GCF of 2057/878, 7260/7197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2057/878, 7260/7197 i.e 121/6318966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2057/878, 7260/7197.
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 2057/878,7260/7197?
Given fractions are 2057/878,7260/7197
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 2057/878,7260/7197, numerators are 2057,7260
Denominators are 878,7197
The GCF of 2057,7260 is 121 .
LCM of 878,7197 is 6318966.
The greatest common factor of 2057/878,7260/7197 = [GCF of 2057,7260]/[LCM of 878,7197]= 121/6318966
Therefore, the GCF of 2057/878,7260/7197 is 121/6318966.
To find the highest common factor of 2057,7260, we have to find the factors of both numbers and list the highest common factor.
The factors of 2057 are 1, 11, 17, 121, 187, 2057
The factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260
The HCF of 2057,7260 is 121.
Lets's calculate GCF of 2057,7260
| 11 | 2057, 7260 |
| 11 | 187, 660 |
| 17, 60 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Greatest Common Factor of 2057,7260 By Matching Biggest Common Factor Method
Now, list down the factors of 2057
:1,11,17,121,187,2057
Now, list down the factors of 7260
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260
Greatest Common Factor
We found the factors 2057,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 2057,7260 is 121.
Lets's calculate LCM of 878,7197
Given numbers has no common factors except 1. So, there LCM is their product i.e 6318966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/6318966
Therefore, the GCF of Fractions 2057/878,7260/7197 is 121/6318966
Least Common Multiple of 878,7197 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 878,7197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,7197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,7197) x common factors =1 x 1 = 1
LCM(878,7197) = ( 878 × 7197 ) / 1
LCM(878,7197) = 6318966 / 1
LCM(878,7197) = 6318966
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FAQs on GCF of Fractions of 2057/878, 7260/7197
1. What is the HCF of 2057,7260?
The HCF of 2057,7260 is 121
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 2057/878, 7260/7197?
Answer: GCF of Numerators as per given numbers 2057/878, 7260/7197 is
GCF of Numerators i.e. for 2057,7260 is 121
LCM of denominators i.e. for 878,7197 is 6318966.
Thus, GCF of Fractions is 121/6318966.Finally, GCF of Fractions for 2057/878, 7260/7197 is 121/6318966.