GCF of 1870/154, 3128/1786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1870/154, 3128/1786 i.e 34/137522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1870/154, 3128/1786.
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 1870/154,3128/1786?
Given fractions are 1870/154,3128/1786
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 1870/154,3128/1786, numerators are 1870,3128
Denominators are 154,1786
The GCF of 1870,3128 is 34 .
LCM of 154,1786 is 137522.
The greatest common factor of 1870/154,3128/1786 = [GCF of 1870,3128]/[LCM of 154,1786]= 34/137522
Therefore, the GCF of 1870/154,3128/1786 is 34/137522.
To find the highest common factor of 1870,3128, we have to find the factors of both numbers and list the highest common factor.
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128
The HCF of 1870,3128 is 34.
Lets's calculate GCF of 1870,3128
| 2 | 1870, 3128 |
| 17 | 935, 1564 |
| 55, 92 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 1870,3128 By Matching Biggest Common Factor Method
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Now, list down the factors of 3128
:1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128
Greatest Common Factor
We found the factors 1870,3128 . The biggest common factor number is the GCF number.
So the greatest common factor 1870,3128 is 34.
Lets's calculate LCM of 154,1786
| 2 | 154, 1786 |
| 77, 893 |
∴ So the LCM of the given numbers is 2 x 77 x 893 = 137522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/137522
Therefore, the GCF of Fractions 1870/154,3128/1786 is 34/137522
Least Common Multiple of 154,1786 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 154,1786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,1786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,1786) x common factors =2 x 1 = 2
LCM(154,1786) = ( 154 × 1786 ) / 2
LCM(154,1786) = 275044 / 2
LCM(154,1786) = 137522
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FAQs on GCF of Fractions of 1870/154, 3128/1786
1. What is the HCF of 1870,3128?
The HCF of 1870,3128 is 34
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 1870/154, 3128/1786?
Answer: GCF of Numerators as per given numbers 1870/154, 3128/1786 is
GCF of Numerators i.e. for 1870,3128 is 34
LCM of denominators i.e. for 154,1786 is 137522.
Thus, GCF of Fractions is 34/137522.Finally, GCF of Fractions for 1870/154, 3128/1786 is 34/137522.