GCF of 2807/270, 9691/4008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2807/270, 9691/4008 i.e 1/180360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2807/270, 9691/4008.
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 2807/270,9691/4008?
Given fractions are 2807/270,9691/4008
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 2807/270,9691/4008, numerators are 2807,9691
Denominators are 270,4008
The GCF of 2807,9691 is 1 .
LCM of 270,4008 is 180360.
The greatest common factor of 2807/270,9691/4008 = [GCF of 2807,9691]/[LCM of 270,4008]= 1/180360
Therefore, the GCF of 2807/270,9691/4008 is 1/180360.
To find the highest common factor of 2807,9691, we have to find the factors of both numbers and list the highest common factor.
The factors of 2807 are 1, 7, 401, 2807
The factors of 9691 are 1, 11, 881, 9691
The HCF of 2807,9691 is 1.
Lets's calculate GCF of 2807,9691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2807,9691 By Matching Biggest Common Factor Method
Now, list down the factors of 2807
:1,7,401,2807
Now, list down the factors of 9691
:1,11,881,9691
Greatest Common Factor
We found the factors 2807,9691 . The biggest common factor number is the GCF number.
So the greatest common factor 2807,9691 is 1.
Lets's calculate LCM of 270,4008
| 2 | 270, 4008 |
| 3 | 135, 2004 |
| 45, 668 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 668 = 180360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180360
Therefore, the GCF of Fractions 2807/270,9691/4008 is 1/180360
Least Common Multiple of 270,4008 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 270,4008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,4008) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(270,4008) x common factors =6 x 1 = 6
LCM(270,4008) = ( 270 × 4008 ) / 6
LCM(270,4008) = 1082160 / 6
LCM(270,4008) = 180360
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FAQs on GCF of Fractions of 2807/270, 9691/4008
1. What is the HCF of 2807,9691?
The HCF of 2807,9691 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 2807/270, 9691/4008?
Answer: GCF of Numerators as per given numbers 2807/270, 9691/4008 is
GCF of Numerators i.e. for 2807,9691 is 1
LCM of denominators i.e. for 270,4008 is 180360.
Thus, GCF of Fractions is 1/180360.Finally, GCF of Fractions for 2807/270, 9691/4008 is 1/180360.