GCF of 7109/365, 7749/5037
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7109/365, 7749/5037 i.e 1/25185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7109/365, 7749/5037.
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 7109/365,7749/5037?
Given fractions are 7109/365,7749/5037
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 7109/365,7749/5037, numerators are 7109,7749
Denominators are 365,5037
The GCF of 7109,7749 is 1 .
LCM of 365,5037 is 25185.
The greatest common factor of 7109/365,7749/5037 = [GCF of 7109,7749]/[LCM of 365,5037]= 1/25185
Therefore, the GCF of 7109/365,7749/5037 is 1/25185.
To find the highest common factor of 7109,7749, we have to find the factors of both numbers and list the highest common factor.
The factors of 7109 are 1, 7109
The factors of 7749 are 1, 3, 7, 9, 21, 27, 41, 63, 123, 189, 287, 369, 861, 1107, 2583, 7749
The HCF of 7109,7749 is 1.
Lets's calculate GCF of 7109,7749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7109,7749 By Matching Biggest Common Factor Method
Now, list down the factors of 7109
:1,7109
Now, list down the factors of 7749
:1,3,7,9,21,27,41,63,123,189,287,369,861,1107,2583,7749
Greatest Common Factor
We found the factors 7109,7749 . The biggest common factor number is the GCF number.
So the greatest common factor 7109,7749 is 1.
Lets's calculate LCM of 365,5037
| 73 | 365, 5037 |
| 5, 69 |
∴ So the LCM of the given numbers is 73 x 5 x 69 = 25185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25185
Therefore, the GCF of Fractions 7109/365,7749/5037 is 1/25185
Least Common Multiple of 365,5037 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 365,5037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,5037) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(365,5037) x common factors =73 x 1 = 73
LCM(365,5037) = ( 365 × 5037 ) / 73
LCM(365,5037) = 1838505 / 73
LCM(365,5037) = 25185
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FAQs on GCF of Fractions of 7109/365, 7749/5037
1. What is the HCF of 7109,7749?
The HCF of 7109,7749 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 7109/365, 7749/5037?
Answer: GCF of Numerators as per given numbers 7109/365, 7749/5037 is
GCF of Numerators i.e. for 7109,7749 is 1
LCM of denominators i.e. for 365,5037 is 25185.
Thus, GCF of Fractions is 1/25185.Finally, GCF of Fractions for 7109/365, 7749/5037 is 1/25185.