GCF of 1096/612, 2806/7089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1096/612, 2806/7089 i.e 2/85068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1096/612, 2806/7089.
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 1096/612,2806/7089?
Given fractions are 1096/612,2806/7089
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 1096/612,2806/7089, numerators are 1096,2806
Denominators are 612,7089
The GCF of 1096,2806 is 2 .
LCM of 612,7089 is 85068.
The greatest common factor of 1096/612,2806/7089 = [GCF of 1096,2806]/[LCM of 612,7089]= 2/85068
Therefore, the GCF of 1096/612,2806/7089 is 2/85068.
To find the highest common factor of 1096,2806, we have to find the factors of both numbers and list the highest common factor.
The factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096
The factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806
The HCF of 1096,2806 is 2.
Lets's calculate GCF of 1096,2806
| 2 | 1096, 2806 |
| 548, 1403 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1096,2806 By Matching Biggest Common Factor Method
Now, list down the factors of 1096
:1,2,4,8,137,274,548,1096
Now, list down the factors of 2806
:1,2,23,46,61,122,1403,2806
Greatest Common Factor
We found the factors 1096,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 1096,2806 is 2.
Lets's calculate LCM of 612,7089
| 3 | 612, 7089 |
| 17 | 204, 2363 |
| 12, 139 |
∴ So the LCM of the given numbers is 3 x 17 x 12 x 139 = 85068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85068
Therefore, the GCF of Fractions 1096/612,2806/7089 is 2/85068
Least Common Multiple of 612,7089 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 612,7089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,7089) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(612,7089) x common factors =51 x 1 = 51
LCM(612,7089) = ( 612 × 7089 ) / 51
LCM(612,7089) = 4338468 / 51
LCM(612,7089) = 85068
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FAQs on GCF of Fractions of 1096/612, 2806/7089
1. What is the HCF of 1096,2806?
The HCF of 1096,2806 is 2
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 1096/612, 2806/7089?
Answer: GCF of Numerators as per given numbers 1096/612, 2806/7089 is
GCF of Numerators i.e. for 1096,2806 is 2
LCM of denominators i.e. for 612,7089 is 85068.
Thus, GCF of Fractions is 2/85068.Finally, GCF of Fractions for 1096/612, 2806/7089 is 2/85068.