GCF of 3090/970, 3878/1032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3090/970, 3878/1032 i.e 2/500520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3090/970, 3878/1032.
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 3090/970,3878/1032?
Given fractions are 3090/970,3878/1032
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 3090/970,3878/1032, numerators are 3090,3878
Denominators are 970,1032
The GCF of 3090,3878 is 2 .
LCM of 970,1032 is 500520.
The greatest common factor of 3090/970,3878/1032 = [GCF of 3090,3878]/[LCM of 970,1032]= 2/500520
Therefore, the GCF of 3090/970,3878/1032 is 2/500520.
To find the highest common factor of 3090,3878, we have to find the factors of both numbers and list the highest common factor.
The factors of 3090 are 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090
The factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878
The HCF of 3090,3878 is 2.
Lets's calculate GCF of 3090,3878
| 2 | 3090, 3878 |
| 1545, 1939 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3090,3878 By Matching Biggest Common Factor Method
Now, list down the factors of 3090
:1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090
Now, list down the factors of 3878
:1,2,7,14,277,554,1939,3878
Greatest Common Factor
We found the factors 3090,3878 . The biggest common factor number is the GCF number.
So the greatest common factor 3090,3878 is 2.
Lets's calculate LCM of 970,1032
| 2 | 970, 1032 |
| 485, 516 |
∴ So the LCM of the given numbers is 2 x 485 x 516 = 500520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/500520
Therefore, the GCF of Fractions 3090/970,3878/1032 is 2/500520
Least Common Multiple of 970,1032 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 970,1032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,1032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,1032) x common factors =2 x 1 = 2
LCM(970,1032) = ( 970 × 1032 ) / 2
LCM(970,1032) = 1001040 / 2
LCM(970,1032) = 500520
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FAQs on GCF of Fractions of 3090/970, 3878/1032
1. What is the HCF of 3090,3878?
The HCF of 3090,3878 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 3090/970, 3878/1032?
Answer: GCF of Numerators as per given numbers 3090/970, 3878/1032 is
GCF of Numerators i.e. for 3090,3878 is 2
LCM of denominators i.e. for 970,1032 is 500520.
Thus, GCF of Fractions is 2/500520.Finally, GCF of Fractions for 3090/970, 3878/1032 is 2/500520.