 1/79778.Finally, GCF of Fractions for 311/226, 3790/706 is 1/79778.