GCF of 2935/257, 3504/7122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2935/257, 3504/7122 i.e 1/1830354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2935/257, 3504/7122.
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 2935/257,3504/7122?
Given fractions are 2935/257,3504/7122
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 2935/257,3504/7122, numerators are 2935,3504
Denominators are 257,7122
The GCF of 2935,3504 is 1 .
LCM of 257,7122 is 1830354.
The greatest common factor of 2935/257,3504/7122 = [GCF of 2935,3504]/[LCM of 257,7122]= 1/1830354
Therefore, the GCF of 2935/257,3504/7122 is 1/1830354.
To find the highest common factor of 2935,3504, we have to find the factors of both numbers and list the highest common factor.
The factors of 2935 are 1, 5, 587, 2935
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The HCF of 2935,3504 is 1.
Lets's calculate GCF of 2935,3504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2935,3504 By Matching Biggest Common Factor Method
Now, list down the factors of 2935
:1,5,587,2935
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Greatest Common Factor
We found the factors 2935,3504 . The biggest common factor number is the GCF number.
So the greatest common factor 2935,3504 is 1.
Lets's calculate LCM of 257,7122
Given numbers has no common factors except 1. So, there LCM is their product i.e 1830354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1830354
Therefore, the GCF of Fractions 2935/257,3504/7122 is 1/1830354
Least Common Multiple of 257,7122 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 257,7122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,7122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,7122) x common factors =1 x 1 = 1
LCM(257,7122) = ( 257 × 7122 ) / 1
LCM(257,7122) = 1830354 / 1
LCM(257,7122) = 1830354
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2935/257, 3504/7122
1. What is the HCF of 2935,3504?
The HCF of 2935,3504 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 2935/257, 3504/7122?
Answer: GCF of Numerators as per given numbers 2935/257, 3504/7122 is
GCF of Numerators i.e. for 2935,3504 is 1
LCM of denominators i.e. for 257,7122 is 1830354.
Thus, GCF of Fractions is 1/1830354.Finally, GCF of Fractions for 2935/257, 3504/7122 is 1/1830354.