Highest Common Factor of 1536, 8615 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 1536, 8615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1536, 8615 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 1536, 8615 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 1536, 8615 is 1.
HCF(1536, 8615) = 1
HCF of 1536, 8615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1536, 8615 is 1.
Highest Common Factor of 1536,8615 is 1
Step 1: Since 8615 > 1536, we apply the division lemma to 8615 and 1536, to get
8615 = 1536 x 5 + 935
Step 2: Since the reminder 1536 ≠ 0, we apply division lemma to 935 and 1536, to get
1536 = 935 x 1 + 601
Step 3: We consider the new divisor 935 and the new remainder 601, and apply the division lemma to get
935 = 601 x 1 + 334
We consider the new divisor 601 and the new remainder 334,and apply the division lemma to get
601 = 334 x 1 + 267
We consider the new divisor 334 and the new remainder 267,and apply the division lemma to get
334 = 267 x 1 + 67
We consider the new divisor 267 and the new remainder 67,and apply the division lemma to get
267 = 67 x 3 + 66
We consider the new divisor 67 and the new remainder 66,and apply the division lemma to get
67 = 66 x 1 + 1
We consider the new divisor 66 and the new remainder 1,and apply the division lemma to get
66 = 1 x 66 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1536 and 8615 is 1
Notice that 1 = HCF(66,1) = HCF(67,66) = HCF(267,67) = HCF(334,267) = HCF(601,334) = HCF(935,601) = HCF(1536,935) = HCF(8615,1536) .
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Frequently Asked Questions on HCF of 1536, 8615 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 1536, 8615?
Answer: HCF of 1536, 8615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1536, 8615 using Euclid's Algorithm?
Answer: For arbitrary numbers 1536, 8615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.