GCF of 2106/130, 7408/5696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2106/130, 7408/5696 i.e 2/370240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2106/130, 7408/5696.
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 2106/130,7408/5696?
Given fractions are 2106/130,7408/5696
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 2106/130,7408/5696, numerators are 2106,7408
Denominators are 130,5696
The GCF of 2106,7408 is 2 .
LCM of 130,5696 is 370240.
The greatest common factor of 2106/130,7408/5696 = [GCF of 2106,7408]/[LCM of 130,5696]= 2/370240
Therefore, the GCF of 2106/130,7408/5696 is 2/370240.
To find the highest common factor of 2106,7408, we have to find the factors of both numbers and list the highest common factor.
The factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106
The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408
The HCF of 2106,7408 is 2.
Lets's calculate GCF of 2106,7408
| 2 | 2106, 7408 |
| 1053, 3704 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2106,7408 By Matching Biggest Common Factor Method
Now, list down the factors of 2106
:1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,351,702,1053,2106
Now, list down the factors of 7408
:1,2,4,8,16,463,926,1852,3704,7408
Greatest Common Factor
We found the factors 2106,7408 . The biggest common factor number is the GCF number.
So the greatest common factor 2106,7408 is 2.
Lets's calculate LCM of 130,5696
| 2 | 130, 5696 |
| 65, 2848 |
∴ So the LCM of the given numbers is 2 x 65 x 2848 = 370240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/370240
Therefore, the GCF of Fractions 2106/130,7408/5696 is 2/370240
Least Common Multiple of 130,5696 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 130,5696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,5696) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,5696) x common factors =2 x 1 = 2
LCM(130,5696) = ( 130 × 5696 ) / 2
LCM(130,5696) = 740480 / 2
LCM(130,5696) = 370240
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FAQs on GCF of Fractions of 2106/130, 7408/5696
1. What is the HCF of 2106,7408?
The HCF of 2106,7408 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 2106/130, 7408/5696?
Answer: GCF of Numerators as per given numbers 2106/130, 7408/5696 is
GCF of Numerators i.e. for 2106,7408 is 2
LCM of denominators i.e. for 130,5696 is 370240.
Thus, GCF of Fractions is 2/370240.Finally, GCF of Fractions for 2106/130, 7408/5696 is 2/370240.