GCF of 1808/902, 1685/4162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1808/902, 1685/4162 i.e 1/1877062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1808/902, 1685/4162.
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 1808/902,1685/4162?
Given fractions are 1808/902,1685/4162
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 1808/902,1685/4162, numerators are 1808,1685
Denominators are 902,4162
The GCF of 1808,1685 is 1 .
LCM of 902,4162 is 1877062.
The greatest common factor of 1808/902,1685/4162 = [GCF of 1808,1685]/[LCM of 902,4162]= 1/1877062
Therefore, the GCF of 1808/902,1685/4162 is 1/1877062.
To find the highest common factor of 1808,1685, we have to find the factors of both numbers and list the highest common factor.
The factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808
The factors of 1685 are 1, 5, 337, 1685
The HCF of 1808,1685 is 1.
Lets's calculate GCF of 1808,1685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1808,1685 By Matching Biggest Common Factor Method
Now, list down the factors of 1808
:1,2,4,8,16,113,226,452,904,1808
Now, list down the factors of 1685
:1,5,337,1685
Greatest Common Factor
We found the factors 1808,1685 . The biggest common factor number is the GCF number.
So the greatest common factor 1808,1685 is 1.
Lets's calculate LCM of 902,4162
| 2 | 902, 4162 |
| 451, 2081 |
∴ So the LCM of the given numbers is 2 x 451 x 2081 = 1877062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1877062
Therefore, the GCF of Fractions 1808/902,1685/4162 is 1/1877062
Least Common Multiple of 902,4162 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 902,4162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,4162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,4162) x common factors =2 x 1 = 2
LCM(902,4162) = ( 902 × 4162 ) / 2
LCM(902,4162) = 3754124 / 2
LCM(902,4162) = 1877062
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FAQs on GCF of Fractions of 1808/902, 1685/4162
1. What is the HCF of 1808,1685?
The HCF of 1808,1685 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 1808/902, 1685/4162?
Answer: GCF of Numerators as per given numbers 1808/902, 1685/4162 is
GCF of Numerators i.e. for 1808,1685 is 1
LCM of denominators i.e. for 902,4162 is 1877062.
Thus, GCF of Fractions is 1/1877062.Finally, GCF of Fractions for 1808/902, 1685/4162 is 1/1877062.