GCF of 4425/299, 8492/5648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4425/299, 8492/5648 i.e 1/1688752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4425/299, 8492/5648.
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 4425/299,8492/5648?
Given fractions are 4425/299,8492/5648
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 4425/299,8492/5648, numerators are 4425,8492
Denominators are 299,5648
The GCF of 4425,8492 is 1 .
LCM of 299,5648 is 1688752.
The greatest common factor of 4425/299,8492/5648 = [GCF of 4425,8492]/[LCM of 299,5648]= 1/1688752
Therefore, the GCF of 4425/299,8492/5648 is 1/1688752.
To find the highest common factor of 4425,8492, we have to find the factors of both numbers and list the highest common factor.
The factors of 4425 are 1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425
The factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492
The HCF of 4425,8492 is 1.
Lets's calculate GCF of 4425,8492
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4425,8492 By Matching Biggest Common Factor Method
Now, list down the factors of 4425
:1,3,5,15,25,59,75,177,295,885,1475,4425
Now, list down the factors of 8492
:1,2,4,11,22,44,193,386,772,2123,4246,8492
Greatest Common Factor
We found the factors 4425,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 4425,8492 is 1.
Lets's calculate LCM of 299,5648
Given numbers has no common factors except 1. So, there LCM is their product i.e 1688752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1688752
Therefore, the GCF of Fractions 4425/299,8492/5648 is 1/1688752
Least Common Multiple of 299,5648 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 299,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,5648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,5648) x common factors =1 x 1 = 1
LCM(299,5648) = ( 299 × 5648 ) / 1
LCM(299,5648) = 1688752 / 1
LCM(299,5648) = 1688752
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FAQs on GCF of Fractions of 4425/299, 8492/5648
1. What is the HCF of 4425,8492?
The HCF of 4425,8492 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 4425/299, 8492/5648?
Answer: GCF of Numerators as per given numbers 4425/299, 8492/5648 is
GCF of Numerators i.e. for 4425,8492 is 1
LCM of denominators i.e. for 299,5648 is 1688752.
Thus, GCF of Fractions is 1/1688752.Finally, GCF of Fractions for 4425/299, 8492/5648 is 1/1688752.