GCF of 2125/191, 2142/5104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2125/191, 2142/5104 i.e 17/974864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2125/191, 2142/5104.
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 2125/191,2142/5104?
Given fractions are 2125/191,2142/5104
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 2125/191,2142/5104, numerators are 2125,2142
Denominators are 191,5104
The GCF of 2125,2142 is 17 .
LCM of 191,5104 is 974864.
The greatest common factor of 2125/191,2142/5104 = [GCF of 2125,2142]/[LCM of 191,5104]= 17/974864
Therefore, the GCF of 2125/191,2142/5104 is 17/974864.
To find the highest common factor of 2125,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 2125 are 1, 5, 17, 25, 85, 125, 425, 2125
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 2125,2142 is 17.
Lets's calculate GCF of 2125,2142
| 17 | 2125, 2142 |
| 125, 126 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2125,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 2125
:1,5,17,25,85,125,425,2125
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 2125,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 2125,2142 is 17.
Lets's calculate LCM of 191,5104
Given numbers has no common factors except 1. So, there LCM is their product i.e 974864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/974864
Therefore, the GCF of Fractions 2125/191,2142/5104 is 17/974864
Least Common Multiple of 191,5104 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 191,5104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,5104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,5104) x common factors =1 x 1 = 1
LCM(191,5104) = ( 191 × 5104 ) / 1
LCM(191,5104) = 974864 / 1
LCM(191,5104) = 974864
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FAQs on GCF of Fractions of 2125/191, 2142/5104
1. What is the HCF of 2125,2142?
The HCF of 2125,2142 is 17
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 2125/191, 2142/5104?
Answer: GCF of Numerators as per given numbers 2125/191, 2142/5104 is
GCF of Numerators i.e. for 2125,2142 is 17
LCM of denominators i.e. for 191,5104 is 974864.
Thus, GCF of Fractions is 17/974864.Finally, GCF of Fractions for 2125/191, 2142/5104 is 17/974864.