GCF of 1207/408, 7985/1475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1207/408, 7985/1475 i.e 1/601800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1207/408, 7985/1475.
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 1207/408,7985/1475?
Given fractions are 1207/408,7985/1475
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 1207/408,7985/1475, numerators are 1207,7985
Denominators are 408,1475
The GCF of 1207,7985 is 1 .
LCM of 408,1475 is 601800.
The greatest common factor of 1207/408,7985/1475 = [GCF of 1207,7985]/[LCM of 408,1475]= 1/601800
Therefore, the GCF of 1207/408,7985/1475 is 1/601800.
To find the highest common factor of 1207,7985, we have to find the factors of both numbers and list the highest common factor.
The factors of 1207 are 1, 17, 71, 1207
The factors of 7985 are 1, 5, 1597, 7985
The HCF of 1207,7985 is 1.
Lets's calculate GCF of 1207,7985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1207,7985 By Matching Biggest Common Factor Method
Now, list down the factors of 1207
:1,17,71,1207
Now, list down the factors of 7985
:1,5,1597,7985
Greatest Common Factor
We found the factors 1207,7985 . The biggest common factor number is the GCF number.
So the greatest common factor 1207,7985 is 1.
Lets's calculate LCM of 408,1475
Given numbers has no common factors except 1. So, there LCM is their product i.e 601800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601800
Therefore, the GCF of Fractions 1207/408,7985/1475 is 1/601800
Least Common Multiple of 408,1475 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 408,1475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,1475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,1475) x common factors =1 x 1 = 1
LCM(408,1475) = ( 408 × 1475 ) / 1
LCM(408,1475) = 601800 / 1
LCM(408,1475) = 601800
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FAQs on GCF of Fractions of 1207/408, 7985/1475
1. What is the HCF of 1207,7985?
The HCF of 1207,7985 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 1207/408, 7985/1475?
Answer: GCF of Numerators as per given numbers 1207/408, 7985/1475 is
GCF of Numerators i.e. for 1207,7985 is 1
LCM of denominators i.e. for 408,1475 is 601800.
Thus, GCF of Fractions is 1/601800.Finally, GCF of Fractions for 1207/408, 7985/1475 is 1/601800.