GCF of 1849/121, 9645/7705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1849/121, 9645/7705 i.e 1/932305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1849/121, 9645/7705.
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 1849/121,9645/7705?
Given fractions are 1849/121,9645/7705
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 1849/121,9645/7705, numerators are 1849,9645
Denominators are 121,7705
The GCF of 1849,9645 is 1 .
LCM of 121,7705 is 932305.
The greatest common factor of 1849/121,9645/7705 = [GCF of 1849,9645]/[LCM of 121,7705]= 1/932305
Therefore, the GCF of 1849/121,9645/7705 is 1/932305.
To find the highest common factor of 1849,9645, we have to find the factors of both numbers and list the highest common factor.
The factors of 1849 are 1, 43, 1849
The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645
The HCF of 1849,9645 is 1.
Lets's calculate GCF of 1849,9645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1849,9645 By Matching Biggest Common Factor Method
Now, list down the factors of 1849
:1,43,1849
Now, list down the factors of 9645
:1,3,5,15,643,1929,3215,9645
Greatest Common Factor
We found the factors 1849,9645 . The biggest common factor number is the GCF number.
So the greatest common factor 1849,9645 is 1.
Lets's calculate LCM of 121,7705
Given numbers has no common factors except 1. So, there LCM is their product i.e 932305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/932305
Therefore, the GCF of Fractions 1849/121,9645/7705 is 1/932305
Least Common Multiple of 121,7705 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 121,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,7705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,7705) x common factors =1 x 1 = 1
LCM(121,7705) = ( 121 × 7705 ) / 1
LCM(121,7705) = 932305 / 1
LCM(121,7705) = 932305
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FAQs on GCF of Fractions of 1849/121, 9645/7705
1. What is the HCF of 1849,9645?
The HCF of 1849,9645 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 1849/121, 9645/7705?
Answer: GCF of Numerators as per given numbers 1849/121, 9645/7705 is
GCF of Numerators i.e. for 1849,9645 is 1
LCM of denominators i.e. for 121,7705 is 932305.
Thus, GCF of Fractions is 1/932305.Finally, GCF of Fractions for 1849/121, 9645/7705 is 1/932305.