Highest Common Factor of 984, 624, 623 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 984, 624, 623 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 984, 624, 623 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 984, 624, 623 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 984, 624, 623 is 1.
HCF(984, 624, 623) = 1
HCF of 984, 624, 623 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 984, 624, 623 is 1.
Highest Common Factor of 984,624,623 is 1
Step 1: Since 984 > 624, we apply the division lemma to 984 and 624, to get
984 = 624 x 1 + 360
Step 2: Since the reminder 624 ≠ 0, we apply division lemma to 360 and 624, to get
624 = 360 x 1 + 264
Step 3: We consider the new divisor 360 and the new remainder 264, and apply the division lemma to get
360 = 264 x 1 + 96
We consider the new divisor 264 and the new remainder 96,and apply the division lemma to get
264 = 96 x 2 + 72
We consider the new divisor 96 and the new remainder 72,and apply the division lemma to get
96 = 72 x 1 + 24
We consider the new divisor 72 and the new remainder 24,and apply the division lemma to get
72 = 24 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 984 and 624 is 24
Notice that 24 = HCF(72,24) = HCF(96,72) = HCF(264,96) = HCF(360,264) = HCF(624,360) = HCF(984,624) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 623 > 24, we apply the division lemma to 623 and 24, to get
623 = 24 x 25 + 23
Step 2: Since the reminder 24 ≠ 0, we apply division lemma to 23 and 24, to get
24 = 23 x 1 + 1
Step 3: We consider the new divisor 23 and the new remainder 1, and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 24 and 623 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(623,24) .
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Frequently Asked Questions on HCF of 984, 624, 623 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 984, 624, 623?
Answer: HCF of 984, 624, 623 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 984, 624, 623 using Euclid's Algorithm?
Answer: For arbitrary numbers 984, 624, 623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
