GCF of 1606/128, 1410/2126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1606/128, 1410/2126 i.e 2/136064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1606/128, 1410/2126.
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 1606/128,1410/2126?
Given fractions are 1606/128,1410/2126
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 1606/128,1410/2126, numerators are 1606,1410
Denominators are 128,2126
The GCF of 1606,1410 is 2 .
LCM of 128,2126 is 136064.
The greatest common factor of 1606/128,1410/2126 = [GCF of 1606,1410]/[LCM of 128,2126]= 2/136064
Therefore, the GCF of 1606/128,1410/2126 is 2/136064.
To find the highest common factor of 1606,1410, we have to find the factors of both numbers and list the highest common factor.
The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606
The factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410
The HCF of 1606,1410 is 2.
Lets's calculate GCF of 1606,1410
| 2 | 1606, 1410 |
| 803, 705 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1606,1410 By Matching Biggest Common Factor Method
Now, list down the factors of 1606
:1,2,11,22,73,146,803,1606
Now, list down the factors of 1410
:1,2,3,5,6,10,15,30,47,94,141,235,282,470,705,1410
Greatest Common Factor
We found the factors 1606,1410 . The biggest common factor number is the GCF number.
So the greatest common factor 1606,1410 is 2.
Lets's calculate LCM of 128,2126
| 2 | 128, 2126 |
| 64, 1063 |
∴ So the LCM of the given numbers is 2 x 64 x 1063 = 136064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136064
Therefore, the GCF of Fractions 1606/128,1410/2126 is 2/136064
Least Common Multiple of 128,2126 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 128,2126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,2126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,2126) x common factors =2 x 1 = 2
LCM(128,2126) = ( 128 × 2126 ) / 2
LCM(128,2126) = 272128 / 2
LCM(128,2126) = 136064
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FAQs on GCF of Fractions of 1606/128, 1410/2126
1. What is the HCF of 1606,1410?
The HCF of 1606,1410 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 1606/128, 1410/2126?
Answer: GCF of Numerators as per given numbers 1606/128, 1410/2126 is
GCF of Numerators i.e. for 1606,1410 is 2
LCM of denominators i.e. for 128,2126 is 136064.
Thus, GCF of Fractions is 2/136064.Finally, GCF of Fractions for 1606/128, 1410/2126 is 2/136064.