GCF of 9807/803, 6207/7115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9807/803, 6207/7115 i.e 3/5713345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9807/803, 6207/7115.
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 9807/803,6207/7115?
Given fractions are 9807/803,6207/7115
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 9807/803,6207/7115, numerators are 9807,6207
Denominators are 803,7115
The GCF of 9807,6207 is 3 .
LCM of 803,7115 is 5713345.
The greatest common factor of 9807/803,6207/7115 = [GCF of 9807,6207]/[LCM of 803,7115]= 3/5713345
Therefore, the GCF of 9807/803,6207/7115 is 3/5713345.
To find the highest common factor of 9807,6207, we have to find the factors of both numbers and list the highest common factor.
The factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807
The factors of 6207 are 1, 3, 2069, 6207
The HCF of 9807,6207 is 3.
Lets's calculate GCF of 9807,6207
| 3 | 9807, 6207 |
| 3269, 2069 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9807,6207 By Matching Biggest Common Factor Method
Now, list down the factors of 9807
:1,3,7,21,467,1401,3269,9807
Now, list down the factors of 6207
:1,3,2069,6207
Greatest Common Factor
We found the factors 9807,6207 . The biggest common factor number is the GCF number.
So the greatest common factor 9807,6207 is 3.
Lets's calculate LCM of 803,7115
Given numbers has no common factors except 1. So, there LCM is their product i.e 5713345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5713345
Therefore, the GCF of Fractions 9807/803,6207/7115 is 3/5713345
Least Common Multiple of 803,7115 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 803,7115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,7115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,7115) x common factors =1 x 1 = 1
LCM(803,7115) = ( 803 × 7115 ) / 1
LCM(803,7115) = 5713345 / 1
LCM(803,7115) = 5713345
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FAQs on GCF of Fractions of 9807/803, 6207/7115
1. What is the HCF of 9807,6207?
The HCF of 9807,6207 is 3
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 9807/803, 6207/7115?
Answer: GCF of Numerators as per given numbers 9807/803, 6207/7115 is
GCF of Numerators i.e. for 9807,6207 is 3
LCM of denominators i.e. for 803,7115 is 5713345.
Thus, GCF of Fractions is 3/5713345.Finally, GCF of Fractions for 9807/803, 6207/7115 is 3/5713345.