Highest Common Factor of 7423, 8767, 97864 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 7423, 8767, 97864 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7423, 8767, 97864 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 7423, 8767, 97864 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 7423, 8767, 97864 is 1.
HCF(7423, 8767, 97864) = 1
HCF of 7423, 8767, 97864 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7423, 8767, 97864 is 1.
Highest Common Factor of 7423,8767,97864 is 1
Step 1: Since 8767 > 7423, we apply the division lemma to 8767 and 7423, to get
8767 = 7423 x 1 + 1344
Step 2: Since the reminder 7423 ≠ 0, we apply division lemma to 1344 and 7423, to get
7423 = 1344 x 5 + 703
Step 3: We consider the new divisor 1344 and the new remainder 703, and apply the division lemma to get
1344 = 703 x 1 + 641
We consider the new divisor 703 and the new remainder 641,and apply the division lemma to get
703 = 641 x 1 + 62
We consider the new divisor 641 and the new remainder 62,and apply the division lemma to get
641 = 62 x 10 + 21
We consider the new divisor 62 and the new remainder 21,and apply the division lemma to get
62 = 21 x 2 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7423 and 8767 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(62,21) = HCF(641,62) = HCF(703,641) = HCF(1344,703) = HCF(7423,1344) = HCF(8767,7423) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97864 > 1, we apply the division lemma to 97864 and 1, to get
97864 = 1 x 97864 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97864 is 1
Notice that 1 = HCF(97864,1) .
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Frequently Asked Questions on HCF of 7423, 8767, 97864 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 7423, 8767, 97864?
Answer: HCF of 7423, 8767, 97864 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7423, 8767, 97864 using Euclid's Algorithm?
Answer: For arbitrary numbers 7423, 8767, 97864 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
