Highest Common Factor of 584, 945, 823 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 584, 945, 823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 584, 945, 823 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 584, 945, 823 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 584, 945, 823 is 1.
HCF(584, 945, 823) = 1
HCF of 584, 945, 823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 584, 945, 823 is 1.
Highest Common Factor of 584,945,823 is 1
Step 1: Since 945 > 584, we apply the division lemma to 945 and 584, to get
945 = 584 x 1 + 361
Step 2: Since the reminder 584 ≠ 0, we apply division lemma to 361 and 584, to get
584 = 361 x 1 + 223
Step 3: We consider the new divisor 361 and the new remainder 223, and apply the division lemma to get
361 = 223 x 1 + 138
We consider the new divisor 223 and the new remainder 138,and apply the division lemma to get
223 = 138 x 1 + 85
We consider the new divisor 138 and the new remainder 85,and apply the division lemma to get
138 = 85 x 1 + 53
We consider the new divisor 85 and the new remainder 53,and apply the division lemma to get
85 = 53 x 1 + 32
We consider the new divisor 53 and the new remainder 32,and apply the division lemma to get
53 = 32 x 1 + 21
We consider the new divisor 32 and the new remainder 21,and apply the division lemma to get
32 = 21 x 1 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 584 and 945 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(32,21) = HCF(53,32) = HCF(85,53) = HCF(138,85) = HCF(223,138) = HCF(361,223) = HCF(584,361) = HCF(945,584) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 823 > 1, we apply the division lemma to 823 and 1, to get
823 = 1 x 823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 823 is 1
Notice that 1 = HCF(823,1) .
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Frequently Asked Questions on HCF of 584, 945, 823 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 584, 945, 823?
Answer: HCF of 584, 945, 823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 584, 945, 823 using Euclid's Algorithm?
Answer: For arbitrary numbers 584, 945, 823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.