GCF of 3080/969, 1206/1926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3080/969, 1206/1926 i.e 2/622098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3080/969, 1206/1926.
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 3080/969,1206/1926?
Given fractions are 3080/969,1206/1926
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 3080/969,1206/1926, numerators are 3080,1206
Denominators are 969,1926
The GCF of 3080,1206 is 2 .
LCM of 969,1926 is 622098.
The greatest common factor of 3080/969,1206/1926 = [GCF of 3080,1206]/[LCM of 969,1926]= 2/622098
Therefore, the GCF of 3080/969,1206/1926 is 2/622098.
To find the highest common factor of 3080,1206, we have to find the factors of both numbers and list the highest common factor.
The factors of 3080 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080
The factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206
The HCF of 3080,1206 is 2.
Lets's calculate GCF of 3080,1206
| 2 | 3080, 1206 |
| 1540, 603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3080,1206 By Matching Biggest Common Factor Method
Now, list down the factors of 3080
:1,2,4,5,7,8,10,11,14,20,22,28,35,40,44,55,56,70,77,88,110,140,154,220,280,308,385,440,616,770,1540,3080
Now, list down the factors of 1206
:1,2,3,6,9,18,67,134,201,402,603,1206
Greatest Common Factor
We found the factors 3080,1206 . The biggest common factor number is the GCF number.
So the greatest common factor 3080,1206 is 2.
Lets's calculate LCM of 969,1926
| 3 | 969, 1926 |
| 323, 642 |
∴ So the LCM of the given numbers is 3 x 323 x 642 = 622098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/622098
Therefore, the GCF of Fractions 3080/969,1206/1926 is 2/622098
Least Common Multiple of 969,1926 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 969,1926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,1926) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,1926) x common factors =3 x 1 = 3
LCM(969,1926) = ( 969 × 1926 ) / 3
LCM(969,1926) = 1866294 / 3
LCM(969,1926) = 622098
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FAQs on GCF of Fractions of 3080/969, 1206/1926
1. What is the HCF of 3080,1206?
The HCF of 3080,1206 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 3080/969, 1206/1926?
Answer: GCF of Numerators as per given numbers 3080/969, 1206/1926 is
GCF of Numerators i.e. for 3080,1206 is 2
LCM of denominators i.e. for 969,1926 is 622098.
Thus, GCF of Fractions is 2/622098.Finally, GCF of Fractions for 3080/969, 1206/1926 is 2/622098.