GCF of 2096/709, 3460/3311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2096/709, 3460/3311 i.e 4/2347499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2096/709, 3460/3311.
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 2096/709,3460/3311?
Given fractions are 2096/709,3460/3311
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 2096/709,3460/3311, numerators are 2096,3460
Denominators are 709,3311
The GCF of 2096,3460 is 4 .
LCM of 709,3311 is 2347499.
The greatest common factor of 2096/709,3460/3311 = [GCF of 2096,3460]/[LCM of 709,3311]= 4/2347499
Therefore, the GCF of 2096/709,3460/3311 is 4/2347499.
To find the highest common factor of 2096,3460, we have to find the factors of both numbers and list the highest common factor.
The factors of 2096 are 1, 2, 4, 8, 16, 131, 262, 524, 1048, 2096
The factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460
The HCF of 2096,3460 is 4.
Lets's calculate GCF of 2096,3460
| 2 | 2096, 3460 |
| 2 | 1048, 1730 |
| 524, 865 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2096,3460 By Matching Biggest Common Factor Method
Now, list down the factors of 2096
:1,2,4,8,16,131,262,524,1048,2096
Now, list down the factors of 3460
:1,2,4,5,10,20,173,346,692,865,1730,3460
Greatest Common Factor
We found the factors 2096,3460 . The biggest common factor number is the GCF number.
So the greatest common factor 2096,3460 is 4.
Lets's calculate LCM of 709,3311
Given numbers has no common factors except 1. So, there LCM is their product i.e 2347499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2347499
Therefore, the GCF of Fractions 2096/709,3460/3311 is 4/2347499
Least Common Multiple of 709,3311 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 709,3311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,3311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,3311) x common factors =1 x 1 = 1
LCM(709,3311) = ( 709 × 3311 ) / 1
LCM(709,3311) = 2347499 / 1
LCM(709,3311) = 2347499
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FAQs on GCF of Fractions of 2096/709, 3460/3311
1. What is the HCF of 2096,3460?
The HCF of 2096,3460 is 4
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 2096/709, 3460/3311?
Answer: GCF of Numerators as per given numbers 2096/709, 3460/3311 is
GCF of Numerators i.e. for 2096,3460 is 4
LCM of denominators i.e. for 709,3311 is 2347499.
Thus, GCF of Fractions is 4/2347499.Finally, GCF of Fractions for 2096/709, 3460/3311 is 4/2347499.