GCF of 3106/578, 1124/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3106/578, 1124/906 i.e 2/261834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3106/578, 1124/906.
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 3106/578,1124/906?
Given fractions are 3106/578,1124/906
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 3106/578,1124/906, numerators are 3106,1124
Denominators are 578,906
The GCF of 3106,1124 is 2 .
LCM of 578,906 is 261834.
The greatest common factor of 3106/578,1124/906 = [GCF of 3106,1124]/[LCM of 578,906]= 2/261834
Therefore, the GCF of 3106/578,1124/906 is 2/261834.
To find the highest common factor of 3106,1124, we have to find the factors of both numbers and list the highest common factor.
The factors of 3106 are 1, 2, 1553, 3106
The factors of 1124 are 1, 2, 4, 281, 562, 1124
The HCF of 3106,1124 is 2.
Lets's calculate GCF of 3106,1124
| 2 | 3106, 1124 |
| 1553, 562 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3106,1124 By Matching Biggest Common Factor Method
Now, list down the factors of 3106
:1,2,1553,3106
Now, list down the factors of 1124
:1,2,4,281,562,1124
Greatest Common Factor
We found the factors 3106,1124 . The biggest common factor number is the GCF number.
So the greatest common factor 3106,1124 is 2.
Lets's calculate LCM of 578,906
| 2 | 578, 906 |
| 289, 453 |
∴ So the LCM of the given numbers is 2 x 289 x 453 = 261834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261834
Therefore, the GCF of Fractions 3106/578,1124/906 is 2/261834
Least Common Multiple of 578,906 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 578,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,906) x common factors =2 x 1 = 2
LCM(578,906) = ( 578 × 906 ) / 2
LCM(578,906) = 523668 / 2
LCM(578,906) = 261834
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FAQs on GCF of Fractions of 3106/578, 1124/906
1. What is the HCF of 3106,1124?
The HCF of 3106,1124 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 3106/578, 1124/906?
Answer: GCF of Numerators as per given numbers 3106/578, 1124/906 is
GCF of Numerators i.e. for 3106,1124 is 2
LCM of denominators i.e. for 578,906 is 261834.
Thus, GCF of Fractions is 2/261834.Finally, GCF of Fractions for 3106/578, 1124/906 is 2/261834.