GCF of 207/72, 313/9011
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 207/72, 313/9011 i.e 1/648792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 207/72, 313/9011.
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 207/72,313/9011?
Given fractions are 207/72,313/9011
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 207/72,313/9011, numerators are 207,313
Denominators are 72,9011
The GCF of 207,313 is 1 .
LCM of 72,9011 is 648792.
The greatest common factor of 207/72,313/9011 = [GCF of 207,313]/[LCM of 72,9011]= 1/648792
Therefore, the GCF of 207/72,313/9011 is 1/648792.
To find the highest common factor of 207,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 207 are 1, 3, 9, 23, 69, 207
The factors of 313 are 1, 313
The HCF of 207,313 is 1.
Lets's calculate GCF of 207,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 207,313 By Matching Biggest Common Factor Method
Now, list down the factors of 207
:1,3,9,23,69,207
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 207,313 . The biggest common factor number is the GCF number.
So the greatest common factor 207,313 is 1.
Lets's calculate LCM of 72,9011
Given numbers has no common factors except 1. So, there LCM is their product i.e 648792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648792
Therefore, the GCF of Fractions 207/72,313/9011 is 1/648792
Least Common Multiple of 72,9011 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 72,9011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,9011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,9011) x common factors =1 x 1 = 1
LCM(72,9011) = ( 72 × 9011 ) / 1
LCM(72,9011) = 648792 / 1
LCM(72,9011) = 648792
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FAQs on GCF of Fractions of 207/72, 313/9011
1. What is the HCF of 207,313?
The HCF of 207,313 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 207/72, 313/9011?
Answer: GCF of Numerators as per given numbers 207/72, 313/9011 is
GCF of Numerators i.e. for 207,313 is 1
LCM of denominators i.e. for 72,9011 is 648792.
Thus, GCF of Fractions is 1/648792.Finally, GCF of Fractions for 207/72, 313/9011 is 1/648792.