GCF of 6267/697, 8475/6719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6267/697, 8475/6719 i.e 3/4683143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6267/697, 8475/6719.
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 6267/697,8475/6719?
Given fractions are 6267/697,8475/6719
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 6267/697,8475/6719, numerators are 6267,8475
Denominators are 697,6719
The GCF of 6267,8475 is 3 .
LCM of 697,6719 is 4683143.
The greatest common factor of 6267/697,8475/6719 = [GCF of 6267,8475]/[LCM of 697,6719]= 3/4683143
Therefore, the GCF of 6267/697,8475/6719 is 3/4683143.
To find the highest common factor of 6267,8475, we have to find the factors of both numbers and list the highest common factor.
The factors of 6267 are 1, 3, 2089, 6267
The factors of 8475 are 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475
The HCF of 6267,8475 is 3.
Lets's calculate GCF of 6267,8475
| 3 | 6267, 8475 |
| 2089, 2825 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6267,8475 By Matching Biggest Common Factor Method
Now, list down the factors of 6267
:1,3,2089,6267
Now, list down the factors of 8475
:1,3,5,15,25,75,113,339,565,1695,2825,8475
Greatest Common Factor
We found the factors 6267,8475 . The biggest common factor number is the GCF number.
So the greatest common factor 6267,8475 is 3.
Lets's calculate LCM of 697,6719
Given numbers has no common factors except 1. So, there LCM is their product i.e 4683143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4683143
Therefore, the GCF of Fractions 6267/697,8475/6719 is 3/4683143
Least Common Multiple of 697,6719 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 697,6719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,6719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,6719) x common factors =1 x 1 = 1
LCM(697,6719) = ( 697 × 6719 ) / 1
LCM(697,6719) = 4683143 / 1
LCM(697,6719) = 4683143
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FAQs on GCF of Fractions of 6267/697, 8475/6719
1. What is the HCF of 6267,8475?
The HCF of 6267,8475 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 6267/697, 8475/6719?
Answer: GCF of Numerators as per given numbers 6267/697, 8475/6719 is
GCF of Numerators i.e. for 6267,8475 is 3
LCM of denominators i.e. for 697,6719 is 4683143.
Thus, GCF of Fractions is 3/4683143.Finally, GCF of Fractions for 6267/697, 8475/6719 is 3/4683143.