GCF of 5305/749, 2202/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5305/749, 2202/139 i.e 1/104111 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5305/749, 2202/139.
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 5305/749,2202/139?
Given fractions are 5305/749,2202/139
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 5305/749,2202/139, numerators are 5305,2202
Denominators are 749,139
The GCF of 5305,2202 is 1 .
LCM of 749,139 is 104111.
The greatest common factor of 5305/749,2202/139 = [GCF of 5305,2202]/[LCM of 749,139]= 1/104111
Therefore, the GCF of 5305/749,2202/139 is 1/104111.
To find the highest common factor of 5305,2202, we have to find the factors of both numbers and list the highest common factor.
The factors of 5305 are 1, 5, 1061, 5305
The factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202
The HCF of 5305,2202 is 1.
Lets's calculate GCF of 5305,2202
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5305,2202 By Matching Biggest Common Factor Method
Now, list down the factors of 5305
:1,5,1061,5305
Now, list down the factors of 2202
:1,2,3,6,367,734,1101,2202
Greatest Common Factor
We found the factors 5305,2202 . The biggest common factor number is the GCF number.
So the greatest common factor 5305,2202 is 1.
Lets's calculate LCM of 749,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 104111
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104111
Therefore, the GCF of Fractions 5305/749,2202/139 is 1/104111
Least Common Multiple of 749,139 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 749,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,139) x common factors =1 x 1 = 1
LCM(749,139) = ( 749 × 139 ) / 1
LCM(749,139) = 104111 / 1
LCM(749,139) = 104111
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FAQs on GCF of Fractions of 5305/749, 2202/139
1. What is the HCF of 5305,2202?
The HCF of 5305,2202 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 5305/749, 2202/139?
Answer: GCF of Numerators as per given numbers 5305/749, 2202/139 is
GCF of Numerators i.e. for 5305,2202 is 1
LCM of denominators i.e. for 749,139 is 104111.
Thus, GCF of Fractions is 1/104111.Finally, GCF of Fractions for 5305/749, 2202/139 is 1/104111.