Highest Common Factor of 845, 923, 40 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 845, 923, 40 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 845, 923, 40 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 845, 923, 40 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 845, 923, 40 is 1.
HCF(845, 923, 40) = 1
HCF of 845, 923, 40 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 845, 923, 40 is 1.
Highest Common Factor of 845,923,40 is 1
Step 1: Since 923 > 845, we apply the division lemma to 923 and 845, to get
923 = 845 x 1 + 78
Step 2: Since the reminder 845 ≠ 0, we apply division lemma to 78 and 845, to get
845 = 78 x 10 + 65
Step 3: We consider the new divisor 78 and the new remainder 65, and apply the division lemma to get
78 = 65 x 1 + 13
We consider the new divisor 65 and the new remainder 13, and apply the division lemma to get
65 = 13 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 845 and 923 is 13
Notice that 13 = HCF(65,13) = HCF(78,65) = HCF(845,78) = HCF(923,845) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 40 > 13, we apply the division lemma to 40 and 13, to get
40 = 13 x 3 + 1
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 1 and 13, to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 40 is 1
Notice that 1 = HCF(13,1) = HCF(40,13) .
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Frequently Asked Questions on HCF of 845, 923, 40 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 845, 923, 40?
Answer: HCF of 845, 923, 40 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 845, 923, 40 using Euclid's Algorithm?
Answer: For arbitrary numbers 845, 923, 40 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.