GCF of 4408/168, 2142/4891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4408/168, 2142/4891 i.e 2/821688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4408/168, 2142/4891.
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 4408/168,2142/4891?
Given fractions are 4408/168,2142/4891
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 4408/168,2142/4891, numerators are 4408,2142
Denominators are 168,4891
The GCF of 4408,2142 is 2 .
LCM of 168,4891 is 821688.
The greatest common factor of 4408/168,2142/4891 = [GCF of 4408,2142]/[LCM of 168,4891]= 2/821688
Therefore, the GCF of 4408/168,2142/4891 is 2/821688.
To find the highest common factor of 4408,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408
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 4408,2142 is 2.
Lets's calculate GCF of 4408,2142
| 2 | 4408, 2142 |
| 2204, 1071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4408,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 4408
:1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408
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 4408,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 4408,2142 is 2.
Lets's calculate LCM of 168,4891
Given numbers has no common factors except 1. So, there LCM is their product i.e 821688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/821688
Therefore, the GCF of Fractions 4408/168,2142/4891 is 2/821688
Least Common Multiple of 168,4891 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 168,4891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,4891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(168,4891) x common factors =1 x 1 = 1
LCM(168,4891) = ( 168 × 4891 ) / 1
LCM(168,4891) = 821688 / 1
LCM(168,4891) = 821688
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4408/168, 2142/4891
1. What is the HCF of 4408,2142?
The HCF of 4408,2142 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 4408/168, 2142/4891?
Answer: GCF of Numerators as per given numbers 4408/168, 2142/4891 is
GCF of Numerators i.e. for 4408,2142 is 2
LCM of denominators i.e. for 168,4891 is 821688.
Thus, GCF of Fractions is 2/821688.Finally, GCF of Fractions for 4408/168, 2142/4891 is 2/821688.