GCF of 862/28, 656/1342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/28, 656/1342 i.e 2/18788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/28, 656/1342.
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 862/28,656/1342?
Given fractions are 862/28,656/1342
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 862/28,656/1342, numerators are 862,656
Denominators are 28,1342
The GCF of 862,656 is 2 .
LCM of 28,1342 is 18788.
The greatest common factor of 862/28,656/1342 = [GCF of 862,656]/[LCM of 28,1342]= 2/18788
Therefore, the GCF of 862/28,656/1342 is 2/18788.
To find the highest common factor of 862,656, 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 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 862,656 is 2.
Lets's calculate GCF of 862,656
| 2 | 862, 656 |
| 431, 328 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 862,656 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 862,656 . The biggest common factor number is the GCF number.
So the greatest common factor 862,656 is 2.
Lets's calculate LCM of 28,1342
| 2 | 28, 1342 |
| 14, 671 |
∴ So the LCM of the given numbers is 2 x 14 x 671 = 18788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18788
Therefore, the GCF of Fractions 862/28,656/1342 is 2/18788
Least Common Multiple of 28,1342 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 28,1342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,1342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,1342) x common factors =2 x 1 = 2
LCM(28,1342) = ( 28 × 1342 ) / 2
LCM(28,1342) = 37576 / 2
LCM(28,1342) = 18788
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FAQs on GCF of Fractions of 862/28, 656/1342
1. What is the HCF of 862,656?
The HCF of 862,656 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 862/28, 656/1342?
Answer: GCF of Numerators as per given numbers 862/28, 656/1342 is
GCF of Numerators i.e. for 862,656 is 2
LCM of denominators i.e. for 28,1342 is 18788.
Thus, GCF of Fractions is 2/18788.Finally, GCF of Fractions for 862/28, 656/1342 is 2/18788.