GCF of 2279/174, 9053/749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2279/174, 9053/749 i.e 1/130326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2279/174, 9053/749.
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 2279/174,9053/749?
Given fractions are 2279/174,9053/749
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 2279/174,9053/749, numerators are 2279,9053
Denominators are 174,749
The GCF of 2279,9053 is 1 .
LCM of 174,749 is 130326.
The greatest common factor of 2279/174,9053/749 = [GCF of 2279,9053]/[LCM of 174,749]= 1/130326
Therefore, the GCF of 2279/174,9053/749 is 1/130326.
To find the highest common factor of 2279,9053, we have to find the factors of both numbers and list the highest common factor.
The factors of 2279 are 1, 43, 53, 2279
The factors of 9053 are 1, 11, 823, 9053
The HCF of 2279,9053 is 1.
Lets's calculate GCF of 2279,9053
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2279,9053 By Matching Biggest Common Factor Method
Now, list down the factors of 2279
:1,43,53,2279
Now, list down the factors of 9053
:1,11,823,9053
Greatest Common Factor
We found the factors 2279,9053 . The biggest common factor number is the GCF number.
So the greatest common factor 2279,9053 is 1.
Lets's calculate LCM of 174,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 130326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130326
Therefore, the GCF of Fractions 2279/174,9053/749 is 1/130326
Least Common Multiple of 174,749 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 174,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,749) x common factors =1 x 1 = 1
LCM(174,749) = ( 174 × 749 ) / 1
LCM(174,749) = 130326 / 1
LCM(174,749) = 130326
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FAQs on GCF of Fractions of 2279/174, 9053/749
1. What is the HCF of 2279,9053?
The HCF of 2279,9053 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 2279/174, 9053/749?
Answer: GCF of Numerators as per given numbers 2279/174, 9053/749 is
GCF of Numerators i.e. for 2279,9053 is 1
LCM of denominators i.e. for 174,749 is 130326.
Thus, GCF of Fractions is 1/130326.Finally, GCF of Fractions for 2279/174, 9053/749 is 1/130326.