GCF of 7211/313, 4088/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7211/313, 4088/491 i.e 1/153683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7211/313, 4088/491.
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 7211/313,4088/491?
Given fractions are 7211/313,4088/491
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 7211/313,4088/491, numerators are 7211,4088
Denominators are 313,491
The GCF of 7211,4088 is 1 .
LCM of 313,491 is 153683.
The greatest common factor of 7211/313,4088/491 = [GCF of 7211,4088]/[LCM of 313,491]= 1/153683
Therefore, the GCF of 7211/313,4088/491 is 1/153683.
To find the highest common factor of 7211,4088, we have to find the factors of both numbers and list the highest common factor.
The factors of 7211 are 1, 7211
The factors of 4088 are 1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088
The HCF of 7211,4088 is 1.
Lets's calculate GCF of 7211,4088
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7211,4088 By Matching Biggest Common Factor Method
Now, list down the factors of 7211
:1,7211
Now, list down the factors of 4088
:1,2,4,7,8,14,28,56,73,146,292,511,584,1022,2044,4088
Greatest Common Factor
We found the factors 7211,4088 . The biggest common factor number is the GCF number.
So the greatest common factor 7211,4088 is 1.
Lets's calculate LCM of 313,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 153683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153683
Therefore, the GCF of Fractions 7211/313,4088/491 is 1/153683
Least Common Multiple of 313,491 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 313,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,491) x common factors =1 x 1 = 1
LCM(313,491) = ( 313 × 491 ) / 1
LCM(313,491) = 153683 / 1
LCM(313,491) = 153683
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FAQs on GCF of Fractions of 7211/313, 4088/491
1. What is the HCF of 7211,4088?
The HCF of 7211,4088 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 7211/313, 4088/491?
Answer: GCF of Numerators as per given numbers 7211/313, 4088/491 is
GCF of Numerators i.e. for 7211,4088 is 1
LCM of denominators i.e. for 313,491 is 153683.
Thus, GCF of Fractions is 1/153683.Finally, GCF of Fractions for 7211/313, 4088/491 is 1/153683.