Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 335, 855 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 335, 855 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 335, 855 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 335, 855 is 5.
HCF(335, 855) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 335, 855 is 5.
Step 1: Since 855 > 335, we apply the division lemma to 855 and 335, to get
855 = 335 x 2 + 185
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 185 and 335, to get
335 = 185 x 1 + 150
Step 3: We consider the new divisor 185 and the new remainder 150, and apply the division lemma to get
185 = 150 x 1 + 35
We consider the new divisor 150 and the new remainder 35,and apply the division lemma to get
150 = 35 x 4 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 335 and 855 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(150,35) = HCF(185,150) = HCF(335,185) = HCF(855,335) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 335, 855?
Answer: HCF of 335, 855 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 335, 855 using Euclid's Algorithm?
Answer: For arbitrary numbers 335, 855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.