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 526, 4087 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 4087 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 526, 4087 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 526, 4087 is 1.
HCF(526, 4087) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 4087 is 1.
Step 1: Since 4087 > 526, we apply the division lemma to 4087 and 526, to get
4087 = 526 x 7 + 405
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 405 and 526, to get
526 = 405 x 1 + 121
Step 3: We consider the new divisor 405 and the new remainder 121, and apply the division lemma to get
405 = 121 x 3 + 42
We consider the new divisor 121 and the new remainder 42,and apply the division lemma to get
121 = 42 x 2 + 37
We consider the new divisor 42 and the new remainder 37,and apply the division lemma to get
42 = 37 x 1 + 5
We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get
37 = 5 x 7 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 526 and 4087 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(121,42) = HCF(405,121) = HCF(526,405) = HCF(4087,526) .
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 526, 4087?
Answer: HCF of 526, 4087 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 4087 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 4087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.