GCF of 8890/269, 1113/7618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8890/269, 1113/7618 i.e 7/2049242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8890/269, 1113/7618.
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 8890/269,1113/7618?
Given fractions are 8890/269,1113/7618
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 8890/269,1113/7618, numerators are 8890,1113
Denominators are 269,7618
The GCF of 8890,1113 is 7 .
LCM of 269,7618 is 2049242.
The greatest common factor of 8890/269,1113/7618 = [GCF of 8890,1113]/[LCM of 269,7618]= 7/2049242
Therefore, the GCF of 8890/269,1113/7618 is 7/2049242.
To find the highest common factor of 8890,1113, we have to find the factors of both numbers and list the highest common factor.
The factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890
The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113
The HCF of 8890,1113 is 7.
Lets's calculate GCF of 8890,1113
| 7 | 8890, 1113 |
| 1270, 159 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8890,1113 By Matching Biggest Common Factor Method
Now, list down the factors of 8890
:1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890
Now, list down the factors of 1113
:1,3,7,21,53,159,371,1113
Greatest Common Factor
We found the factors 8890,1113 . The biggest common factor number is the GCF number.
So the greatest common factor 8890,1113 is 7.
Lets's calculate LCM of 269,7618
Given numbers has no common factors except 1. So, there LCM is their product i.e 2049242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2049242
Therefore, the GCF of Fractions 8890/269,1113/7618 is 7/2049242
Least Common Multiple of 269,7618 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 269,7618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,7618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,7618) x common factors =1 x 1 = 1
LCM(269,7618) = ( 269 × 7618 ) / 1
LCM(269,7618) = 2049242 / 1
LCM(269,7618) = 2049242
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FAQs on GCF of Fractions of 8890/269, 1113/7618
1. What is the HCF of 8890,1113?
The HCF of 8890,1113 is 7
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 8890/269, 1113/7618?
Answer: GCF of Numerators as per given numbers 8890/269, 1113/7618 is
GCF of Numerators i.e. for 8890,1113 is 7
LCM of denominators i.e. for 269,7618 is 2049242.
Thus, GCF of Fractions is 7/2049242.Finally, GCF of Fractions for 8890/269, 1113/7618 is 7/2049242.