GCF of 7619/241, 9128/7274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7619/241, 9128/7274 i.e 1/1753034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7619/241, 9128/7274.
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 7619/241,9128/7274?
Given fractions are 7619/241,9128/7274
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 7619/241,9128/7274, numerators are 7619,9128
Denominators are 241,7274
The GCF of 7619,9128 is 1 .
LCM of 241,7274 is 1753034.
The greatest common factor of 7619/241,9128/7274 = [GCF of 7619,9128]/[LCM of 241,7274]= 1/1753034
Therefore, the GCF of 7619/241,9128/7274 is 1/1753034.
To find the highest common factor of 7619,9128, we have to find the factors of both numbers and list the highest common factor.
The factors of 7619 are 1, 19, 401, 7619
The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
The HCF of 7619,9128 is 1.
Lets's calculate GCF of 7619,9128
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7619,9128 By Matching Biggest Common Factor Method
Now, list down the factors of 7619
:1,19,401,7619
Now, list down the factors of 9128
:1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
Greatest Common Factor
We found the factors 7619,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 7619,9128 is 1.
Lets's calculate LCM of 241,7274
Given numbers has no common factors except 1. So, there LCM is their product i.e 1753034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1753034
Therefore, the GCF of Fractions 7619/241,9128/7274 is 1/1753034
Least Common Multiple of 241,7274 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 241,7274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,7274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,7274) x common factors =1 x 1 = 1
LCM(241,7274) = ( 241 × 7274 ) / 1
LCM(241,7274) = 1753034 / 1
LCM(241,7274) = 1753034
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FAQs on GCF of Fractions of 7619/241, 9128/7274
1. What is the HCF of 7619,9128?
The HCF of 7619,9128 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 7619/241, 9128/7274?
Answer: GCF of Numerators as per given numbers 7619/241, 9128/7274 is
GCF of Numerators i.e. for 7619,9128 is 1
LCM of denominators i.e. for 241,7274 is 1753034.
Thus, GCF of Fractions is 1/1753034.Finally, GCF of Fractions for 7619/241, 9128/7274 is 1/1753034.