GCF of 8356/892, 6182/829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8356/892, 6182/829 i.e 2/739468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8356/892, 6182/829.
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 8356/892,6182/829?
Given fractions are 8356/892,6182/829
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 8356/892,6182/829, numerators are 8356,6182
Denominators are 892,829
The GCF of 8356,6182 is 2 .
LCM of 892,829 is 739468.
The greatest common factor of 8356/892,6182/829 = [GCF of 8356,6182]/[LCM of 892,829]= 2/739468
Therefore, the GCF of 8356/892,6182/829 is 2/739468.
To find the highest common factor of 8356,6182, we have to find the factors of both numbers and list the highest common factor.
The factors of 8356 are 1, 2, 4, 2089, 4178, 8356
The factors of 6182 are 1, 2, 11, 22, 281, 562, 3091, 6182
The HCF of 8356,6182 is 2.
Lets's calculate GCF of 8356,6182
| 2 | 8356, 6182 |
| 4178, 3091 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8356,6182 By Matching Biggest Common Factor Method
Now, list down the factors of 8356
:1,2,4,2089,4178,8356
Now, list down the factors of 6182
:1,2,11,22,281,562,3091,6182
Greatest Common Factor
We found the factors 8356,6182 . The biggest common factor number is the GCF number.
So the greatest common factor 8356,6182 is 2.
Lets's calculate LCM of 892,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 739468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/739468
Therefore, the GCF of Fractions 8356/892,6182/829 is 2/739468
Least Common Multiple of 892,829 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 892,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,829) x common factors =1 x 1 = 1
LCM(892,829) = ( 892 × 829 ) / 1
LCM(892,829) = 739468 / 1
LCM(892,829) = 739468
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FAQs on GCF of Fractions of 8356/892, 6182/829
1. What is the HCF of 8356,6182?
The HCF of 8356,6182 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 8356/892, 6182/829?
Answer: GCF of Numerators as per given numbers 8356/892, 6182/829 is
GCF of Numerators i.e. for 8356,6182 is 2
LCM of denominators i.e. for 892,829 is 739468.
Thus, GCF of Fractions is 2/739468.Finally, GCF of Fractions for 8356/892, 6182/829 is 2/739468.