Highest Common Factor of 926, 22961 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 926, 22961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 926, 22961 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 926, 22961 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 926, 22961 is 1.
HCF(926, 22961) = 1
HCF of 926, 22961 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 926, 22961 is 1.
Highest Common Factor of 926,22961 is 1
Step 1: Since 22961 > 926, we apply the division lemma to 22961 and 926, to get
22961 = 926 x 24 + 737
Step 2: Since the reminder 926 ≠ 0, we apply division lemma to 737 and 926, to get
926 = 737 x 1 + 189
Step 3: We consider the new divisor 737 and the new remainder 189, and apply the division lemma to get
737 = 189 x 3 + 170
We consider the new divisor 189 and the new remainder 170,and apply the division lemma to get
189 = 170 x 1 + 19
We consider the new divisor 170 and the new remainder 19,and apply the division lemma to get
170 = 19 x 8 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 926 and 22961 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(170,19) = HCF(189,170) = HCF(737,189) = HCF(926,737) = HCF(22961,926) .
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Frequently Asked Questions on HCF of 926, 22961 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 926, 22961?
Answer: HCF of 926, 22961 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 926, 22961 using Euclid's Algorithm?
Answer: For arbitrary numbers 926, 22961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.