GCF of 1804/662, 3619/9983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1804/662, 3619/9983 i.e 11/6608746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1804/662, 3619/9983.
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 1804/662,3619/9983?
Given fractions are 1804/662,3619/9983
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 1804/662,3619/9983, numerators are 1804,3619
Denominators are 662,9983
The GCF of 1804,3619 is 11 .
LCM of 662,9983 is 6608746.
The greatest common factor of 1804/662,3619/9983 = [GCF of 1804,3619]/[LCM of 662,9983]= 11/6608746
Therefore, the GCF of 1804/662,3619/9983 is 11/6608746.
To find the highest common factor of 1804,3619, we have to find the factors of both numbers and list the highest common factor.
The factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804
The factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619
The HCF of 1804,3619 is 11.
Lets's calculate GCF of 1804,3619
| 11 | 1804, 3619 |
| 164, 329 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1804,3619 By Matching Biggest Common Factor Method
Now, list down the factors of 1804
:1,2,4,11,22,41,44,82,164,451,902,1804
Now, list down the factors of 3619
:1,7,11,47,77,329,517,3619
Greatest Common Factor
We found the factors 1804,3619 . The biggest common factor number is the GCF number.
So the greatest common factor 1804,3619 is 11.
Lets's calculate LCM of 662,9983
Given numbers has no common factors except 1. So, there LCM is their product i.e 6608746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6608746
Therefore, the GCF of Fractions 1804/662,3619/9983 is 11/6608746
Least Common Multiple of 662,9983 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 662,9983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,9983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,9983) x common factors =1 x 1 = 1
LCM(662,9983) = ( 662 × 9983 ) / 1
LCM(662,9983) = 6608746 / 1
LCM(662,9983) = 6608746
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FAQs on GCF of Fractions of 1804/662, 3619/9983
1. What is the HCF of 1804,3619?
The HCF of 1804,3619 is 11
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 1804/662, 3619/9983?
Answer: GCF of Numerators as per given numbers 1804/662, 3619/9983 is
GCF of Numerators i.e. for 1804,3619 is 11
LCM of denominators i.e. for 662,9983 is 6608746.
Thus, GCF of Fractions is 11/6608746.Finally, GCF of Fractions for 1804/662, 3619/9983 is 11/6608746.