GCF of 9006/211, 6088/6785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9006/211, 6088/6785 i.e 2/1431635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9006/211, 6088/6785.
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 9006/211,6088/6785?
Given fractions are 9006/211,6088/6785
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 9006/211,6088/6785, numerators are 9006,6088
Denominators are 211,6785
The GCF of 9006,6088 is 2 .
LCM of 211,6785 is 1431635.
The greatest common factor of 9006/211,6088/6785 = [GCF of 9006,6088]/[LCM of 211,6785]= 2/1431635
Therefore, the GCF of 9006/211,6088/6785 is 2/1431635.
To find the highest common factor of 9006,6088, we have to find the factors of both numbers and list the highest common factor.
The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006
The factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088
The HCF of 9006,6088 is 2.
Lets's calculate GCF of 9006,6088
| 2 | 9006, 6088 |
| 4503, 3044 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9006,6088 By Matching Biggest Common Factor Method
Now, list down the factors of 9006
:1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006
Now, list down the factors of 6088
:1,2,4,8,761,1522,3044,6088
Greatest Common Factor
We found the factors 9006,6088 . The biggest common factor number is the GCF number.
So the greatest common factor 9006,6088 is 2.
Lets's calculate LCM of 211,6785
Given numbers has no common factors except 1. So, there LCM is their product i.e 1431635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1431635
Therefore, the GCF of Fractions 9006/211,6088/6785 is 2/1431635
Least Common Multiple of 211,6785 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 211,6785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,6785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,6785) x common factors =1 x 1 = 1
LCM(211,6785) = ( 211 × 6785 ) / 1
LCM(211,6785) = 1431635 / 1
LCM(211,6785) = 1431635
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FAQs on GCF of Fractions of 9006/211, 6088/6785
1. What is the HCF of 9006,6088?
The HCF of 9006,6088 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 9006/211, 6088/6785?
Answer: GCF of Numerators as per given numbers 9006/211, 6088/6785 is
GCF of Numerators i.e. for 9006,6088 is 2
LCM of denominators i.e. for 211,6785 is 1431635.
Thus, GCF of Fractions is 2/1431635.Finally, GCF of Fractions for 9006/211, 6088/6785 is 2/1431635.