GCF of 6019/719, 5338/7316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6019/719, 5338/7316 i.e 1/5260204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6019/719, 5338/7316.
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 6019/719,5338/7316?
Given fractions are 6019/719,5338/7316
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 6019/719,5338/7316, numerators are 6019,5338
Denominators are 719,7316
The GCF of 6019,5338 is 1 .
LCM of 719,7316 is 5260204.
The greatest common factor of 6019/719,5338/7316 = [GCF of 6019,5338]/[LCM of 719,7316]= 1/5260204
Therefore, the GCF of 6019/719,5338/7316 is 1/5260204.
To find the highest common factor of 6019,5338, we have to find the factors of both numbers and list the highest common factor.
The factors of 6019 are 1, 13, 463, 6019
The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338
The HCF of 6019,5338 is 1.
Lets's calculate GCF of 6019,5338
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6019,5338 By Matching Biggest Common Factor Method
Now, list down the factors of 6019
:1,13,463,6019
Now, list down the factors of 5338
:1,2,17,34,157,314,2669,5338
Greatest Common Factor
We found the factors 6019,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 6019,5338 is 1.
Lets's calculate LCM of 719,7316
Given numbers has no common factors except 1. So, there LCM is their product i.e 5260204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5260204
Therefore, the GCF of Fractions 6019/719,5338/7316 is 1/5260204
Least Common Multiple of 719,7316 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 719,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,7316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,7316) x common factors =1 x 1 = 1
LCM(719,7316) = ( 719 × 7316 ) / 1
LCM(719,7316) = 5260204 / 1
LCM(719,7316) = 5260204
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6019/719, 5338/7316
1. What is the HCF of 6019,5338?
The HCF of 6019,5338 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 6019/719, 5338/7316?
Answer: GCF of Numerators as per given numbers 6019/719, 5338/7316 is
GCF of Numerators i.e. for 6019,5338 is 1
LCM of denominators i.e. for 719,7316 is 5260204.
Thus, GCF of Fractions is 1/5260204.Finally, GCF of Fractions for 6019/719, 5338/7316 is 1/5260204.