GCF of 3034/137, 6514/7589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3034/137, 6514/7589 i.e 2/1039693 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3034/137, 6514/7589.
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 3034/137,6514/7589?
Given fractions are 3034/137,6514/7589
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 3034/137,6514/7589, numerators are 3034,6514
Denominators are 137,7589
The GCF of 3034,6514 is 2 .
LCM of 137,7589 is 1039693.
The greatest common factor of 3034/137,6514/7589 = [GCF of 3034,6514]/[LCM of 137,7589]= 2/1039693
Therefore, the GCF of 3034/137,6514/7589 is 2/1039693.
To find the highest common factor of 3034,6514, we have to find the factors of both numbers and list the highest common factor.
The factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034
The factors of 6514 are 1, 2, 3257, 6514
The HCF of 3034,6514 is 2.
Lets's calculate GCF of 3034,6514
| 2 | 3034, 6514 |
| 1517, 3257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3034,6514 By Matching Biggest Common Factor Method
Now, list down the factors of 3034
:1,2,37,41,74,82,1517,3034
Now, list down the factors of 6514
:1,2,3257,6514
Greatest Common Factor
We found the factors 3034,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 3034,6514 is 2.
Lets's calculate LCM of 137,7589
Given numbers has no common factors except 1. So, there LCM is their product i.e 1039693
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1039693
Therefore, the GCF of Fractions 3034/137,6514/7589 is 2/1039693
Least Common Multiple of 137,7589 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 137,7589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,7589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,7589) x common factors =1 x 1 = 1
LCM(137,7589) = ( 137 × 7589 ) / 1
LCM(137,7589) = 1039693 / 1
LCM(137,7589) = 1039693
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FAQs on GCF of Fractions of 3034/137, 6514/7589
1. What is the HCF of 3034,6514?
The HCF of 3034,6514 is 2
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 3034/137, 6514/7589?
Answer: GCF of Numerators as per given numbers 3034/137, 6514/7589 is
GCF of Numerators i.e. for 3034,6514 is 2
LCM of denominators i.e. for 137,7589 is 1039693.
Thus, GCF of Fractions is 2/1039693.Finally, GCF of Fractions for 3034/137, 6514/7589 is 2/1039693.