GCF of 2802/235, 4913/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2802/235, 4913/428 i.e 1/100580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2802/235, 4913/428.
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 2802/235,4913/428?
Given fractions are 2802/235,4913/428
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 2802/235,4913/428, numerators are 2802,4913
Denominators are 235,428
The GCF of 2802,4913 is 1 .
LCM of 235,428 is 100580.
The greatest common factor of 2802/235,4913/428 = [GCF of 2802,4913]/[LCM of 235,428]= 1/100580
Therefore, the GCF of 2802/235,4913/428 is 1/100580.
To find the highest common factor of 2802,4913, we have to find the factors of both numbers and list the highest common factor.
The factors of 2802 are 1, 2, 3, 6, 467, 934, 1401, 2802
The factors of 4913 are 1, 17, 289, 4913
The HCF of 2802,4913 is 1.
Lets's calculate GCF of 2802,4913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2802,4913 By Matching Biggest Common Factor Method
Now, list down the factors of 2802
:1,2,3,6,467,934,1401,2802
Now, list down the factors of 4913
:1,17,289,4913
Greatest Common Factor
We found the factors 2802,4913 . The biggest common factor number is the GCF number.
So the greatest common factor 2802,4913 is 1.
Lets's calculate LCM of 235,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 100580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100580
Therefore, the GCF of Fractions 2802/235,4913/428 is 1/100580
Least Common Multiple of 235,428 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 235,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,428) x common factors =1 x 1 = 1
LCM(235,428) = ( 235 × 428 ) / 1
LCM(235,428) = 100580 / 1
LCM(235,428) = 100580
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FAQs on GCF of Fractions of 2802/235, 4913/428
1. What is the HCF of 2802,4913?
The HCF of 2802,4913 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 2802/235, 4913/428?
Answer: GCF of Numerators as per given numbers 2802/235, 4913/428 is
GCF of Numerators i.e. for 2802,4913 is 1
LCM of denominators i.e. for 235,428 is 100580.
Thus, GCF of Fractions is 1/100580.Finally, GCF of Fractions for 2802/235, 4913/428 is 1/100580.