GCF of 1160/217, 2542/6266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1160/217, 2542/6266 i.e 2/1359722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1160/217, 2542/6266.
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 1160/217,2542/6266?
Given fractions are 1160/217,2542/6266
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 1160/217,2542/6266, numerators are 1160,2542
Denominators are 217,6266
The GCF of 1160,2542 is 2 .
LCM of 217,6266 is 1359722.
The greatest common factor of 1160/217,2542/6266 = [GCF of 1160,2542]/[LCM of 217,6266]= 2/1359722
Therefore, the GCF of 1160/217,2542/6266 is 2/1359722.
To find the highest common factor of 1160,2542, we have to find the factors of both numbers and list the highest common factor.
The factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
The factors of 2542 are 1, 2, 31, 41, 62, 82, 1271, 2542
The HCF of 1160,2542 is 2.
Lets's calculate GCF of 1160,2542
| 2 | 1160, 2542 |
| 580, 1271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1160,2542 By Matching Biggest Common Factor Method
Now, list down the factors of 1160
:1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160
Now, list down the factors of 2542
:1,2,31,41,62,82,1271,2542
Greatest Common Factor
We found the factors 1160,2542 . The biggest common factor number is the GCF number.
So the greatest common factor 1160,2542 is 2.
Lets's calculate LCM of 217,6266
Given numbers has no common factors except 1. So, there LCM is their product i.e 1359722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1359722
Therefore, the GCF of Fractions 1160/217,2542/6266 is 2/1359722
Least Common Multiple of 217,6266 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 217,6266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,6266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,6266) x common factors =1 x 1 = 1
LCM(217,6266) = ( 217 × 6266 ) / 1
LCM(217,6266) = 1359722 / 1
LCM(217,6266) = 1359722
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FAQs on GCF of Fractions of 1160/217, 2542/6266
1. What is the HCF of 1160,2542?
The HCF of 1160,2542 is 2
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 1160/217, 2542/6266?
Answer: GCF of Numerators as per given numbers 1160/217, 2542/6266 is
GCF of Numerators i.e. for 1160,2542 is 2
LCM of denominators i.e. for 217,6266 is 1359722.
Thus, GCF of Fractions is 2/1359722.Finally, GCF of Fractions for 1160/217, 2542/6266 is 2/1359722.