GCF of 9229/652, 2563/1534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9229/652, 2563/1534 i.e 11/500084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9229/652, 2563/1534.
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 9229/652,2563/1534?
Given fractions are 9229/652,2563/1534
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 9229/652,2563/1534, numerators are 9229,2563
Denominators are 652,1534
The GCF of 9229,2563 is 11 .
LCM of 652,1534 is 500084.
The greatest common factor of 9229/652,2563/1534 = [GCF of 9229,2563]/[LCM of 652,1534]= 11/500084
Therefore, the GCF of 9229/652,2563/1534 is 11/500084.
To find the highest common factor of 9229,2563, we have to find the factors of both numbers and list the highest common factor.
The factors of 9229 are 1, 11, 839, 9229
The factors of 2563 are 1, 11, 233, 2563
The HCF of 9229,2563 is 11.
Lets's calculate GCF of 9229,2563
| 11 | 9229, 2563 |
| 839, 233 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9229,2563 By Matching Biggest Common Factor Method
Now, list down the factors of 9229
:1,11,839,9229
Now, list down the factors of 2563
:1,11,233,2563
Greatest Common Factor
We found the factors 9229,2563 . The biggest common factor number is the GCF number.
So the greatest common factor 9229,2563 is 11.
Lets's calculate LCM of 652,1534
| 2 | 652, 1534 |
| 326, 767 |
∴ So the LCM of the given numbers is 2 x 326 x 767 = 500084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/500084
Therefore, the GCF of Fractions 9229/652,2563/1534 is 11/500084
Least Common Multiple of 652,1534 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 652,1534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,1534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,1534) x common factors =2 x 1 = 2
LCM(652,1534) = ( 652 × 1534 ) / 2
LCM(652,1534) = 1000168 / 2
LCM(652,1534) = 500084
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FAQs on GCF of Fractions of 9229/652, 2563/1534
1. What is the HCF of 9229,2563?
The HCF of 9229,2563 is 11
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 9229/652, 2563/1534?
Answer: GCF of Numerators as per given numbers 9229/652, 2563/1534 is
GCF of Numerators i.e. for 9229,2563 is 11
LCM of denominators i.e. for 652,1534 is 500084.
Thus, GCF of Fractions is 11/500084.Finally, GCF of Fractions for 9229/652, 2563/1534 is 11/500084.