GCF of 2025/761, 7642/6565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2025/761, 7642/6565 i.e 1/4995965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2025/761, 7642/6565.
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 2025/761,7642/6565?
Given fractions are 2025/761,7642/6565
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 2025/761,7642/6565, numerators are 2025,7642
Denominators are 761,6565
The GCF of 2025,7642 is 1 .
LCM of 761,6565 is 4995965.
The greatest common factor of 2025/761,7642/6565 = [GCF of 2025,7642]/[LCM of 761,6565]= 1/4995965
Therefore, the GCF of 2025/761,7642/6565 is 1/4995965.
To find the highest common factor of 2025,7642, we have to find the factors of both numbers and list the highest common factor.
The factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025
The factors of 7642 are 1, 2, 3821, 7642
The HCF of 2025,7642 is 1.
Lets's calculate GCF of 2025,7642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2025,7642 By Matching Biggest Common Factor Method
Now, list down the factors of 2025
:1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025
Now, list down the factors of 7642
:1,2,3821,7642
Greatest Common Factor
We found the factors 2025,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 2025,7642 is 1.
Lets's calculate LCM of 761,6565
Given numbers has no common factors except 1. So, there LCM is their product i.e 4995965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4995965
Therefore, the GCF of Fractions 2025/761,7642/6565 is 1/4995965
Least Common Multiple of 761,6565 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 761,6565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,6565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,6565) x common factors =1 x 1 = 1
LCM(761,6565) = ( 761 × 6565 ) / 1
LCM(761,6565) = 4995965 / 1
LCM(761,6565) = 4995965
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FAQs on GCF of Fractions of 2025/761, 7642/6565
1. What is the HCF of 2025,7642?
The HCF of 2025,7642 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 2025/761, 7642/6565?
Answer: GCF of Numerators as per given numbers 2025/761, 7642/6565 is
GCF of Numerators i.e. for 2025,7642 is 1
LCM of denominators i.e. for 761,6565 is 4995965.
Thus, GCF of Fractions is 1/4995965.Finally, GCF of Fractions for 2025/761, 7642/6565 is 1/4995965.