GCF of 862/35, 150/81, 222/14
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/35, 150/81, 222/14 i.e 2/5670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/35, 150/81, 222/14.
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 862/35,150/81,222/14?
Given fractions are 862/35,150/81,222/14
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 862/35,150/81,222/14, numerators are 862,150,222
Denominators are 35,81,14
The GCF of 862,150,222 is 2 .
LCM of 35,81,14 is 5670.
The greatest common factor of 862/35,150/81,222/14 = [GCF of 862,150,222]/[LCM of 35,81,14]= 2/5670
Therefore, the GCF of 862/35,150/81,222/14 is 2/5670.
To find the highest common factor of 862,150,222, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 862,150,222 is 2.
Lets's calculate GCF of 862,150,222
| 2 | 862, 150, 222 |
| 431, 75, 111 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 862,150,222 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 862,150,222 . The biggest common factor number is the GCF number.
So the greatest common factor 862,150,222 is 2.
Lets's calculate LCM of 35,81,14
| 7 | 35, 81, 14 |
| 5, 81, 2 |
∴ So the LCM of the given numbers is 7 x 5 x 81 x 2 = 5670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5670
Therefore, the GCF of Fractions 862/35,150/81,222/14 is 2/5670
Least Common Multiple of 35,81,14 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 35,81,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,81,14) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(35,81,14) x common factors =1 x 7 = 7
LCM(35,81,14) = ( 35 × 81 × 14 ) / 7
LCM(35,81,14) = 39690 / 7
LCM(35,81,14) = 5670
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FAQs on GCF of Fractions of 862/35, 150/81, 222/14
1. What is the HCF of 862,150,222?
The HCF of 862,150,222 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 862/35, 150/81, 222/14?
Answer: GCF of Numerators as per given numbers 862/35, 150/81, 222/14 is
GCF of Numerators i.e. for 862,150,222 is 2
LCM of denominators i.e. for 35,81,14 is 5670.
Thus, GCF of Fractions is 2/5670.Finally, GCF of Fractions for 862/35, 150/81, 222/14 is 2/5670.