GCF of 8145/845, 1979/266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8145/845, 1979/266 i.e 1/224770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8145/845, 1979/266.
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 8145/845,1979/266?
Given fractions are 8145/845,1979/266
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 8145/845,1979/266, numerators are 8145,1979
Denominators are 845,266
The GCF of 8145,1979 is 1 .
LCM of 845,266 is 224770.
The greatest common factor of 8145/845,1979/266 = [GCF of 8145,1979]/[LCM of 845,266]= 1/224770
Therefore, the GCF of 8145/845,1979/266 is 1/224770.
To find the highest common factor of 8145,1979, we have to find the factors of both numbers and list the highest common factor.
The factors of 8145 are 1, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 8145
The factors of 1979 are 1, 1979
The HCF of 8145,1979 is 1.
Lets's calculate GCF of 8145,1979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8145,1979 By Matching Biggest Common Factor Method
Now, list down the factors of 8145
:1,3,5,9,15,45,181,543,905,1629,2715,8145
Now, list down the factors of 1979
:1,1979
Greatest Common Factor
We found the factors 8145,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 8145,1979 is 1.
Lets's calculate LCM of 845,266
Given numbers has no common factors except 1. So, there LCM is their product i.e 224770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224770
Therefore, the GCF of Fractions 8145/845,1979/266 is 1/224770
Least Common Multiple of 845,266 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 845,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,266) x common factors =1 x 1 = 1
LCM(845,266) = ( 845 × 266 ) / 1
LCM(845,266) = 224770 / 1
LCM(845,266) = 224770
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FAQs on GCF of Fractions of 8145/845, 1979/266
1. What is the HCF of 8145,1979?
The HCF of 8145,1979 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 8145/845, 1979/266?
Answer: GCF of Numerators as per given numbers 8145/845, 1979/266 is
GCF of Numerators i.e. for 8145,1979 is 1
LCM of denominators i.e. for 845,266 is 224770.
Thus, GCF of Fractions is 1/224770.Finally, GCF of Fractions for 8145/845, 1979/266 is 1/224770.