GCF of 8207/641, 9833/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8207/641, 9833/708 i.e 1/453828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8207/641, 9833/708.
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 8207/641,9833/708?
Given fractions are 8207/641,9833/708
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 8207/641,9833/708, numerators are 8207,9833
Denominators are 641,708
The GCF of 8207,9833 is 1 .
LCM of 641,708 is 453828.
The greatest common factor of 8207/641,9833/708 = [GCF of 8207,9833]/[LCM of 641,708]= 1/453828
Therefore, the GCF of 8207/641,9833/708 is 1/453828.
To find the highest common factor of 8207,9833, we have to find the factors of both numbers and list the highest common factor.
The factors of 8207 are 1, 29, 283, 8207
The factors of 9833 are 1, 9833
The HCF of 8207,9833 is 1.
Lets's calculate GCF of 8207,9833
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8207,9833 By Matching Biggest Common Factor Method
Now, list down the factors of 8207
:1,29,283,8207
Now, list down the factors of 9833
:1,9833
Greatest Common Factor
We found the factors 8207,9833 . The biggest common factor number is the GCF number.
So the greatest common factor 8207,9833 is 1.
Lets's calculate LCM of 641,708
Given numbers has no common factors except 1. So, there LCM is their product i.e 453828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453828
Therefore, the GCF of Fractions 8207/641,9833/708 is 1/453828
Least Common Multiple of 641,708 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 641,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,708) x common factors =1 x 1 = 1
LCM(641,708) = ( 641 × 708 ) / 1
LCM(641,708) = 453828 / 1
LCM(641,708) = 453828
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FAQs on GCF of Fractions of 8207/641, 9833/708
1. What is the HCF of 8207,9833?
The HCF of 8207,9833 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 8207/641, 9833/708?
Answer: GCF of Numerators as per given numbers 8207/641, 9833/708 is
GCF of Numerators i.e. for 8207,9833 is 1
LCM of denominators i.e. for 641,708 is 453828.
Thus, GCF of Fractions is 1/453828.Finally, GCF of Fractions for 8207/641, 9833/708 is 1/453828.