Highest Common Factor of 8565, 5922 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 8565, 5922 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8565, 5922 is 3 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 8565, 5922 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 8565, 5922 is 3.
HCF(8565, 5922) = 3
HCF of 8565, 5922 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8565, 5922 is 3.
Highest Common Factor of 8565,5922 is 3
Step 1: Since 8565 > 5922, we apply the division lemma to 8565 and 5922, to get
8565 = 5922 x 1 + 2643
Step 2: Since the reminder 5922 ≠ 0, we apply division lemma to 2643 and 5922, to get
5922 = 2643 x 2 + 636
Step 3: We consider the new divisor 2643 and the new remainder 636, and apply the division lemma to get
2643 = 636 x 4 + 99
We consider the new divisor 636 and the new remainder 99,and apply the division lemma to get
636 = 99 x 6 + 42
We consider the new divisor 99 and the new remainder 42,and apply the division lemma to get
99 = 42 x 2 + 15
We consider the new divisor 42 and the new remainder 15,and apply the division lemma to get
42 = 15 x 2 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8565 and 5922 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(42,15) = HCF(99,42) = HCF(636,99) = HCF(2643,636) = HCF(5922,2643) = HCF(8565,5922) .
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Frequently Asked Questions on HCF of 8565, 5922 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 8565, 5922?
Answer: HCF of 8565, 5922 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8565, 5922 using Euclid's Algorithm?
Answer: For arbitrary numbers 8565, 5922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.