GCF of 2176/170, 7259/8121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2176/170, 7259/8121 i.e 17/1380570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2176/170, 7259/8121.
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 2176/170,7259/8121?
Given fractions are 2176/170,7259/8121
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 2176/170,7259/8121, numerators are 2176,7259
Denominators are 170,8121
The GCF of 2176,7259 is 17 .
LCM of 170,8121 is 1380570.
The greatest common factor of 2176/170,7259/8121 = [GCF of 2176,7259]/[LCM of 170,8121]= 17/1380570
Therefore, the GCF of 2176/170,7259/8121 is 17/1380570.
To find the highest common factor of 2176,7259, we have to find the factors of both numbers and list the highest common factor.
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259
The HCF of 2176,7259 is 17.
Lets's calculate GCF of 2176,7259
| 17 | 2176, 7259 |
| 128, 427 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2176,7259 By Matching Biggest Common Factor Method
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Now, list down the factors of 7259
:1,7,17,61,119,427,1037,7259
Greatest Common Factor
We found the factors 2176,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 2176,7259 is 17.
Lets's calculate LCM of 170,8121
Given numbers has no common factors except 1. So, there LCM is their product i.e 1380570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1380570
Therefore, the GCF of Fractions 2176/170,7259/8121 is 17/1380570
Least Common Multiple of 170,8121 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 170,8121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,8121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,8121) x common factors =1 x 1 = 1
LCM(170,8121) = ( 170 × 8121 ) / 1
LCM(170,8121) = 1380570 / 1
LCM(170,8121) = 1380570
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FAQs on GCF of Fractions of 2176/170, 7259/8121
1. What is the HCF of 2176,7259?
The HCF of 2176,7259 is 17
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 2176/170, 7259/8121?
Answer: GCF of Numerators as per given numbers 2176/170, 7259/8121 is
GCF of Numerators i.e. for 2176,7259 is 17
LCM of denominators i.e. for 170,8121 is 1380570.
Thus, GCF of Fractions is 17/1380570.Finally, GCF of Fractions for 2176/170, 7259/8121 is 17/1380570.