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 531, 9507, 5956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 531, 9507, 5956 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 531, 9507, 5956 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 531, 9507, 5956 is 1.
HCF(531, 9507, 5956) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 531, 9507, 5956 is 1.
Step 1: Since 9507 > 531, we apply the division lemma to 9507 and 531, to get
9507 = 531 x 17 + 480
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 480 and 531, to get
531 = 480 x 1 + 51
Step 3: We consider the new divisor 480 and the new remainder 51, and apply the division lemma to get
480 = 51 x 9 + 21
We consider the new divisor 51 and the new remainder 21,and apply the division lemma to get
51 = 21 x 2 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 531 and 9507 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(51,21) = HCF(480,51) = HCF(531,480) = HCF(9507,531) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5956 > 3, we apply the division lemma to 5956 and 3, to get
5956 = 3 x 1985 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 5956 is 1
Notice that 1 = HCF(3,1) = HCF(5956,3) .
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 531, 9507, 5956?
Answer: HCF of 531, 9507, 5956 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 531, 9507, 5956 using Euclid's Algorithm?
Answer: For arbitrary numbers 531, 9507, 5956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.