GCF of 1870/932, 4042/8650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1870/932, 4042/8650 i.e 2/4030900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1870/932, 4042/8650.
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 1870/932,4042/8650?
Given fractions are 1870/932,4042/8650
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 1870/932,4042/8650, numerators are 1870,4042
Denominators are 932,8650
The GCF of 1870,4042 is 2 .
LCM of 932,8650 is 4030900.
The greatest common factor of 1870/932,4042/8650 = [GCF of 1870,4042]/[LCM of 932,8650]= 2/4030900
Therefore, the GCF of 1870/932,4042/8650 is 2/4030900.
To find the highest common factor of 1870,4042, 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 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042
The HCF of 1870,4042 is 2.
Lets's calculate GCF of 1870,4042
| 2 | 1870, 4042 |
| 935, 2021 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1870,4042 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 4042
:1,2,43,47,86,94,2021,4042
Greatest Common Factor
We found the factors 1870,4042 . The biggest common factor number is the GCF number.
So the greatest common factor 1870,4042 is 2.
Lets's calculate LCM of 932,8650
| 2 | 932, 8650 |
| 466, 4325 |
∴ So the LCM of the given numbers is 2 x 466 x 4325 = 4030900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4030900
Therefore, the GCF of Fractions 1870/932,4042/8650 is 2/4030900
Least Common Multiple of 932,8650 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 932,8650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,8650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,8650) x common factors =2 x 1 = 2
LCM(932,8650) = ( 932 × 8650 ) / 2
LCM(932,8650) = 8061800 / 2
LCM(932,8650) = 4030900
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FAQs on GCF of Fractions of 1870/932, 4042/8650
1. What is the HCF of 1870,4042?
The HCF of 1870,4042 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 1870/932, 4042/8650?
Answer: GCF of Numerators as per given numbers 1870/932, 4042/8650 is
GCF of Numerators i.e. for 1870,4042 is 2
LCM of denominators i.e. for 932,8650 is 4030900.
Thus, GCF of Fractions is 2/4030900.Finally, GCF of Fractions for 1870/932, 4042/8650 is 2/4030900.