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 9551, 5867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9551, 5867 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 9551, 5867 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 9551, 5867 is 1.
HCF(9551, 5867) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9551, 5867 is 1.
Step 1: Since 9551 > 5867, we apply the division lemma to 9551 and 5867, to get
9551 = 5867 x 1 + 3684
Step 2: Since the reminder 5867 ≠ 0, we apply division lemma to 3684 and 5867, to get
5867 = 3684 x 1 + 2183
Step 3: We consider the new divisor 3684 and the new remainder 2183, and apply the division lemma to get
3684 = 2183 x 1 + 1501
We consider the new divisor 2183 and the new remainder 1501,and apply the division lemma to get
2183 = 1501 x 1 + 682
We consider the new divisor 1501 and the new remainder 682,and apply the division lemma to get
1501 = 682 x 2 + 137
We consider the new divisor 682 and the new remainder 137,and apply the division lemma to get
682 = 137 x 4 + 134
We consider the new divisor 137 and the new remainder 134,and apply the division lemma to get
137 = 134 x 1 + 3
We consider the new divisor 134 and the new remainder 3,and apply the division lemma to get
134 = 3 x 44 + 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 9551 and 5867 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(134,3) = HCF(137,134) = HCF(682,137) = HCF(1501,682) = HCF(2183,1501) = HCF(3684,2183) = HCF(5867,3684) = HCF(9551,5867) .
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 9551, 5867?
Answer: HCF of 9551, 5867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9551, 5867 using Euclid's Algorithm?
Answer: For arbitrary numbers 9551, 5867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.