GCF of 2089/147, 7924/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2089/147, 7924/271 i.e 1/39837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2089/147, 7924/271.
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 2089/147,7924/271?
Given fractions are 2089/147,7924/271
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 2089/147,7924/271, numerators are 2089,7924
Denominators are 147,271
The GCF of 2089,7924 is 1 .
LCM of 147,271 is 39837.
The greatest common factor of 2089/147,7924/271 = [GCF of 2089,7924]/[LCM of 147,271]= 1/39837
Therefore, the GCF of 2089/147,7924/271 is 1/39837.
To find the highest common factor of 2089,7924, we have to find the factors of both numbers and list the highest common factor.
The factors of 2089 are 1, 2089
The factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924
The HCF of 2089,7924 is 1.
Lets's calculate GCF of 2089,7924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2089,7924 By Matching Biggest Common Factor Method
Now, list down the factors of 2089
:1,2089
Now, list down the factors of 7924
:1,2,4,7,14,28,283,566,1132,1981,3962,7924
Greatest Common Factor
We found the factors 2089,7924 . The biggest common factor number is the GCF number.
So the greatest common factor 2089,7924 is 1.
Lets's calculate LCM of 147,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 39837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39837
Therefore, the GCF of Fractions 2089/147,7924/271 is 1/39837
Least Common Multiple of 147,271 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 147,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,271) x common factors =1 x 1 = 1
LCM(147,271) = ( 147 × 271 ) / 1
LCM(147,271) = 39837 / 1
LCM(147,271) = 39837
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FAQs on GCF of Fractions of 2089/147, 7924/271
1. What is the HCF of 2089,7924?
The HCF of 2089,7924 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 2089/147, 7924/271?
Answer: GCF of Numerators as per given numbers 2089/147, 7924/271 is
GCF of Numerators i.e. for 2089,7924 is 1
LCM of denominators i.e. for 147,271 is 39837.
Thus, GCF of Fractions is 1/39837.Finally, GCF of Fractions for 2089/147, 7924/271 is 1/39837.