GCF of 7249/930, 5445/4025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7249/930, 5445/4025 i.e 11/748650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7249/930, 5445/4025.
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 7249/930,5445/4025?
Given fractions are 7249/930,5445/4025
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 7249/930,5445/4025, numerators are 7249,5445
Denominators are 930,4025
The GCF of 7249,5445 is 11 .
LCM of 930,4025 is 748650.
The greatest common factor of 7249/930,5445/4025 = [GCF of 7249,5445]/[LCM of 930,4025]= 11/748650
Therefore, the GCF of 7249/930,5445/4025 is 11/748650.
To find the highest common factor of 7249,5445, we have to find the factors of both numbers and list the highest common factor.
The factors of 7249 are 1, 11, 659, 7249
The factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445
The HCF of 7249,5445 is 11.
Lets's calculate GCF of 7249,5445
| 11 | 7249, 5445 |
| 659, 495 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7249,5445 By Matching Biggest Common Factor Method
Now, list down the factors of 7249
:1,11,659,7249
Now, list down the factors of 5445
:1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
Greatest Common Factor
We found the factors 7249,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 7249,5445 is 11.
Lets's calculate LCM of 930,4025
| 5 | 930, 4025 |
| 186, 805 |
∴ So the LCM of the given numbers is 5 x 186 x 805 = 748650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/748650
Therefore, the GCF of Fractions 7249/930,5445/4025 is 11/748650
Least Common Multiple of 930,4025 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 930,4025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,4025) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(930,4025) x common factors =5 x 1 = 5
LCM(930,4025) = ( 930 × 4025 ) / 5
LCM(930,4025) = 3743250 / 5
LCM(930,4025) = 748650
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FAQs on GCF of Fractions of 7249/930, 5445/4025
1. What is the HCF of 7249,5445?
The HCF of 7249,5445 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 7249/930, 5445/4025?
Answer: GCF of Numerators as per given numbers 7249/930, 5445/4025 is
GCF of Numerators i.e. for 7249,5445 is 11
LCM of denominators i.e. for 930,4025 is 748650.
Thus, GCF of Fractions is 11/748650.Finally, GCF of Fractions for 7249/930, 5445/4025 is 11/748650.