GCF of 1089/224, 7249/2484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1089/224, 7249/2484 i.e 11/139104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1089/224, 7249/2484.
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 1089/224,7249/2484?
Given fractions are 1089/224,7249/2484
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 1089/224,7249/2484, numerators are 1089,7249
Denominators are 224,2484
The GCF of 1089,7249 is 11 .
LCM of 224,2484 is 139104.
The greatest common factor of 1089/224,7249/2484 = [GCF of 1089,7249]/[LCM of 224,2484]= 11/139104
Therefore, the GCF of 1089/224,7249/2484 is 11/139104.
To find the highest common factor of 1089,7249, we have to find the factors of both numbers and list the highest common factor.
The factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089
The factors of 7249 are 1, 11, 659, 7249
The HCF of 1089,7249 is 11.
Lets's calculate GCF of 1089,7249
| 11 | 1089, 7249 |
| 99, 659 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1089,7249 By Matching Biggest Common Factor Method
Now, list down the factors of 1089
:1,3,9,11,33,99,121,363,1089
Now, list down the factors of 7249
:1,11,659,7249
Greatest Common Factor
We found the factors 1089,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 1089,7249 is 11.
Lets's calculate LCM of 224,2484
| 2 | 224, 2484 |
| 2 | 112, 1242 |
| 56, 621 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 621 = 139104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/139104
Therefore, the GCF of Fractions 1089/224,7249/2484 is 11/139104
Least Common Multiple of 224,2484 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 224,2484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,2484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(224,2484) x common factors =4 x 1 = 4
LCM(224,2484) = ( 224 × 2484 ) / 4
LCM(224,2484) = 556416 / 4
LCM(224,2484) = 139104
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FAQs on GCF of Fractions of 1089/224, 7249/2484
1. What is the HCF of 1089,7249?
The HCF of 1089,7249 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 1089/224, 7249/2484?
Answer: GCF of Numerators as per given numbers 1089/224, 7249/2484 is
GCF of Numerators i.e. for 1089,7249 is 11
LCM of denominators i.e. for 224,2484 is 139104.
Thus, GCF of Fractions is 11/139104.Finally, GCF of Fractions for 1089/224, 7249/2484 is 11/139104.