GCF of 2426/298, 7041/2625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2426/298, 7041/2625 i.e 1/782250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2426/298, 7041/2625.
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 2426/298,7041/2625?
Given fractions are 2426/298,7041/2625
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 2426/298,7041/2625, numerators are 2426,7041
Denominators are 298,2625
The GCF of 2426,7041 is 1 .
LCM of 298,2625 is 782250.
The greatest common factor of 2426/298,7041/2625 = [GCF of 2426,7041]/[LCM of 298,2625]= 1/782250
Therefore, the GCF of 2426/298,7041/2625 is 1/782250.
To find the highest common factor of 2426,7041, we have to find the factors of both numbers and list the highest common factor.
The factors of 2426 are 1, 2, 1213, 2426
The factors of 7041 are 1, 3, 2347, 7041
The HCF of 2426,7041 is 1.
Lets's calculate GCF of 2426,7041
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2426,7041 By Matching Biggest Common Factor Method
Now, list down the factors of 2426
:1,2,1213,2426
Now, list down the factors of 7041
:1,3,2347,7041
Greatest Common Factor
We found the factors 2426,7041 . The biggest common factor number is the GCF number.
So the greatest common factor 2426,7041 is 1.
Lets's calculate LCM of 298,2625
Given numbers has no common factors except 1. So, there LCM is their product i.e 782250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/782250
Therefore, the GCF of Fractions 2426/298,7041/2625 is 1/782250
Least Common Multiple of 298,2625 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 298,2625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,2625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,2625) x common factors =1 x 1 = 1
LCM(298,2625) = ( 298 × 2625 ) / 1
LCM(298,2625) = 782250 / 1
LCM(298,2625) = 782250
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FAQs on GCF of Fractions of 2426/298, 7041/2625
1. What is the HCF of 2426,7041?
The HCF of 2426,7041 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 2426/298, 7041/2625?
Answer: GCF of Numerators as per given numbers 2426/298, 7041/2625 is
GCF of Numerators i.e. for 2426,7041 is 1
LCM of denominators i.e. for 298,2625 is 782250.
Thus, GCF of Fractions is 1/782250.Finally, GCF of Fractions for 2426/298, 7041/2625 is 1/782250.