GCF of 7519/807, 3104/590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7519/807, 3104/590 i.e 1/476130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7519/807, 3104/590.
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 7519/807,3104/590?
Given fractions are 7519/807,3104/590
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 7519/807,3104/590, numerators are 7519,3104
Denominators are 807,590
The GCF of 7519,3104 is 1 .
LCM of 807,590 is 476130.
The greatest common factor of 7519/807,3104/590 = [GCF of 7519,3104]/[LCM of 807,590]= 1/476130
Therefore, the GCF of 7519/807,3104/590 is 1/476130.
To find the highest common factor of 7519,3104, we have to find the factors of both numbers and list the highest common factor.
The factors of 7519 are 1, 73, 103, 7519
The factors of 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104
The HCF of 7519,3104 is 1.
Lets's calculate GCF of 7519,3104
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7519,3104 By Matching Biggest Common Factor Method
Now, list down the factors of 7519
:1,73,103,7519
Now, list down the factors of 3104
:1,2,4,8,16,32,97,194,388,776,1552,3104
Greatest Common Factor
We found the factors 7519,3104 . The biggest common factor number is the GCF number.
So the greatest common factor 7519,3104 is 1.
Lets's calculate LCM of 807,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 476130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476130
Therefore, the GCF of Fractions 7519/807,3104/590 is 1/476130
Least Common Multiple of 807,590 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 807,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,590) x common factors =1 x 1 = 1
LCM(807,590) = ( 807 × 590 ) / 1
LCM(807,590) = 476130 / 1
LCM(807,590) = 476130
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FAQs on GCF of Fractions of 7519/807, 3104/590
1. What is the HCF of 7519,3104?
The HCF of 7519,3104 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 7519/807, 3104/590?
Answer: GCF of Numerators as per given numbers 7519/807, 3104/590 is
GCF of Numerators i.e. for 7519,3104 is 1
LCM of denominators i.e. for 807,590 is 476130.
Thus, GCF of Fractions is 1/476130.Finally, GCF of Fractions for 7519/807, 3104/590 is 1/476130.