GCF of 1805/121, 9024/3942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1805/121, 9024/3942 i.e 1/476982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1805/121, 9024/3942.
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 1805/121,9024/3942?
Given fractions are 1805/121,9024/3942
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 1805/121,9024/3942, numerators are 1805,9024
Denominators are 121,3942
The GCF of 1805,9024 is 1 .
LCM of 121,3942 is 476982.
The greatest common factor of 1805/121,9024/3942 = [GCF of 1805,9024]/[LCM of 121,3942]= 1/476982
Therefore, the GCF of 1805/121,9024/3942 is 1/476982.
To find the highest common factor of 1805,9024, we have to find the factors of both numbers and list the highest common factor.
The factors of 1805 are 1, 5, 19, 95, 361, 1805
The factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024
The HCF of 1805,9024 is 1.
Lets's calculate GCF of 1805,9024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1805,9024 By Matching Biggest Common Factor Method
Now, list down the factors of 1805
:1,5,19,95,361,1805
Now, list down the factors of 9024
:1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024
Greatest Common Factor
We found the factors 1805,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 1805,9024 is 1.
Lets's calculate LCM of 121,3942
Given numbers has no common factors except 1. So, there LCM is their product i.e 476982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476982
Therefore, the GCF of Fractions 1805/121,9024/3942 is 1/476982
Least Common Multiple of 121,3942 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 121,3942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,3942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,3942) x common factors =1 x 1 = 1
LCM(121,3942) = ( 121 × 3942 ) / 1
LCM(121,3942) = 476982 / 1
LCM(121,3942) = 476982
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FAQs on GCF of Fractions of 1805/121, 9024/3942
1. What is the HCF of 1805,9024?
The HCF of 1805,9024 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 1805/121, 9024/3942?
Answer: GCF of Numerators as per given numbers 1805/121, 9024/3942 is
GCF of Numerators i.e. for 1805,9024 is 1
LCM of denominators i.e. for 121,3942 is 476982.
Thus, GCF of Fractions is 1/476982.Finally, GCF of Fractions for 1805/121, 9024/3942 is 1/476982.