GCF of 1807/653, 8786/8241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1807/653, 8786/8241 i.e 1/5381373 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1807/653, 8786/8241.
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 1807/653,8786/8241?
Given fractions are 1807/653,8786/8241
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 1807/653,8786/8241, numerators are 1807,8786
Denominators are 653,8241
The GCF of 1807,8786 is 1 .
LCM of 653,8241 is 5381373.
The greatest common factor of 1807/653,8786/8241 = [GCF of 1807,8786]/[LCM of 653,8241]= 1/5381373
Therefore, the GCF of 1807/653,8786/8241 is 1/5381373.
To find the highest common factor of 1807,8786, we have to find the factors of both numbers and list the highest common factor.
The factors of 1807 are 1, 13, 139, 1807
The factors of 8786 are 1, 2, 23, 46, 191, 382, 4393, 8786
The HCF of 1807,8786 is 1.
Lets's calculate GCF of 1807,8786
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1807,8786 By Matching Biggest Common Factor Method
Now, list down the factors of 1807
:1,13,139,1807
Now, list down the factors of 8786
:1,2,23,46,191,382,4393,8786
Greatest Common Factor
We found the factors 1807,8786 . The biggest common factor number is the GCF number.
So the greatest common factor 1807,8786 is 1.
Lets's calculate LCM of 653,8241
Given numbers has no common factors except 1. So, there LCM is their product i.e 5381373
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5381373
Therefore, the GCF of Fractions 1807/653,8786/8241 is 1/5381373
Least Common Multiple of 653,8241 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 653,8241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,8241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,8241) x common factors =1 x 1 = 1
LCM(653,8241) = ( 653 × 8241 ) / 1
LCM(653,8241) = 5381373 / 1
LCM(653,8241) = 5381373
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FAQs on GCF of Fractions of 1807/653, 8786/8241
1. What is the HCF of 1807,8786?
The HCF of 1807,8786 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 1807/653, 8786/8241?
Answer: GCF of Numerators as per given numbers 1807/653, 8786/8241 is
GCF of Numerators i.e. for 1807,8786 is 1
LCM of denominators i.e. for 653,8241 is 5381373.
Thus, GCF of Fractions is 1/5381373.Finally, GCF of Fractions for 1807/653, 8786/8241 is 1/5381373.