GCF of 7589/251, 3806/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7589/251, 3806/910 i.e 1/228410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7589/251, 3806/910.
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 7589/251,3806/910?
Given fractions are 7589/251,3806/910
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 7589/251,3806/910, numerators are 7589,3806
Denominators are 251,910
The GCF of 7589,3806 is 1 .
LCM of 251,910 is 228410.
The greatest common factor of 7589/251,3806/910 = [GCF of 7589,3806]/[LCM of 251,910]= 1/228410
Therefore, the GCF of 7589/251,3806/910 is 1/228410.
To find the highest common factor of 7589,3806, we have to find the factors of both numbers and list the highest common factor.
The factors of 7589 are 1, 7589
The factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806
The HCF of 7589,3806 is 1.
Lets's calculate GCF of 7589,3806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7589,3806 By Matching Biggest Common Factor Method
Now, list down the factors of 7589
:1,7589
Now, list down the factors of 3806
:1,2,11,22,173,346,1903,3806
Greatest Common Factor
We found the factors 7589,3806 . The biggest common factor number is the GCF number.
So the greatest common factor 7589,3806 is 1.
Lets's calculate LCM of 251,910
Given numbers has no common factors except 1. So, there LCM is their product i.e 228410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228410
Therefore, the GCF of Fractions 7589/251,3806/910 is 1/228410
Least Common Multiple of 251,910 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 251,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,910) x common factors =1 x 1 = 1
LCM(251,910) = ( 251 × 910 ) / 1
LCM(251,910) = 228410 / 1
LCM(251,910) = 228410
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FAQs on GCF of Fractions of 7589/251, 3806/910
1. What is the HCF of 7589,3806?
The HCF of 7589,3806 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 7589/251, 3806/910?
Answer: GCF of Numerators as per given numbers 7589/251, 3806/910 is
GCF of Numerators i.e. for 7589,3806 is 1
LCM of denominators i.e. for 251,910 is 228410.
Thus, GCF of Fractions is 1/228410.Finally, GCF of Fractions for 7589/251, 3806/910 is 1/228410.