GCF of 2523/564, 9309/3787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2523/564, 9309/3787 i.e 87/2135868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2523/564, 9309/3787.
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 2523/564,9309/3787?
Given fractions are 2523/564,9309/3787
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 2523/564,9309/3787, numerators are 2523,9309
Denominators are 564,3787
The GCF of 2523,9309 is 87 .
LCM of 564,3787 is 2135868.
The greatest common factor of 2523/564,9309/3787 = [GCF of 2523,9309]/[LCM of 564,3787]= 87/2135868
Therefore, the GCF of 2523/564,9309/3787 is 87/2135868.
To find the highest common factor of 2523,9309, we have to find the factors of both numbers and list the highest common factor.
The factors of 2523 are 1, 3, 29, 87, 841, 2523
The factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309
The HCF of 2523,9309 is 87.
Lets's calculate GCF of 2523,9309
| 3 | 2523, 9309 |
| 29 | 841, 3103 |
| 29, 107 |
∴ So the GCF of the given numbers is 3 x 29 = 87
Greatest Common Factor of 2523,9309 By Matching Biggest Common Factor Method
Now, list down the factors of 2523
:1,3,29,87,841,2523
Now, list down the factors of 9309
:1,3,29,87,107,321,3103,9309
Greatest Common Factor
We found the factors 2523,9309 . The biggest common factor number is the GCF number.
So the greatest common factor 2523,9309 is 87.
Lets's calculate LCM of 564,3787
Given numbers has no common factors except 1. So, there LCM is their product i.e 2135868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 87/2135868
Therefore, the GCF of Fractions 2523/564,9309/3787 is 87/2135868
Least Common Multiple of 564,3787 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 564,3787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,3787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,3787) x common factors =1 x 1 = 1
LCM(564,3787) = ( 564 × 3787 ) / 1
LCM(564,3787) = 2135868 / 1
LCM(564,3787) = 2135868
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FAQs on GCF of Fractions of 2523/564, 9309/3787
1. What is the HCF of 2523,9309?
The HCF of 2523,9309 is 87
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 2523/564, 9309/3787?
Answer: GCF of Numerators as per given numbers 2523/564, 9309/3787 is
GCF of Numerators i.e. for 2523,9309 is 87
LCM of denominators i.e. for 564,3787 is 2135868.
Thus, GCF of Fractions is 87/2135868.Finally, GCF of Fractions for 2523/564, 9309/3787 is 87/2135868.