GCF of 4826/977, 6686/8563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4826/977, 6686/8563 i.e 2/8366051 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4826/977, 6686/8563.
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 4826/977,6686/8563?
Given fractions are 4826/977,6686/8563
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 4826/977,6686/8563, numerators are 4826,6686
Denominators are 977,8563
The GCF of 4826,6686 is 2 .
LCM of 977,8563 is 8366051.
The greatest common factor of 4826/977,6686/8563 = [GCF of 4826,6686]/[LCM of 977,8563]= 2/8366051
Therefore, the GCF of 4826/977,6686/8563 is 2/8366051.
To find the highest common factor of 4826,6686, we have to find the factors of both numbers and list the highest common factor.
The factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826
The factors of 6686 are 1, 2, 3343, 6686
The HCF of 4826,6686 is 2.
Lets's calculate GCF of 4826,6686
| 2 | 4826, 6686 |
| 2413, 3343 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4826,6686 By Matching Biggest Common Factor Method
Now, list down the factors of 4826
:1,2,19,38,127,254,2413,4826
Now, list down the factors of 6686
:1,2,3343,6686
Greatest Common Factor
We found the factors 4826,6686 . The biggest common factor number is the GCF number.
So the greatest common factor 4826,6686 is 2.
Lets's calculate LCM of 977,8563
Given numbers has no common factors except 1. So, there LCM is their product i.e 8366051
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8366051
Therefore, the GCF of Fractions 4826/977,6686/8563 is 2/8366051
Least Common Multiple of 977,8563 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 977,8563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,8563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,8563) x common factors =1 x 1 = 1
LCM(977,8563) = ( 977 × 8563 ) / 1
LCM(977,8563) = 8366051 / 1
LCM(977,8563) = 8366051
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FAQs on GCF of Fractions of 4826/977, 6686/8563
1. What is the HCF of 4826,6686?
The HCF of 4826,6686 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 4826/977, 6686/8563?
Answer: GCF of Numerators as per given numbers 4826/977, 6686/8563 is
GCF of Numerators i.e. for 4826,6686 is 2
LCM of denominators i.e. for 977,8563 is 8366051.
Thus, GCF of Fractions is 2/8366051.Finally, GCF of Fractions for 4826/977, 6686/8563 is 2/8366051.