GCF of 8617/145, 7429/5267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8617/145, 7429/5267 i.e 1/763715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8617/145, 7429/5267.
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 8617/145,7429/5267?
Given fractions are 8617/145,7429/5267
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 8617/145,7429/5267, numerators are 8617,7429
Denominators are 145,5267
The GCF of 8617,7429 is 1 .
LCM of 145,5267 is 763715.
The greatest common factor of 8617/145,7429/5267 = [GCF of 8617,7429]/[LCM of 145,5267]= 1/763715
Therefore, the GCF of 8617/145,7429/5267 is 1/763715.
To find the highest common factor of 8617,7429, we have to find the factors of both numbers and list the highest common factor.
The factors of 8617 are 1, 7, 1231, 8617
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429
The HCF of 8617,7429 is 1.
Lets's calculate GCF of 8617,7429
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8617,7429 By Matching Biggest Common Factor Method
Now, list down the factors of 8617
:1,7,1231,8617
Now, list down the factors of 7429
:1,17,19,23,323,391,437,7429
Greatest Common Factor
We found the factors 8617,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 8617,7429 is 1.
Lets's calculate LCM of 145,5267
Given numbers has no common factors except 1. So, there LCM is their product i.e 763715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/763715
Therefore, the GCF of Fractions 8617/145,7429/5267 is 1/763715
Least Common Multiple of 145,5267 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 145,5267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,5267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,5267) x common factors =1 x 1 = 1
LCM(145,5267) = ( 145 × 5267 ) / 1
LCM(145,5267) = 763715 / 1
LCM(145,5267) = 763715
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FAQs on GCF of Fractions of 8617/145, 7429/5267
1. What is the HCF of 8617,7429?
The HCF of 8617,7429 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 8617/145, 7429/5267?
Answer: GCF of Numerators as per given numbers 8617/145, 7429/5267 is
GCF of Numerators i.e. for 8617,7429 is 1
LCM of denominators i.e. for 145,5267 is 763715.
Thus, GCF of Fractions is 1/763715.Finally, GCF of Fractions for 8617/145, 7429/5267 is 1/763715.