GCF of 8720/417, 8726/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8720/417, 8726/102 i.e 2/14178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8720/417, 8726/102.
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 8720/417,8726/102?
Given fractions are 8720/417,8726/102
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 8720/417,8726/102, numerators are 8720,8726
Denominators are 417,102
The GCF of 8720,8726 is 2 .
LCM of 417,102 is 14178.
The greatest common factor of 8720/417,8726/102 = [GCF of 8720,8726]/[LCM of 417,102]= 2/14178
Therefore, the GCF of 8720/417,8726/102 is 2/14178.
To find the highest common factor of 8720,8726, we have to find the factors of both numbers and list the highest common factor.
The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720
The factors of 8726 are 1, 2, 4363, 8726
The HCF of 8720,8726 is 2.
Lets's calculate GCF of 8720,8726
| 2 | 8720, 8726 |
| 4360, 4363 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8720,8726 By Matching Biggest Common Factor Method
Now, list down the factors of 8720
:1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Now, list down the factors of 8726
:1,2,4363,8726
Greatest Common Factor
We found the factors 8720,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 8720,8726 is 2.
Lets's calculate LCM of 417,102
| 3 | 417, 102 |
| 139, 34 |
∴ So the LCM of the given numbers is 3 x 139 x 34 = 14178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14178
Therefore, the GCF of Fractions 8720/417,8726/102 is 2/14178
Least Common Multiple of 417,102 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 417,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,102) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,102) x common factors =3 x 1 = 3
LCM(417,102) = ( 417 × 102 ) / 3
LCM(417,102) = 42534 / 3
LCM(417,102) = 14178
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FAQs on GCF of Fractions of 8720/417, 8726/102
1. What is the HCF of 8720,8726?
The HCF of 8720,8726 is 2
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 8720/417, 8726/102?
Answer: GCF of Numerators as per given numbers 8720/417, 8726/102 is
GCF of Numerators i.e. for 8720,8726 is 2
LCM of denominators i.e. for 417,102 is 14178.
Thus, GCF of Fractions is 2/14178.Finally, GCF of Fractions for 8720/417, 8726/102 is 2/14178.