GCF of 9268/148, 5407/383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9268/148, 5407/383 i.e 1/56684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9268/148, 5407/383.
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 9268/148,5407/383?
Given fractions are 9268/148,5407/383
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 9268/148,5407/383, numerators are 9268,5407
Denominators are 148,383
The GCF of 9268,5407 is 1 .
LCM of 148,383 is 56684.
The greatest common factor of 9268/148,5407/383 = [GCF of 9268,5407]/[LCM of 148,383]= 1/56684
Therefore, the GCF of 9268/148,5407/383 is 1/56684.
To find the highest common factor of 9268,5407, we have to find the factors of both numbers and list the highest common factor.
The factors of 9268 are 1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268
The factors of 5407 are 1, 5407
The HCF of 9268,5407 is 1.
Lets's calculate GCF of 9268,5407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9268,5407 By Matching Biggest Common Factor Method
Now, list down the factors of 9268
:1,2,4,7,14,28,331,662,1324,2317,4634,9268
Now, list down the factors of 5407
:1,5407
Greatest Common Factor
We found the factors 9268,5407 . The biggest common factor number is the GCF number.
So the greatest common factor 9268,5407 is 1.
Lets's calculate LCM of 148,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 56684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56684
Therefore, the GCF of Fractions 9268/148,5407/383 is 1/56684
Least Common Multiple of 148,383 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 148,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,383) x common factors =1 x 1 = 1
LCM(148,383) = ( 148 × 383 ) / 1
LCM(148,383) = 56684 / 1
LCM(148,383) = 56684
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FAQs on GCF of Fractions of 9268/148, 5407/383
1. What is the HCF of 9268,5407?
The HCF of 9268,5407 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 9268/148, 5407/383?
Answer: GCF of Numerators as per given numbers 9268/148, 5407/383 is
GCF of Numerators i.e. for 9268,5407 is 1
LCM of denominators i.e. for 148,383 is 56684.
Thus, GCF of Fractions is 1/56684.Finally, GCF of Fractions for 9268/148, 5407/383 is 1/56684.