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, 507, 964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 507, 964 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, 507, 964 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, 507, 964 is 1.
HCF(859, 507, 964) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 859, 507, 964 is 1.
Step 1: Since 859 > 507, we apply the division lemma to 859 and 507, to get
859 = 507 x 1 + 352
Step 2: Since the reminder 507 ≠ 0, we apply division lemma to 352 and 507, to get
507 = 352 x 1 + 155
Step 3: We consider the new divisor 352 and the new remainder 155, and apply the division lemma to get
352 = 155 x 2 + 42
We consider the new divisor 155 and the new remainder 42,and apply the division lemma to get
155 = 42 x 3 + 29
We consider the new divisor 42 and the new remainder 29,and apply the division lemma to get
42 = 29 x 1 + 13
We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get
29 = 13 x 2 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 859 and 507 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(42,29) = HCF(155,42) = HCF(352,155) = HCF(507,352) = HCF(859,507) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 964 > 1, we apply the division lemma to 964 and 1, to get
964 = 1 x 964 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 964 is 1
Notice that 1 = HCF(964,1) .
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, 507, 964?
Answer: HCF of 859, 507, 964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 507, 964 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 507, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.