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 859, 516, 596 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 516, 596 is 1 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 859, 516, 596 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 859, 516, 596 is 1.
HCF(859, 516, 596) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 859, 516, 596 is 1.
Step 1: Since 859 > 516, we apply the division lemma to 859 and 516, to get
859 = 516 x 1 + 343
Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 343 and 516, to get
516 = 343 x 1 + 173
Step 3: We consider the new divisor 343 and the new remainder 173, and apply the division lemma to get
343 = 173 x 1 + 170
We consider the new divisor 173 and the new remainder 170,and apply the division lemma to get
173 = 170 x 1 + 3
We consider the new divisor 170 and the new remainder 3,and apply the division lemma to get
170 = 3 x 56 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 859 and 516 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(170,3) = HCF(173,170) = HCF(343,173) = HCF(516,343) = HCF(859,516) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 596 > 1, we apply the division lemma to 596 and 1, to get
596 = 1 x 596 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 596 is 1
Notice that 1 = HCF(596,1) .
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 859, 516, 596?
Answer: HCF of 859, 516, 596 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 516, 596 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 516, 596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.