GCF of 4991/101, 7311/6197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4991/101, 7311/6197 i.e 1/625897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4991/101, 7311/6197.
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 4991/101,7311/6197?
Given fractions are 4991/101,7311/6197
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 4991/101,7311/6197, numerators are 4991,7311
Denominators are 101,6197
The GCF of 4991,7311 is 1 .
LCM of 101,6197 is 625897.
The greatest common factor of 4991/101,7311/6197 = [GCF of 4991,7311]/[LCM of 101,6197]= 1/625897
Therefore, the GCF of 4991/101,7311/6197 is 1/625897.
To find the highest common factor of 4991,7311, we have to find the factors of both numbers and list the highest common factor.
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991
The factors of 7311 are 1, 3, 2437, 7311
The HCF of 4991,7311 is 1.
Lets's calculate GCF of 4991,7311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4991,7311 By Matching Biggest Common Factor Method
Now, list down the factors of 4991
:1,7,23,31,161,217,713,4991
Now, list down the factors of 7311
:1,3,2437,7311
Greatest Common Factor
We found the factors 4991,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 4991,7311 is 1.
Lets's calculate LCM of 101,6197
Given numbers has no common factors except 1. So, there LCM is their product i.e 625897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/625897
Therefore, the GCF of Fractions 4991/101,7311/6197 is 1/625897
Least Common Multiple of 101,6197 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 101,6197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,6197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,6197) x common factors =1 x 1 = 1
LCM(101,6197) = ( 101 × 6197 ) / 1
LCM(101,6197) = 625897 / 1
LCM(101,6197) = 625897
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FAQs on GCF of Fractions of 4991/101, 7311/6197
1. What is the HCF of 4991,7311?
The HCF of 4991,7311 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 4991/101, 7311/6197?
Answer: GCF of Numerators as per given numbers 4991/101, 7311/6197 is
GCF of Numerators i.e. for 4991,7311 is 1
LCM of denominators i.e. for 101,6197 is 625897.
Thus, GCF of Fractions is 1/625897.Finally, GCF of Fractions for 4991/101, 7311/6197 is 1/625897.