GCF of 1870/116, 1034/8894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1870/116, 1034/8894 i.e 22/515852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1870/116, 1034/8894.
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 1870/116,1034/8894?
Given fractions are 1870/116,1034/8894
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 1870/116,1034/8894, numerators are 1870,1034
Denominators are 116,8894
The GCF of 1870,1034 is 22 .
LCM of 116,8894 is 515852.
The greatest common factor of 1870/116,1034/8894 = [GCF of 1870,1034]/[LCM of 116,8894]= 22/515852
Therefore, the GCF of 1870/116,1034/8894 is 22/515852.
To find the highest common factor of 1870,1034, 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 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The HCF of 1870,1034 is 22.
Lets's calculate GCF of 1870,1034
| 2 | 1870, 1034 |
| 11 | 935, 517 |
| 85, 47 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 1870,1034 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 1034
:1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors 1870,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 1870,1034 is 22.
Lets's calculate LCM of 116,8894
| 2 | 116, 8894 |
| 58, 4447 |
∴ So the LCM of the given numbers is 2 x 58 x 4447 = 515852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/515852
Therefore, the GCF of Fractions 1870/116,1034/8894 is 22/515852
Least Common Multiple of 116,8894 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 116,8894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,8894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,8894) x common factors =2 x 1 = 2
LCM(116,8894) = ( 116 × 8894 ) / 2
LCM(116,8894) = 1031704 / 2
LCM(116,8894) = 515852
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FAQs on GCF of Fractions of 1870/116, 1034/8894
1. What is the HCF of 1870,1034?
The HCF of 1870,1034 is 22
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 1870/116, 1034/8894?
Answer: GCF of Numerators as per given numbers 1870/116, 1034/8894 is
GCF of Numerators i.e. for 1870,1034 is 22
LCM of denominators i.e. for 116,8894 is 515852.
Thus, GCF of Fractions is 22/515852.Finally, GCF of Fractions for 1870/116, 1034/8894 is 22/515852.