GCF of 870/981, 946/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 870/981, 946/111 i.e 2/36297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 870/981, 946/111.
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 870/981,946/111?
Given fractions are 870/981,946/111
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 870/981,946/111, numerators are 870,946
Denominators are 981,111
The GCF of 870,946 is 2 .
LCM of 981,111 is 36297.
The greatest common factor of 870/981,946/111 = [GCF of 870,946]/[LCM of 981,111]= 2/36297
Therefore, the GCF of 870/981,946/111 is 2/36297.
To find the highest common factor of 870,946, we have to find the factors of both numbers and list the highest common factor.
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The HCF of 870,946 is 2.
Lets's calculate GCF of 870,946
| 2 | 870, 946 |
| 435, 473 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 870,946 By Matching Biggest Common Factor Method
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 870,946 . The biggest common factor number is the GCF number.
So the greatest common factor 870,946 is 2.
Lets's calculate LCM of 981,111
| 3 | 981, 111 |
| 327, 37 |
∴ So the LCM of the given numbers is 3 x 327 x 37 = 36297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36297
Therefore, the GCF of Fractions 870/981,946/111 is 2/36297
Least Common Multiple of 981,111 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 981,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(981,111) x common factors =3 x 1 = 3
LCM(981,111) = ( 981 × 111 ) / 3
LCM(981,111) = 108891 / 3
LCM(981,111) = 36297
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FAQs on GCF of Fractions of 870/981, 946/111
1. What is the HCF of 870,946?
The HCF of 870,946 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 870/981, 946/111?
Answer: GCF of Numerators as per given numbers 870/981, 946/111 is
GCF of Numerators i.e. for 870,946 is 2
LCM of denominators i.e. for 981,111 is 36297.
Thus, GCF of Fractions is 2/36297.Finally, GCF of Fractions for 870/981, 946/111 is 2/36297.