GCF of 8094/298, 5366/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8094/298, 5366/677 i.e 2/201746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8094/298, 5366/677.
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 8094/298,5366/677?
Given fractions are 8094/298,5366/677
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 8094/298,5366/677, numerators are 8094,5366
Denominators are 298,677
The GCF of 8094,5366 is 2 .
LCM of 298,677 is 201746.
The greatest common factor of 8094/298,5366/677 = [GCF of 8094,5366]/[LCM of 298,677]= 2/201746
Therefore, the GCF of 8094/298,5366/677 is 2/201746.
To find the highest common factor of 8094,5366, we have to find the factors of both numbers and list the highest common factor.
The factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094
The factors of 5366 are 1, 2, 2683, 5366
The HCF of 8094,5366 is 2.
Lets's calculate GCF of 8094,5366
| 2 | 8094, 5366 |
| 4047, 2683 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8094,5366 By Matching Biggest Common Factor Method
Now, list down the factors of 8094
:1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094
Now, list down the factors of 5366
:1,2,2683,5366
Greatest Common Factor
We found the factors 8094,5366 . The biggest common factor number is the GCF number.
So the greatest common factor 8094,5366 is 2.
Lets's calculate LCM of 298,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 201746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/201746
Therefore, the GCF of Fractions 8094/298,5366/677 is 2/201746
Least Common Multiple of 298,677 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 298,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,677) x common factors =1 x 1 = 1
LCM(298,677) = ( 298 × 677 ) / 1
LCM(298,677) = 201746 / 1
LCM(298,677) = 201746
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FAQs on GCF of Fractions of 8094/298, 5366/677
1. What is the HCF of 8094,5366?
The HCF of 8094,5366 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 8094/298, 5366/677?
Answer: GCF of Numerators as per given numbers 8094/298, 5366/677 is
GCF of Numerators i.e. for 8094,5366 is 2
LCM of denominators i.e. for 298,677 is 201746.
Thus, GCF of Fractions is 2/201746.Finally, GCF of Fractions for 8094/298, 5366/677 is 2/201746.