GCF of 6034/552, 4309/6649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6034/552, 4309/6649 i.e 1/3670248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6034/552, 4309/6649.
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 6034/552,4309/6649?
Given fractions are 6034/552,4309/6649
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 6034/552,4309/6649, numerators are 6034,4309
Denominators are 552,6649
The GCF of 6034,4309 is 1 .
LCM of 552,6649 is 3670248.
The greatest common factor of 6034/552,4309/6649 = [GCF of 6034,4309]/[LCM of 552,6649]= 1/3670248
Therefore, the GCF of 6034/552,4309/6649 is 1/3670248.
To find the highest common factor of 6034,4309, we have to find the factors of both numbers and list the highest common factor.
The factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034
The factors of 4309 are 1, 31, 139, 4309
The HCF of 6034,4309 is 1.
Lets's calculate GCF of 6034,4309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6034,4309 By Matching Biggest Common Factor Method
Now, list down the factors of 6034
:1,2,7,14,431,862,3017,6034
Now, list down the factors of 4309
:1,31,139,4309
Greatest Common Factor
We found the factors 6034,4309 . The biggest common factor number is the GCF number.
So the greatest common factor 6034,4309 is 1.
Lets's calculate LCM of 552,6649
Given numbers has no common factors except 1. So, there LCM is their product i.e 3670248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3670248
Therefore, the GCF of Fractions 6034/552,4309/6649 is 1/3670248
Least Common Multiple of 552,6649 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 552,6649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,6649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(552,6649) x common factors =1 x 1 = 1
LCM(552,6649) = ( 552 × 6649 ) / 1
LCM(552,6649) = 3670248 / 1
LCM(552,6649) = 3670248
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FAQs on GCF of Fractions of 6034/552, 4309/6649
1. What is the HCF of 6034,4309?
The HCF of 6034,4309 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 6034/552, 4309/6649?
Answer: GCF of Numerators as per given numbers 6034/552, 4309/6649 is
GCF of Numerators i.e. for 6034,4309 is 1
LCM of denominators i.e. for 552,6649 is 3670248.
Thus, GCF of Fractions is 1/3670248.Finally, GCF of Fractions for 6034/552, 4309/6649 is 1/3670248.