GCF of 2252/192, 9423/7645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2252/192, 9423/7645 i.e 1/1467840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2252/192, 9423/7645.
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 2252/192,9423/7645?
Given fractions are 2252/192,9423/7645
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 2252/192,9423/7645, numerators are 2252,9423
Denominators are 192,7645
The GCF of 2252,9423 is 1 .
LCM of 192,7645 is 1467840.
The greatest common factor of 2252/192,9423/7645 = [GCF of 2252,9423]/[LCM of 192,7645]= 1/1467840
Therefore, the GCF of 2252/192,9423/7645 is 1/1467840.
To find the highest common factor of 2252,9423, we have to find the factors of both numbers and list the highest common factor.
The factors of 2252 are 1, 2, 4, 563, 1126, 2252
The factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423
The HCF of 2252,9423 is 1.
Lets's calculate GCF of 2252,9423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2252,9423 By Matching Biggest Common Factor Method
Now, list down the factors of 2252
:1,2,4,563,1126,2252
Now, list down the factors of 9423
:1,3,9,27,349,1047,3141,9423
Greatest Common Factor
We found the factors 2252,9423 . The biggest common factor number is the GCF number.
So the greatest common factor 2252,9423 is 1.
Lets's calculate LCM of 192,7645
Given numbers has no common factors except 1. So, there LCM is their product i.e 1467840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1467840
Therefore, the GCF of Fractions 2252/192,9423/7645 is 1/1467840
Least Common Multiple of 192,7645 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 192,7645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,7645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,7645) x common factors =1 x 1 = 1
LCM(192,7645) = ( 192 × 7645 ) / 1
LCM(192,7645) = 1467840 / 1
LCM(192,7645) = 1467840
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FAQs on GCF of Fractions of 2252/192, 9423/7645
1. What is the HCF of 2252,9423?
The HCF of 2252,9423 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 2252/192, 9423/7645?
Answer: GCF of Numerators as per given numbers 2252/192, 9423/7645 is
GCF of Numerators i.e. for 2252,9423 is 1
LCM of denominators i.e. for 192,7645 is 1467840.
Thus, GCF of Fractions is 1/1467840.Finally, GCF of Fractions for 2252/192, 9423/7645 is 1/1467840.