GCF of 1093/348, 2958/1397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1093/348, 2958/1397 i.e 1/486156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1093/348, 2958/1397.
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 1093/348,2958/1397?
Given fractions are 1093/348,2958/1397
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 1093/348,2958/1397, numerators are 1093,2958
Denominators are 348,1397
The GCF of 1093,2958 is 1 .
LCM of 348,1397 is 486156.
The greatest common factor of 1093/348,2958/1397 = [GCF of 1093,2958]/[LCM of 348,1397]= 1/486156
Therefore, the GCF of 1093/348,2958/1397 is 1/486156.
To find the highest common factor of 1093,2958, we have to find the factors of both numbers and list the highest common factor.
The factors of 1093 are 1, 1093
The factors of 2958 are 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958
The HCF of 1093,2958 is 1.
Lets's calculate GCF of 1093,2958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1093,2958 By Matching Biggest Common Factor Method
Now, list down the factors of 1093
:1,1093
Now, list down the factors of 2958
:1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958
Greatest Common Factor
We found the factors 1093,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 1093,2958 is 1.
Lets's calculate LCM of 348,1397
Given numbers has no common factors except 1. So, there LCM is their product i.e 486156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486156
Therefore, the GCF of Fractions 1093/348,2958/1397 is 1/486156
Least Common Multiple of 348,1397 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 348,1397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,1397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(348,1397) x common factors =1 x 1 = 1
LCM(348,1397) = ( 348 × 1397 ) / 1
LCM(348,1397) = 486156 / 1
LCM(348,1397) = 486156
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FAQs on GCF of Fractions of 1093/348, 2958/1397
1. What is the HCF of 1093,2958?
The HCF of 1093,2958 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 1093/348, 2958/1397?
Answer: GCF of Numerators as per given numbers 1093/348, 2958/1397 is
GCF of Numerators i.e. for 1093,2958 is 1
LCM of denominators i.e. for 348,1397 is 486156.
Thus, GCF of Fractions is 1/486156.Finally, GCF of Fractions for 1093/348, 2958/1397 is 1/486156.