GCF of 1552/410, 9495/1808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1552/410, 9495/1808 i.e 1/370640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1552/410, 9495/1808.
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 1552/410,9495/1808?
Given fractions are 1552/410,9495/1808
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 1552/410,9495/1808, numerators are 1552,9495
Denominators are 410,1808
The GCF of 1552,9495 is 1 .
LCM of 410,1808 is 370640.
The greatest common factor of 1552/410,9495/1808 = [GCF of 1552,9495]/[LCM of 410,1808]= 1/370640
Therefore, the GCF of 1552/410,9495/1808 is 1/370640.
To find the highest common factor of 1552,9495, we have to find the factors of both numbers and list the highest common factor.
The factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, 1552
The factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495
The HCF of 1552,9495 is 1.
Lets's calculate GCF of 1552,9495
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1552,9495 By Matching Biggest Common Factor Method
Now, list down the factors of 1552
:1,2,4,8,16,97,194,388,776,1552
Now, list down the factors of 9495
:1,3,5,9,15,45,211,633,1055,1899,3165,9495
Greatest Common Factor
We found the factors 1552,9495 . The biggest common factor number is the GCF number.
So the greatest common factor 1552,9495 is 1.
Lets's calculate LCM of 410,1808
| 2 | 410, 1808 |
| 205, 904 |
∴ So the LCM of the given numbers is 2 x 205 x 904 = 370640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370640
Therefore, the GCF of Fractions 1552/410,9495/1808 is 1/370640
Least Common Multiple of 410,1808 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 410,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,1808) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,1808) x common factors =2 x 1 = 2
LCM(410,1808) = ( 410 × 1808 ) / 2
LCM(410,1808) = 741280 / 2
LCM(410,1808) = 370640
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FAQs on GCF of Fractions of 1552/410, 9495/1808
1. What is the HCF of 1552,9495?
The HCF of 1552,9495 is 1
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 1552/410, 9495/1808?
Answer: GCF of Numerators as per given numbers 1552/410, 9495/1808 is
GCF of Numerators i.e. for 1552,9495 is 1
LCM of denominators i.e. for 410,1808 is 370640.
Thus, GCF of Fractions is 1/370640.Finally, GCF of Fractions for 1552/410, 9495/1808 is 1/370640.