GCF of 6605/69, 8786/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6605/69, 8786/890 i.e 1/61410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6605/69, 8786/890.
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 6605/69,8786/890?
Given fractions are 6605/69,8786/890
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 6605/69,8786/890, numerators are 6605,8786
Denominators are 69,890
The GCF of 6605,8786 is 1 .
LCM of 69,890 is 61410.
The greatest common factor of 6605/69,8786/890 = [GCF of 6605,8786]/[LCM of 69,890]= 1/61410
Therefore, the GCF of 6605/69,8786/890 is 1/61410.
To find the highest common factor of 6605,8786, we have to find the factors of both numbers and list the highest common factor.
The factors of 6605 are 1, 5, 1321, 6605
The factors of 8786 are 1, 2, 23, 46, 191, 382, 4393, 8786
The HCF of 6605,8786 is 1.
Lets's calculate GCF of 6605,8786
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6605,8786 By Matching Biggest Common Factor Method
Now, list down the factors of 6605
:1,5,1321,6605
Now, list down the factors of 8786
:1,2,23,46,191,382,4393,8786
Greatest Common Factor
We found the factors 6605,8786 . The biggest common factor number is the GCF number.
So the greatest common factor 6605,8786 is 1.
Lets's calculate LCM of 69,890
Given numbers has no common factors except 1. So, there LCM is their product i.e 61410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61410
Therefore, the GCF of Fractions 6605/69,8786/890 is 1/61410
Least Common Multiple of 69,890 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 69,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,890) x common factors =1 x 1 = 1
LCM(69,890) = ( 69 × 890 ) / 1
LCM(69,890) = 61410 / 1
LCM(69,890) = 61410
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FAQs on GCF of Fractions of 6605/69, 8786/890
1. What is the HCF of 6605,8786?
The HCF of 6605,8786 is 1
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 6605/69, 8786/890?
Answer: GCF of Numerators as per given numbers 6605/69, 8786/890 is
GCF of Numerators i.e. for 6605,8786 is 1
LCM of denominators i.e. for 69,890 is 61410.
Thus, GCF of Fractions is 1/61410.Finally, GCF of Fractions for 6605/69, 8786/890 is 1/61410.