GCF of 978/173, 831/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 978/173, 831/870 i.e 3/150510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 978/173, 831/870.
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 978/173,831/870?
Given fractions are 978/173,831/870
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 978/173,831/870, numerators are 978,831
Denominators are 173,870
The GCF of 978,831 is 3 .
LCM of 173,870 is 150510.
The greatest common factor of 978/173,831/870 = [GCF of 978,831]/[LCM of 173,870]= 3/150510
Therefore, the GCF of 978/173,831/870 is 3/150510.
To find the highest common factor of 978,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978
The factors of 831 are 1, 3, 277, 831
The HCF of 978,831 is 3.
Lets's calculate GCF of 978,831
| 3 | 978, 831 |
| 326, 277 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 978,831 By Matching Biggest Common Factor Method
Now, list down the factors of 978
:1,2,3,6,163,326,489,978
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 978,831 . The biggest common factor number is the GCF number.
So the greatest common factor 978,831 is 3.
Lets's calculate LCM of 173,870
Given numbers has no common factors except 1. So, there LCM is their product i.e 150510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/150510
Therefore, the GCF of Fractions 978/173,831/870 is 3/150510
Least Common Multiple of 173,870 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 173,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,870) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,870) x common factors =1 x 1 = 1
LCM(173,870) = ( 173 × 870 ) / 1
LCM(173,870) = 150510 / 1
LCM(173,870) = 150510
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FAQs on GCF of Fractions of 978/173, 831/870
1. What is the HCF of 978,831?
The HCF of 978,831 is 3
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 978/173, 831/870?
Answer: GCF of Numerators as per given numbers 978/173, 831/870 is
GCF of Numerators i.e. for 978,831 is 3
LCM of denominators i.e. for 173,870 is 150510.
Thus, GCF of Fractions is 3/150510.Finally, GCF of Fractions for 978/173, 831/870 is 3/150510.