Highest Common Factor of 9061, 1932 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 9061, 1932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9061, 1932 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 9061, 1932 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 9061, 1932 is 1.
HCF(9061, 1932) = 1
HCF of 9061, 1932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9061, 1932 is 1.
Highest Common Factor of 9061,1932 is 1
Step 1: Since 9061 > 1932, we apply the division lemma to 9061 and 1932, to get
9061 = 1932 x 4 + 1333
Step 2: Since the reminder 1932 ≠ 0, we apply division lemma to 1333 and 1932, to get
1932 = 1333 x 1 + 599
Step 3: We consider the new divisor 1333 and the new remainder 599, and apply the division lemma to get
1333 = 599 x 2 + 135
We consider the new divisor 599 and the new remainder 135,and apply the division lemma to get
599 = 135 x 4 + 59
We consider the new divisor 135 and the new remainder 59,and apply the division lemma to get
135 = 59 x 2 + 17
We consider the new divisor 59 and the new remainder 17,and apply the division lemma to get
59 = 17 x 3 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9061 and 1932 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(59,17) = HCF(135,59) = HCF(599,135) = HCF(1333,599) = HCF(1932,1333) = HCF(9061,1932) .
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Frequently Asked Questions on HCF of 9061, 1932 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 9061, 1932?
Answer: HCF of 9061, 1932 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9061, 1932 using Euclid's Algorithm?
Answer: For arbitrary numbers 9061, 1932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.