GCF of 1097/943, 2141/958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1097/943, 2141/958 i.e 1/903394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1097/943, 2141/958.
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 1097/943,2141/958?
Given fractions are 1097/943,2141/958
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 1097/943,2141/958, numerators are 1097,2141
Denominators are 943,958
The GCF of 1097,2141 is 1 .
LCM of 943,958 is 903394.
The greatest common factor of 1097/943,2141/958 = [GCF of 1097,2141]/[LCM of 943,958]= 1/903394
Therefore, the GCF of 1097/943,2141/958 is 1/903394.
To find the highest common factor of 1097,2141, we have to find the factors of both numbers and list the highest common factor.
The factors of 1097 are 1, 1097
The factors of 2141 are 1, 2141
The HCF of 1097,2141 is 1.
Lets's calculate GCF of 1097,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1097,2141 By Matching Biggest Common Factor Method
Now, list down the factors of 1097
:1,1097
Now, list down the factors of 2141
:1,2141
Greatest Common Factor
We found the factors 1097,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 1097,2141 is 1.
Lets's calculate LCM of 943,958
Given numbers has no common factors except 1. So, there LCM is their product i.e 903394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/903394
Therefore, the GCF of Fractions 1097/943,2141/958 is 1/903394
Least Common Multiple of 943,958 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 943,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,958) x common factors =1 x 1 = 1
LCM(943,958) = ( 943 × 958 ) / 1
LCM(943,958) = 903394 / 1
LCM(943,958) = 903394
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FAQs on GCF of Fractions of 1097/943, 2141/958
1. What is the HCF of 1097,2141?
The HCF of 1097,2141 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 1097/943, 2141/958?
Answer: GCF of Numerators as per given numbers 1097/943, 2141/958 is
GCF of Numerators i.e. for 1097,2141 is 1
LCM of denominators i.e. for 943,958 is 903394.
Thus, GCF of Fractions is 1/903394.Finally, GCF of Fractions for 1097/943, 2141/958 is 1/903394.