GCF of 2512/490, 3786/1020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2512/490, 3786/1020 i.e 2/49980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2512/490, 3786/1020.
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 2512/490,3786/1020?
Given fractions are 2512/490,3786/1020
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 2512/490,3786/1020, numerators are 2512,3786
Denominators are 490,1020
The GCF of 2512,3786 is 2 .
LCM of 490,1020 is 49980.
The greatest common factor of 2512/490,3786/1020 = [GCF of 2512,3786]/[LCM of 490,1020]= 2/49980
Therefore, the GCF of 2512/490,3786/1020 is 2/49980.
To find the highest common factor of 2512,3786, we have to find the factors of both numbers and list the highest common factor.
The factors of 2512 are 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512
The factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786
The HCF of 2512,3786 is 2.
Lets's calculate GCF of 2512,3786
| 2 | 2512, 3786 |
| 1256, 1893 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2512,3786 By Matching Biggest Common Factor Method
Now, list down the factors of 2512
:1,2,4,8,16,157,314,628,1256,2512
Now, list down the factors of 3786
:1,2,3,6,631,1262,1893,3786
Greatest Common Factor
We found the factors 2512,3786 . The biggest common factor number is the GCF number.
So the greatest common factor 2512,3786 is 2.
Lets's calculate LCM of 490,1020
| 2 | 490, 1020 |
| 5 | 245, 510 |
| 49, 102 |
∴ So the LCM of the given numbers is 2 x 5 x 49 x 102 = 49980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49980
Therefore, the GCF of Fractions 2512/490,3786/1020 is 2/49980
Least Common Multiple of 490,1020 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 490,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,1020) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(490,1020) x common factors =10 x 1 = 10
LCM(490,1020) = ( 490 × 1020 ) / 10
LCM(490,1020) = 499800 / 10
LCM(490,1020) = 49980
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FAQs on GCF of Fractions of 2512/490, 3786/1020
1. What is the HCF of 2512,3786?
The HCF of 2512,3786 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 2512/490, 3786/1020?
Answer: GCF of Numerators as per given numbers 2512/490, 3786/1020 is
GCF of Numerators i.e. for 2512,3786 is 2
LCM of denominators i.e. for 490,1020 is 49980.
Thus, GCF of Fractions is 2/49980.Finally, GCF of Fractions for 2512/490, 3786/1020 is 2/49980.