GCF of 5984/894, 7109/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5984/894, 7109/367 i.e 1/328098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5984/894, 7109/367.
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 5984/894,7109/367?
Given fractions are 5984/894,7109/367
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 5984/894,7109/367, numerators are 5984,7109
Denominators are 894,367
The GCF of 5984,7109 is 1 .
LCM of 894,367 is 328098.
The greatest common factor of 5984/894,7109/367 = [GCF of 5984,7109]/[LCM of 894,367]= 1/328098
Therefore, the GCF of 5984/894,7109/367 is 1/328098.
To find the highest common factor of 5984,7109, we have to find the factors of both numbers and list the highest common factor.
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984
The factors of 7109 are 1, 7109
The HCF of 5984,7109 is 1.
Lets's calculate GCF of 5984,7109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5984,7109 By Matching Biggest Common Factor Method
Now, list down the factors of 5984
:1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Now, list down the factors of 7109
:1,7109
Greatest Common Factor
We found the factors 5984,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 5984,7109 is 1.
Lets's calculate LCM of 894,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 328098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328098
Therefore, the GCF of Fractions 5984/894,7109/367 is 1/328098
Least Common Multiple of 894,367 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 894,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(894,367) x common factors =1 x 1 = 1
LCM(894,367) = ( 894 × 367 ) / 1
LCM(894,367) = 328098 / 1
LCM(894,367) = 328098
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FAQs on GCF of Fractions of 5984/894, 7109/367
1. What is the HCF of 5984,7109?
The HCF of 5984,7109 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 5984/894, 7109/367?
Answer: GCF of Numerators as per given numbers 5984/894, 7109/367 is
GCF of Numerators i.e. for 5984,7109 is 1
LCM of denominators i.e. for 894,367 is 328098.
Thus, GCF of Fractions is 1/328098.Finally, GCF of Fractions for 5984/894, 7109/367 is 1/328098.