GCF of 9219/527, 1309/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9219/527, 1309/841 i.e 7/443207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9219/527, 1309/841.
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 9219/527,1309/841?
Given fractions are 9219/527,1309/841
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 9219/527,1309/841, numerators are 9219,1309
Denominators are 527,841
The GCF of 9219,1309 is 7 .
LCM of 527,841 is 443207.
The greatest common factor of 9219/527,1309/841 = [GCF of 9219,1309]/[LCM of 527,841]= 7/443207
Therefore, the GCF of 9219/527,1309/841 is 7/443207.
To find the highest common factor of 9219,1309, we have to find the factors of both numbers and list the highest common factor.
The factors of 9219 are 1, 3, 7, 21, 439, 1317, 3073, 9219
The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309
The HCF of 9219,1309 is 7.
Lets's calculate GCF of 9219,1309
| 7 | 9219, 1309 |
| 1317, 187 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9219,1309 By Matching Biggest Common Factor Method
Now, list down the factors of 9219
:1,3,7,21,439,1317,3073,9219
Now, list down the factors of 1309
:1,7,11,17,77,119,187,1309
Greatest Common Factor
We found the factors 9219,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 9219,1309 is 7.
Lets's calculate LCM of 527,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 443207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/443207
Therefore, the GCF of Fractions 9219/527,1309/841 is 7/443207
Least Common Multiple of 527,841 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 527,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,841) x common factors =1 x 1 = 1
LCM(527,841) = ( 527 × 841 ) / 1
LCM(527,841) = 443207 / 1
LCM(527,841) = 443207
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FAQs on GCF of Fractions of 9219/527, 1309/841
1. What is the HCF of 9219,1309?
The HCF of 9219,1309 is 7
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 9219/527, 1309/841?
Answer: GCF of Numerators as per given numbers 9219/527, 1309/841 is
GCF of Numerators i.e. for 9219,1309 is 7
LCM of denominators i.e. for 527,841 is 443207.
Thus, GCF of Fractions is 7/443207.Finally, GCF of Fractions for 9219/527, 1309/841 is 7/443207.