GCF of 8843/298, 7670/2529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8843/298, 7670/2529 i.e 1/753642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8843/298, 7670/2529.
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 8843/298,7670/2529?
Given fractions are 8843/298,7670/2529
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 8843/298,7670/2529, numerators are 8843,7670
Denominators are 298,2529
The GCF of 8843,7670 is 1 .
LCM of 298,2529 is 753642.
The greatest common factor of 8843/298,7670/2529 = [GCF of 8843,7670]/[LCM of 298,2529]= 1/753642
Therefore, the GCF of 8843/298,7670/2529 is 1/753642.
To find the highest common factor of 8843,7670, we have to find the factors of both numbers and list the highest common factor.
The factors of 8843 are 1, 37, 239, 8843
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The HCF of 8843,7670 is 1.
Lets's calculate GCF of 8843,7670
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8843,7670 By Matching Biggest Common Factor Method
Now, list down the factors of 8843
:1,37,239,8843
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors 8843,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 8843,7670 is 1.
Lets's calculate LCM of 298,2529
Given numbers has no common factors except 1. So, there LCM is their product i.e 753642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753642
Therefore, the GCF of Fractions 8843/298,7670/2529 is 1/753642
Least Common Multiple of 298,2529 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 298,2529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,2529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,2529) x common factors =1 x 1 = 1
LCM(298,2529) = ( 298 × 2529 ) / 1
LCM(298,2529) = 753642 / 1
LCM(298,2529) = 753642
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FAQs on GCF of Fractions of 8843/298, 7670/2529
1. What is the HCF of 8843,7670?
The HCF of 8843,7670 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 8843/298, 7670/2529?
Answer: GCF of Numerators as per given numbers 8843/298, 7670/2529 is
GCF of Numerators i.e. for 8843,7670 is 1
LCM of denominators i.e. for 298,2529 is 753642.
Thus, GCF of Fractions is 1/753642.Finally, GCF of Fractions for 8843/298, 7670/2529 is 1/753642.