GCF of 2812/834, 3788/226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2812/834, 3788/226 i.e 4/94242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2812/834, 3788/226.
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 2812/834,3788/226?
Given fractions are 2812/834,3788/226
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 2812/834,3788/226, numerators are 2812,3788
Denominators are 834,226
The GCF of 2812,3788 is 4 .
LCM of 834,226 is 94242.
The greatest common factor of 2812/834,3788/226 = [GCF of 2812,3788]/[LCM of 834,226]= 4/94242
Therefore, the GCF of 2812/834,3788/226 is 4/94242.
To find the highest common factor of 2812,3788, we have to find the factors of both numbers and list the highest common factor.
The factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812
The factors of 3788 are 1, 2, 4, 947, 1894, 3788
The HCF of 2812,3788 is 4.
Lets's calculate GCF of 2812,3788
| 2 | 2812, 3788 |
| 2 | 1406, 1894 |
| 703, 947 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2812,3788 By Matching Biggest Common Factor Method
Now, list down the factors of 2812
:1,2,4,19,37,38,74,76,148,703,1406,2812
Now, list down the factors of 3788
:1,2,4,947,1894,3788
Greatest Common Factor
We found the factors 2812,3788 . The biggest common factor number is the GCF number.
So the greatest common factor 2812,3788 is 4.
Lets's calculate LCM of 834,226
| 2 | 834, 226 |
| 417, 113 |
∴ So the LCM of the given numbers is 2 x 417 x 113 = 94242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/94242
Therefore, the GCF of Fractions 2812/834,3788/226 is 4/94242
Least Common Multiple of 834,226 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 834,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,226) x common factors =2 x 1 = 2
LCM(834,226) = ( 834 × 226 ) / 2
LCM(834,226) = 188484 / 2
LCM(834,226) = 94242
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FAQs on GCF of Fractions of 2812/834, 3788/226
1. What is the HCF of 2812,3788?
The HCF of 2812,3788 is 4
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 2812/834, 3788/226?
Answer: GCF of Numerators as per given numbers 2812/834, 3788/226 is
GCF of Numerators i.e. for 2812,3788 is 4
LCM of denominators i.e. for 834,226 is 94242.
Thus, GCF of Fractions is 4/94242.Finally, GCF of Fractions for 2812/834, 3788/226 is 4/94242.