GCF of 8455/161, 2679/8930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8455/161, 2679/8930 i.e 19/1437730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8455/161, 2679/8930.
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 8455/161,2679/8930?
Given fractions are 8455/161,2679/8930
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 8455/161,2679/8930, numerators are 8455,2679
Denominators are 161,8930
The GCF of 8455,2679 is 19 .
LCM of 161,8930 is 1437730.
The greatest common factor of 8455/161,2679/8930 = [GCF of 8455,2679]/[LCM of 161,8930]= 19/1437730
Therefore, the GCF of 8455/161,2679/8930 is 19/1437730.
To find the highest common factor of 8455,2679, we have to find the factors of both numbers and list the highest common factor.
The factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455
The factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679
The HCF of 8455,2679 is 19.
Lets's calculate GCF of 8455,2679
| 19 | 8455, 2679 |
| 445, 141 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8455,2679 By Matching Biggest Common Factor Method
Now, list down the factors of 8455
:1,5,19,89,95,445,1691,8455
Now, list down the factors of 2679
:1,3,19,47,57,141,893,2679
Greatest Common Factor
We found the factors 8455,2679 . The biggest common factor number is the GCF number.
So the greatest common factor 8455,2679 is 19.
Lets's calculate LCM of 161,8930
Given numbers has no common factors except 1. So, there LCM is their product i.e 1437730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1437730
Therefore, the GCF of Fractions 8455/161,2679/8930 is 19/1437730
Least Common Multiple of 161,8930 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 161,8930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,8930) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,8930) x common factors =1 x 1 = 1
LCM(161,8930) = ( 161 × 8930 ) / 1
LCM(161,8930) = 1437730 / 1
LCM(161,8930) = 1437730
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FAQs on GCF of Fractions of 8455/161, 2679/8930
1. What is the HCF of 8455,2679?
The HCF of 8455,2679 is 19
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 8455/161, 2679/8930?
Answer: GCF of Numerators as per given numbers 8455/161, 2679/8930 is
GCF of Numerators i.e. for 8455,2679 is 19
LCM of denominators i.e. for 161,8930 is 1437730.
Thus, GCF of Fractions is 19/1437730.Finally, GCF of Fractions for 8455/161, 2679/8930 is 19/1437730.