Highest Common Factor of 905, 964, 26 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 905, 964, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 905, 964, 26 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 905, 964, 26 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 905, 964, 26 is 1.
HCF(905, 964, 26) = 1
HCF of 905, 964, 26 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 905, 964, 26 is 1.
Highest Common Factor of 905,964,26 is 1
Step 1: Since 964 > 905, we apply the division lemma to 964 and 905, to get
964 = 905 x 1 + 59
Step 2: Since the reminder 905 ≠ 0, we apply division lemma to 59 and 905, to get
905 = 59 x 15 + 20
Step 3: We consider the new divisor 59 and the new remainder 20, and apply the division lemma to get
59 = 20 x 2 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 905 and 964 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(59,20) = HCF(905,59) = HCF(964,905) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26 > 1, we apply the division lemma to 26 and 1, to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26 is 1
Notice that 1 = HCF(26,1) .
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Frequently Asked Questions on HCF of 905, 964, 26 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 905, 964, 26?
Answer: HCF of 905, 964, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 905, 964, 26 using Euclid's Algorithm?
Answer: For arbitrary numbers 905, 964, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.