GCF of 1120/168, 2142/618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1120/168, 2142/618 i.e 14/17304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1120/168, 2142/618.
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 1120/168,2142/618?
Given fractions are 1120/168,2142/618
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 1120/168,2142/618, numerators are 1120,2142
Denominators are 168,618
The GCF of 1120,2142 is 14 .
LCM of 168,618 is 17304.
The greatest common factor of 1120/168,2142/618 = [GCF of 1120,2142]/[LCM of 168,618]= 14/17304
Therefore, the GCF of 1120/168,2142/618 is 14/17304.
To find the highest common factor of 1120,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 1120,2142 is 14.
Lets's calculate GCF of 1120,2142
| 2 | 1120, 2142 |
| 7 | 560, 1071 |
| 80, 153 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1120,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 1120
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 1120,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 1120,2142 is 14.
Lets's calculate LCM of 168,618
| 2 | 168, 618 |
| 3 | 84, 309 |
| 28, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 28 x 103 = 17304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/17304
Therefore, the GCF of Fractions 1120/168,2142/618 is 14/17304
Least Common Multiple of 168,618 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 168,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,618) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(168,618) x common factors =6 x 1 = 6
LCM(168,618) = ( 168 × 618 ) / 6
LCM(168,618) = 103824 / 6
LCM(168,618) = 17304
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FAQs on GCF of Fractions of 1120/168, 2142/618
1. What is the HCF of 1120,2142?
The HCF of 1120,2142 is 14
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 1120/168, 2142/618?
Answer: GCF of Numerators as per given numbers 1120/168, 2142/618 is
GCF of Numerators i.e. for 1120,2142 is 14
LCM of denominators i.e. for 168,618 is 17304.
Thus, GCF of Fractions is 14/17304.Finally, GCF of Fractions for 1120/168, 2142/618 is 14/17304.