GCF of 2053/145, 6160/1974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2053/145, 6160/1974 i.e 1/286230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2053/145, 6160/1974.
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 2053/145,6160/1974?
Given fractions are 2053/145,6160/1974
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 2053/145,6160/1974, numerators are 2053,6160
Denominators are 145,1974
The GCF of 2053,6160 is 1 .
LCM of 145,1974 is 286230.
The greatest common factor of 2053/145,6160/1974 = [GCF of 2053,6160]/[LCM of 145,1974]= 1/286230
Therefore, the GCF of 2053/145,6160/1974 is 1/286230.
To find the highest common factor of 2053,6160, we have to find the factors of both numbers and list the highest common factor.
The factors of 2053 are 1, 2053
The factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160
The HCF of 2053,6160 is 1.
Lets's calculate GCF of 2053,6160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2053,6160 By Matching Biggest Common Factor Method
Now, list down the factors of 2053
:1,2053
Now, list down the factors of 6160
:1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Greatest Common Factor
We found the factors 2053,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 2053,6160 is 1.
Lets's calculate LCM of 145,1974
Given numbers has no common factors except 1. So, there LCM is their product i.e 286230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286230
Therefore, the GCF of Fractions 2053/145,6160/1974 is 1/286230
Least Common Multiple of 145,1974 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 145,1974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,1974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,1974) x common factors =1 x 1 = 1
LCM(145,1974) = ( 145 × 1974 ) / 1
LCM(145,1974) = 286230 / 1
LCM(145,1974) = 286230
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FAQs on GCF of Fractions of 2053/145, 6160/1974
1. What is the HCF of 2053,6160?
The HCF of 2053,6160 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 2053/145, 6160/1974?
Answer: GCF of Numerators as per given numbers 2053/145, 6160/1974 is
GCF of Numerators i.e. for 2053,6160 is 1
LCM of denominators i.e. for 145,1974 is 286230.
Thus, GCF of Fractions is 1/286230.Finally, GCF of Fractions for 2053/145, 6160/1974 is 1/286230.