GCF of 803/606, 6207/475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 803/606, 6207/475 i.e 1/287850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/606, 6207/475.
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 803/606,6207/475?
Given fractions are 803/606,6207/475
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 803/606,6207/475, numerators are 803,6207
Denominators are 606,475
The GCF of 803,6207 is 1 .
LCM of 606,475 is 287850.
The greatest common factor of 803/606,6207/475 = [GCF of 803,6207]/[LCM of 606,475]= 1/287850
Therefore, the GCF of 803/606,6207/475 is 1/287850.
To find the highest common factor of 803,6207, we have to find the factors of both numbers and list the highest common factor.
The factors of 803 are 1, 11, 73, 803
The factors of 6207 are 1, 3, 2069, 6207
The HCF of 803,6207 is 1.
Lets's calculate GCF of 803,6207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 803,6207 By Matching Biggest Common Factor Method
Now, list down the factors of 803
:1,11,73,803
Now, list down the factors of 6207
:1,3,2069,6207
Greatest Common Factor
We found the factors 803,6207 . The biggest common factor number is the GCF number.
So the greatest common factor 803,6207 is 1.
Lets's calculate LCM of 606,475
Given numbers has no common factors except 1. So, there LCM is their product i.e 287850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287850
Therefore, the GCF of Fractions 803/606,6207/475 is 1/287850
Least Common Multiple of 606,475 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 606,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,475) x common factors =1 x 1 = 1
LCM(606,475) = ( 606 × 475 ) / 1
LCM(606,475) = 287850 / 1
LCM(606,475) = 287850
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FAQs on GCF of Fractions of 803/606, 6207/475
1. What is the HCF of 803,6207?
The HCF of 803,6207 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 803/606, 6207/475?
Answer: GCF of Numerators as per given numbers 803/606, 6207/475 is
GCF of Numerators i.e. for 803,6207 is 1
LCM of denominators i.e. for 606,475 is 287850.
Thus, GCF of Fractions is 1/287850.Finally, GCF of Fractions for 803/606, 6207/475 is 1/287850.