Highest Common Factor of 8659, 1224 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 8659, 1224 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8659, 1224 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 8659, 1224 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 8659, 1224 is 1.
HCF(8659, 1224) = 1
HCF of 8659, 1224 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8659, 1224 is 1.
Highest Common Factor of 8659,1224 is 1
Step 1: Since 8659 > 1224, we apply the division lemma to 8659 and 1224, to get
8659 = 1224 x 7 + 91
Step 2: Since the reminder 1224 ≠ 0, we apply division lemma to 91 and 1224, to get
1224 = 91 x 13 + 41
Step 3: We consider the new divisor 91 and the new remainder 41, and apply the division lemma to get
91 = 41 x 2 + 9
We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get
41 = 9 x 4 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8659 and 1224 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(91,41) = HCF(1224,91) = HCF(8659,1224) .
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Frequently Asked Questions on HCF of 8659, 1224 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 8659, 1224?
Answer: HCF of 8659, 1224 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8659, 1224 using Euclid's Algorithm?
Answer: For arbitrary numbers 8659, 1224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.