GCF of 7119/137, 2206/5323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7119/137, 2206/5323 i.e 1/729251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7119/137, 2206/5323.
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 7119/137,2206/5323?
Given fractions are 7119/137,2206/5323
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 7119/137,2206/5323, numerators are 7119,2206
Denominators are 137,5323
The GCF of 7119,2206 is 1 .
LCM of 137,5323 is 729251.
The greatest common factor of 7119/137,2206/5323 = [GCF of 7119,2206]/[LCM of 137,5323]= 1/729251
Therefore, the GCF of 7119/137,2206/5323 is 1/729251.
To find the highest common factor of 7119,2206, we have to find the factors of both numbers and list the highest common factor.
The factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
The factors of 2206 are 1, 2, 1103, 2206
The HCF of 7119,2206 is 1.
Lets's calculate GCF of 7119,2206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7119,2206 By Matching Biggest Common Factor Method
Now, list down the factors of 7119
:1,3,7,9,21,63,113,339,791,1017,2373,7119
Now, list down the factors of 2206
:1,2,1103,2206
Greatest Common Factor
We found the factors 7119,2206 . The biggest common factor number is the GCF number.
So the greatest common factor 7119,2206 is 1.
Lets's calculate LCM of 137,5323
Given numbers has no common factors except 1. So, there LCM is their product i.e 729251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729251
Therefore, the GCF of Fractions 7119/137,2206/5323 is 1/729251
Least Common Multiple of 137,5323 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 137,5323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,5323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,5323) x common factors =1 x 1 = 1
LCM(137,5323) = ( 137 × 5323 ) / 1
LCM(137,5323) = 729251 / 1
LCM(137,5323) = 729251
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FAQs on GCF of Fractions of 7119/137, 2206/5323
1. What is the HCF of 7119,2206?
The HCF of 7119,2206 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 7119/137, 2206/5323?
Answer: GCF of Numerators as per given numbers 7119/137, 2206/5323 is
GCF of Numerators i.e. for 7119,2206 is 1
LCM of denominators i.e. for 137,5323 is 729251.
Thus, GCF of Fractions is 1/729251.Finally, GCF of Fractions for 7119/137, 2206/5323 is 1/729251.