GCF of 1408/881, 2410/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1408/881, 2410/385 i.e 2/339185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1408/881, 2410/385.
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 1408/881,2410/385?
Given fractions are 1408/881,2410/385
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 1408/881,2410/385, numerators are 1408,2410
Denominators are 881,385
The GCF of 1408,2410 is 2 .
LCM of 881,385 is 339185.
The greatest common factor of 1408/881,2410/385 = [GCF of 1408,2410]/[LCM of 881,385]= 2/339185
Therefore, the GCF of 1408/881,2410/385 is 2/339185.
To find the highest common factor of 1408,2410, we have to find the factors of both numbers and list the highest common factor.
The factors of 1408 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408
The factors of 2410 are 1, 2, 5, 10, 241, 482, 1205, 2410
The HCF of 1408,2410 is 2.
Lets's calculate GCF of 1408,2410
| 2 | 1408, 2410 |
| 704, 1205 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1408,2410 By Matching Biggest Common Factor Method
Now, list down the factors of 1408
:1,2,4,8,11,16,22,32,44,64,88,128,176,352,704,1408
Now, list down the factors of 2410
:1,2,5,10,241,482,1205,2410
Greatest Common Factor
We found the factors 1408,2410 . The biggest common factor number is the GCF number.
So the greatest common factor 1408,2410 is 2.
Lets's calculate LCM of 881,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 339185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339185
Therefore, the GCF of Fractions 1408/881,2410/385 is 2/339185
Least Common Multiple of 881,385 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 881,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,385) x common factors =1 x 1 = 1
LCM(881,385) = ( 881 × 385 ) / 1
LCM(881,385) = 339185 / 1
LCM(881,385) = 339185
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FAQs on GCF of Fractions of 1408/881, 2410/385
1. What is the HCF of 1408,2410?
The HCF of 1408,2410 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 1408/881, 2410/385?
Answer: GCF of Numerators as per given numbers 1408/881, 2410/385 is
GCF of Numerators i.e. for 1408,2410 is 2
LCM of denominators i.e. for 881,385 is 339185.
Thus, GCF of Fractions is 2/339185.Finally, GCF of Fractions for 1408/881, 2410/385 is 2/339185.