GCF of 7249/446, 1161/8436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7249/446, 1161/8436 i.e 1/1881228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7249/446, 1161/8436.
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 7249/446,1161/8436?
Given fractions are 7249/446,1161/8436
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 7249/446,1161/8436, numerators are 7249,1161
Denominators are 446,8436
The GCF of 7249,1161 is 1 .
LCM of 446,8436 is 1881228.
The greatest common factor of 7249/446,1161/8436 = [GCF of 7249,1161]/[LCM of 446,8436]= 1/1881228
Therefore, the GCF of 7249/446,1161/8436 is 1/1881228.
To find the highest common factor of 7249,1161, 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 1161 are 1, 3, 9, 27, 43, 129, 387, 1161
The HCF of 7249,1161 is 1.
Lets's calculate GCF of 7249,1161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7249,1161 By Matching Biggest Common Factor Method
Now, list down the factors of 7249
:1,11,659,7249
Now, list down the factors of 1161
:1,3,9,27,43,129,387,1161
Greatest Common Factor
We found the factors 7249,1161 . The biggest common factor number is the GCF number.
So the greatest common factor 7249,1161 is 1.
Lets's calculate LCM of 446,8436
| 2 | 446, 8436 |
| 223, 4218 |
∴ So the LCM of the given numbers is 2 x 223 x 4218 = 1881228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1881228
Therefore, the GCF of Fractions 7249/446,1161/8436 is 1/1881228
Least Common Multiple of 446,8436 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 446,8436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,8436) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,8436) x common factors =2 x 1 = 2
LCM(446,8436) = ( 446 × 8436 ) / 2
LCM(446,8436) = 3762456 / 2
LCM(446,8436) = 1881228
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FAQs on GCF of Fractions of 7249/446, 1161/8436
1. What is the HCF of 7249,1161?
The HCF of 7249,1161 is 1
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 7249/446, 1161/8436?
Answer: GCF of Numerators as per given numbers 7249/446, 1161/8436 is
GCF of Numerators i.e. for 7249,1161 is 1
LCM of denominators i.e. for 446,8436 is 1881228.
Thus, GCF of Fractions is 1/1881228.Finally, GCF of Fractions for 7249/446, 1161/8436 is 1/1881228.