GCF of 7207/708, 8846/9233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7207/708, 8846/9233 i.e 1/6536964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7207/708, 8846/9233.
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 7207/708,8846/9233?
Given fractions are 7207/708,8846/9233
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 7207/708,8846/9233, numerators are 7207,8846
Denominators are 708,9233
The GCF of 7207,8846 is 1 .
LCM of 708,9233 is 6536964.
The greatest common factor of 7207/708,8846/9233 = [GCF of 7207,8846]/[LCM of 708,9233]= 1/6536964
Therefore, the GCF of 7207/708,8846/9233 is 1/6536964.
To find the highest common factor of 7207,8846, we have to find the factors of both numbers and list the highest common factor.
The factors of 7207 are 1, 7207
The factors of 8846 are 1, 2, 4423, 8846
The HCF of 7207,8846 is 1.
Lets's calculate GCF of 7207,8846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7207,8846 By Matching Biggest Common Factor Method
Now, list down the factors of 7207
:1,7207
Now, list down the factors of 8846
:1,2,4423,8846
Greatest Common Factor
We found the factors 7207,8846 . The biggest common factor number is the GCF number.
So the greatest common factor 7207,8846 is 1.
Lets's calculate LCM of 708,9233
Given numbers has no common factors except 1. So, there LCM is their product i.e 6536964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6536964
Therefore, the GCF of Fractions 7207/708,8846/9233 is 1/6536964
Least Common Multiple of 708,9233 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 708,9233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,9233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(708,9233) x common factors =1 x 1 = 1
LCM(708,9233) = ( 708 × 9233 ) / 1
LCM(708,9233) = 6536964 / 1
LCM(708,9233) = 6536964
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FAQs on GCF of Fractions of 7207/708, 8846/9233
1. What is the HCF of 7207,8846?
The HCF of 7207,8846 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 7207/708, 8846/9233?
Answer: GCF of Numerators as per given numbers 7207/708, 8846/9233 is
GCF of Numerators i.e. for 7207,8846 is 1
LCM of denominators i.e. for 708,9233 is 6536964.
Thus, GCF of Fractions is 1/6536964.Finally, GCF of Fractions for 7207/708, 8846/9233 is 1/6536964.