GCF of 5674/313, 6868/7806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5674/313, 6868/7806 i.e 2/2443278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5674/313, 6868/7806.
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 5674/313,6868/7806?
Given fractions are 5674/313,6868/7806
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 5674/313,6868/7806, numerators are 5674,6868
Denominators are 313,7806
The GCF of 5674,6868 is 2 .
LCM of 313,7806 is 2443278.
The greatest common factor of 5674/313,6868/7806 = [GCF of 5674,6868]/[LCM of 313,7806]= 2/2443278
Therefore, the GCF of 5674/313,6868/7806 is 2/2443278.
To find the highest common factor of 5674,6868, we have to find the factors of both numbers and list the highest common factor.
The factors of 5674 are 1, 2, 2837, 5674
The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868
The HCF of 5674,6868 is 2.
Lets's calculate GCF of 5674,6868
| 2 | 5674, 6868 |
| 2837, 3434 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5674,6868 By Matching Biggest Common Factor Method
Now, list down the factors of 5674
:1,2,2837,5674
Now, list down the factors of 6868
:1,2,4,17,34,68,101,202,404,1717,3434,6868
Greatest Common Factor
We found the factors 5674,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 5674,6868 is 2.
Lets's calculate LCM of 313,7806
Given numbers has no common factors except 1. So, there LCM is their product i.e 2443278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2443278
Therefore, the GCF of Fractions 5674/313,6868/7806 is 2/2443278
Least Common Multiple of 313,7806 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 313,7806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,7806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,7806) x common factors =1 x 1 = 1
LCM(313,7806) = ( 313 × 7806 ) / 1
LCM(313,7806) = 2443278 / 1
LCM(313,7806) = 2443278
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FAQs on GCF of Fractions of 5674/313, 6868/7806
1. What is the HCF of 5674,6868?
The HCF of 5674,6868 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 5674/313, 6868/7806?
Answer: GCF of Numerators as per given numbers 5674/313, 6868/7806 is
GCF of Numerators i.e. for 5674,6868 is 2
LCM of denominators i.e. for 313,7806 is 2443278.
Thus, GCF of Fractions is 2/2443278.Finally, GCF of Fractions for 5674/313, 6868/7806 is 2/2443278.