GCF of 8858/837, 8706/2073
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8858/837, 8706/2073 i.e 2/578367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8858/837, 8706/2073.
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 8858/837,8706/2073?
Given fractions are 8858/837,8706/2073
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 8858/837,8706/2073, numerators are 8858,8706
Denominators are 837,2073
The GCF of 8858,8706 is 2 .
LCM of 837,2073 is 578367.
The greatest common factor of 8858/837,8706/2073 = [GCF of 8858,8706]/[LCM of 837,2073]= 2/578367
Therefore, the GCF of 8858/837,8706/2073 is 2/578367.
To find the highest common factor of 8858,8706, we have to find the factors of both numbers and list the highest common factor.
The factors of 8858 are 1, 2, 43, 86, 103, 206, 4429, 8858
The factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706
The HCF of 8858,8706 is 2.
Lets's calculate GCF of 8858,8706
| 2 | 8858, 8706 |
| 4429, 4353 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8858,8706 By Matching Biggest Common Factor Method
Now, list down the factors of 8858
:1,2,43,86,103,206,4429,8858
Now, list down the factors of 8706
:1,2,3,6,1451,2902,4353,8706
Greatest Common Factor
We found the factors 8858,8706 . The biggest common factor number is the GCF number.
So the greatest common factor 8858,8706 is 2.
Lets's calculate LCM of 837,2073
| 3 | 837, 2073 |
| 279, 691 |
∴ So the LCM of the given numbers is 3 x 279 x 691 = 578367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/578367
Therefore, the GCF of Fractions 8858/837,8706/2073 is 2/578367
Least Common Multiple of 837,2073 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 837,2073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,2073) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(837,2073) x common factors =3 x 1 = 3
LCM(837,2073) = ( 837 × 2073 ) / 3
LCM(837,2073) = 1735101 / 3
LCM(837,2073) = 578367
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FAQs on GCF of Fractions of 8858/837, 8706/2073
1. What is the HCF of 8858,8706?
The HCF of 8858,8706 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 8858/837, 8706/2073?
Answer: GCF of Numerators as per given numbers 8858/837, 8706/2073 is
GCF of Numerators i.e. for 8858,8706 is 2
LCM of denominators i.e. for 837,2073 is 578367.
Thus, GCF of Fractions is 2/578367.Finally, GCF of Fractions for 8858/837, 8706/2073 is 2/578367.