GCF of 9249/182, 2264/577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9249/182, 2264/577 i.e 1/105014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9249/182, 2264/577.
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 9249/182,2264/577?
Given fractions are 9249/182,2264/577
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 9249/182,2264/577, numerators are 9249,2264
Denominators are 182,577
The GCF of 9249,2264 is 1 .
LCM of 182,577 is 105014.
The greatest common factor of 9249/182,2264/577 = [GCF of 9249,2264]/[LCM of 182,577]= 1/105014
Therefore, the GCF of 9249/182,2264/577 is 1/105014.
To find the highest common factor of 9249,2264, we have to find the factors of both numbers and list the highest common factor.
The factors of 9249 are 1, 3, 3083, 9249
The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264
The HCF of 9249,2264 is 1.
Lets's calculate GCF of 9249,2264
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9249,2264 By Matching Biggest Common Factor Method
Now, list down the factors of 9249
:1,3,3083,9249
Now, list down the factors of 2264
:1,2,4,8,283,566,1132,2264
Greatest Common Factor
We found the factors 9249,2264 . The biggest common factor number is the GCF number.
So the greatest common factor 9249,2264 is 1.
Lets's calculate LCM of 182,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 105014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105014
Therefore, the GCF of Fractions 9249/182,2264/577 is 1/105014
Least Common Multiple of 182,577 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 182,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,577) x common factors =1 x 1 = 1
LCM(182,577) = ( 182 × 577 ) / 1
LCM(182,577) = 105014 / 1
LCM(182,577) = 105014
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FAQs on GCF of Fractions of 9249/182, 2264/577
1. What is the HCF of 9249,2264?
The HCF of 9249,2264 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 9249/182, 2264/577?
Answer: GCF of Numerators as per given numbers 9249/182, 2264/577 is
GCF of Numerators i.e. for 9249,2264 is 1
LCM of denominators i.e. for 182,577 is 105014.
Thus, GCF of Fractions is 1/105014.Finally, GCF of Fractions for 9249/182, 2264/577 is 1/105014.