GCF of 7209/867, 6853/5075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7209/867, 6853/5075 i.e 89/4400025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7209/867, 6853/5075.
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 7209/867,6853/5075?
Given fractions are 7209/867,6853/5075
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 7209/867,6853/5075, numerators are 7209,6853
Denominators are 867,5075
The GCF of 7209,6853 is 89 .
LCM of 867,5075 is 4400025.
The greatest common factor of 7209/867,6853/5075 = [GCF of 7209,6853]/[LCM of 867,5075]= 89/4400025
Therefore, the GCF of 7209/867,6853/5075 is 89/4400025.
To find the highest common factor of 7209,6853, we have to find the factors of both numbers and list the highest common factor.
The factors of 7209 are 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209
The factors of 6853 are 1, 7, 11, 77, 89, 623, 979, 6853
The HCF of 7209,6853 is 89.
Lets's calculate GCF of 7209,6853
| 89 | 7209, 6853 |
| 81, 77 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 7209,6853 By Matching Biggest Common Factor Method
Now, list down the factors of 7209
:1,3,9,27,81,89,267,801,2403,7209
Now, list down the factors of 6853
:1,7,11,77,89,623,979,6853
Greatest Common Factor
We found the factors 7209,6853 . The biggest common factor number is the GCF number.
So the greatest common factor 7209,6853 is 89.
Lets's calculate LCM of 867,5075
Given numbers has no common factors except 1. So, there LCM is their product i.e 4400025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/4400025
Therefore, the GCF of Fractions 7209/867,6853/5075 is 89/4400025
Least Common Multiple of 867,5075 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 867,5075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,5075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,5075) x common factors =1 x 1 = 1
LCM(867,5075) = ( 867 × 5075 ) / 1
LCM(867,5075) = 4400025 / 1
LCM(867,5075) = 4400025
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FAQs on GCF of Fractions of 7209/867, 6853/5075
1. What is the HCF of 7209,6853?
The HCF of 7209,6853 is 89
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 7209/867, 6853/5075?
Answer: GCF of Numerators as per given numbers 7209/867, 6853/5075 is
GCF of Numerators i.e. for 7209,6853 is 89
LCM of denominators i.e. for 867,5075 is 4400025.
Thus, GCF of Fractions is 89/4400025.Finally, GCF of Fractions for 7209/867, 6853/5075 is 89/4400025.