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 1133, 9531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1133, 9531 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 1133, 9531 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 1133, 9531 is 1.
HCF(1133, 9531) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1133, 9531 is 1.
Step 1: Since 9531 > 1133, we apply the division lemma to 9531 and 1133, to get
9531 = 1133 x 8 + 467
Step 2: Since the reminder 1133 ≠ 0, we apply division lemma to 467 and 1133, to get
1133 = 467 x 2 + 199
Step 3: We consider the new divisor 467 and the new remainder 199, and apply the division lemma to get
467 = 199 x 2 + 69
We consider the new divisor 199 and the new remainder 69,and apply the division lemma to get
199 = 69 x 2 + 61
We consider the new divisor 69 and the new remainder 61,and apply the division lemma to get
69 = 61 x 1 + 8
We consider the new divisor 61 and the new remainder 8,and apply the division lemma to get
61 = 8 x 7 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 1133 and 9531 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(61,8) = HCF(69,61) = HCF(199,69) = HCF(467,199) = HCF(1133,467) = HCF(9531,1133) .
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 1133, 9531?
Answer: HCF of 1133, 9531 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1133, 9531 using Euclid's Algorithm?
Answer: For arbitrary numbers 1133, 9531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.