GCF of 1770/845, 8149/2888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1770/845, 8149/2888 i.e 1/2440360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1770/845, 8149/2888.
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 1770/845,8149/2888?
Given fractions are 1770/845,8149/2888
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 1770/845,8149/2888, numerators are 1770,8149
Denominators are 845,2888
The GCF of 1770,8149 is 1 .
LCM of 845,2888 is 2440360.
The greatest common factor of 1770/845,8149/2888 = [GCF of 1770,8149]/[LCM of 845,2888]= 1/2440360
Therefore, the GCF of 1770/845,8149/2888 is 1/2440360.
To find the highest common factor of 1770,8149, we have to find the factors of both numbers and list the highest common factor.
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The factors of 8149 are 1, 29, 281, 8149
The HCF of 1770,8149 is 1.
Lets's calculate GCF of 1770,8149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1770,8149 By Matching Biggest Common Factor Method
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Now, list down the factors of 8149
:1,29,281,8149
Greatest Common Factor
We found the factors 1770,8149 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,8149 is 1.
Lets's calculate LCM of 845,2888
Given numbers has no common factors except 1. So, there LCM is their product i.e 2440360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2440360
Therefore, the GCF of Fractions 1770/845,8149/2888 is 1/2440360
Least Common Multiple of 845,2888 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 845,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,2888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,2888) x common factors =1 x 1 = 1
LCM(845,2888) = ( 845 × 2888 ) / 1
LCM(845,2888) = 2440360 / 1
LCM(845,2888) = 2440360
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FAQs on GCF of Fractions of 1770/845, 8149/2888
1. What is the HCF of 1770,8149?
The HCF of 1770,8149 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 1770/845, 8149/2888?
Answer: GCF of Numerators as per given numbers 1770/845, 8149/2888 is
GCF of Numerators i.e. for 1770,8149 is 1
LCM of denominators i.e. for 845,2888 is 2440360.
Thus, GCF of Fractions is 1/2440360.Finally, GCF of Fractions for 1770/845, 8149/2888 is 1/2440360.