Highest Common Factor of 9512, 1867 using Euclid's algorithm
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 9512, 1867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9512, 1867 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 9512, 1867 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 9512, 1867 is 1.
HCF(9512, 1867) = 1
HCF of 9512, 1867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9512, 1867 is 1.
Highest Common Factor of 9512,1867 is 1
Step 1: Since 9512 > 1867, we apply the division lemma to 9512 and 1867, to get
9512 = 1867 x 5 + 177
Step 2: Since the reminder 1867 ≠ 0, we apply division lemma to 177 and 1867, to get
1867 = 177 x 10 + 97
Step 3: We consider the new divisor 177 and the new remainder 97, and apply the division lemma to get
177 = 97 x 1 + 80
We consider the new divisor 97 and the new remainder 80,and apply the division lemma to get
97 = 80 x 1 + 17
We consider the new divisor 80 and the new remainder 17,and apply the division lemma to get
80 = 17 x 4 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 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 9512 and 1867 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(80,17) = HCF(97,80) = HCF(177,97) = HCF(1867,177) = HCF(9512,1867) .
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Frequently Asked Questions on HCF of 9512, 1867 using Euclid's Algorithm
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 9512, 1867?
Answer: HCF of 9512, 1867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9512, 1867 using Euclid's Algorithm?
Answer: For arbitrary numbers 9512, 1867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.