Highest Common Factor of 946, 9161 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 946, 9161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 946, 9161 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 946, 9161 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 946, 9161 is 1.
HCF(946, 9161) = 1
HCF of 946, 9161 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 946, 9161 is 1.
Highest Common Factor of 946,9161 is 1
Step 1: Since 9161 > 946, we apply the division lemma to 9161 and 946, to get
9161 = 946 x 9 + 647
Step 2: Since the reminder 946 ≠ 0, we apply division lemma to 647 and 946, to get
946 = 647 x 1 + 299
Step 3: We consider the new divisor 647 and the new remainder 299, and apply the division lemma to get
647 = 299 x 2 + 49
We consider the new divisor 299 and the new remainder 49,and apply the division lemma to get
299 = 49 x 6 + 5
We consider the new divisor 49 and the new remainder 5,and apply the division lemma to get
49 = 5 x 9 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 946 and 9161 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(49,5) = HCF(299,49) = HCF(647,299) = HCF(946,647) = HCF(9161,946) .
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Frequently Asked Questions on HCF of 946, 9161 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 946, 9161?
Answer: HCF of 946, 9161 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 946, 9161 using Euclid's Algorithm?
Answer: For arbitrary numbers 946, 9161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.