GCF of 6009/652, 2716/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6009/652, 2716/170 i.e 1/55420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6009/652, 2716/170.
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 6009/652,2716/170?
Given fractions are 6009/652,2716/170
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 6009/652,2716/170, numerators are 6009,2716
Denominators are 652,170
The GCF of 6009,2716 is 1 .
LCM of 652,170 is 55420.
The greatest common factor of 6009/652,2716/170 = [GCF of 6009,2716]/[LCM of 652,170]= 1/55420
Therefore, the GCF of 6009/652,2716/170 is 1/55420.
To find the highest common factor of 6009,2716, we have to find the factors of both numbers and list the highest common factor.
The factors of 6009 are 1, 3, 2003, 6009
The factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716
The HCF of 6009,2716 is 1.
Lets's calculate GCF of 6009,2716
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6009,2716 By Matching Biggest Common Factor Method
Now, list down the factors of 6009
:1,3,2003,6009
Now, list down the factors of 2716
:1,2,4,7,14,28,97,194,388,679,1358,2716
Greatest Common Factor
We found the factors 6009,2716 . The biggest common factor number is the GCF number.
So the greatest common factor 6009,2716 is 1.
Lets's calculate LCM of 652,170
| 2 | 652, 170 |
| 326, 85 |
∴ So the LCM of the given numbers is 2 x 326 x 85 = 55420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55420
Therefore, the GCF of Fractions 6009/652,2716/170 is 1/55420
Least Common Multiple of 652,170 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 652,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,170) x common factors =2 x 1 = 2
LCM(652,170) = ( 652 × 170 ) / 2
LCM(652,170) = 110840 / 2
LCM(652,170) = 55420
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FAQs on GCF of Fractions of 6009/652, 2716/170
1. What is the HCF of 6009,2716?
The HCF of 6009,2716 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 6009/652, 2716/170?
Answer: GCF of Numerators as per given numbers 6009/652, 2716/170 is
GCF of Numerators i.e. for 6009,2716 is 1
LCM of denominators i.e. for 652,170 is 55420.
Thus, GCF of Fractions is 1/55420.Finally, GCF of Fractions for 6009/652, 2716/170 is 1/55420.