Highest Common Factor of 8356, 1559 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 8356, 1559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8356, 1559 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 8356, 1559 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 8356, 1559 is 1.
HCF(8356, 1559) = 1
HCF of 8356, 1559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8356, 1559 is 1.
Highest Common Factor of 8356,1559 is 1
Step 1: Since 8356 > 1559, we apply the division lemma to 8356 and 1559, to get
8356 = 1559 x 5 + 561
Step 2: Since the reminder 1559 ≠ 0, we apply division lemma to 561 and 1559, to get
1559 = 561 x 2 + 437
Step 3: We consider the new divisor 561 and the new remainder 437, and apply the division lemma to get
561 = 437 x 1 + 124
We consider the new divisor 437 and the new remainder 124,and apply the division lemma to get
437 = 124 x 3 + 65
We consider the new divisor 124 and the new remainder 65,and apply the division lemma to get
124 = 65 x 1 + 59
We consider the new divisor 65 and the new remainder 59,and apply the division lemma to get
65 = 59 x 1 + 6
We consider the new divisor 59 and the new remainder 6,and apply the division lemma to get
59 = 6 x 9 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8356 and 1559 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(59,6) = HCF(65,59) = HCF(124,65) = HCF(437,124) = HCF(561,437) = HCF(1559,561) = HCF(8356,1559) .
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Frequently Asked Questions on HCF of 8356, 1559 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 8356, 1559?
Answer: HCF of 8356, 1559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8356, 1559 using Euclid's Algorithm?
Answer: For arbitrary numbers 8356, 1559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
