Highest Common Factor of 920, 9461 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 920, 9461 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 920, 9461 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 920, 9461 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 920, 9461 is 1.
HCF(920, 9461) = 1
HCF of 920, 9461 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 920, 9461 is 1.
Highest Common Factor of 920,9461 is 1
Step 1: Since 9461 > 920, we apply the division lemma to 9461 and 920, to get
9461 = 920 x 10 + 261
Step 2: Since the reminder 920 ≠ 0, we apply division lemma to 261 and 920, to get
920 = 261 x 3 + 137
Step 3: We consider the new divisor 261 and the new remainder 137, and apply the division lemma to get
261 = 137 x 1 + 124
We consider the new divisor 137 and the new remainder 124,and apply the division lemma to get
137 = 124 x 1 + 13
We consider the new divisor 124 and the new remainder 13,and apply the division lemma to get
124 = 13 x 9 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 920 and 9461 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(124,13) = HCF(137,124) = HCF(261,137) = HCF(920,261) = HCF(9461,920) .
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Frequently Asked Questions on HCF of 920, 9461 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 920, 9461?
Answer: HCF of 920, 9461 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 920, 9461 using Euclid's Algorithm?
Answer: For arbitrary numbers 920, 9461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.