Highest Common Factor of 879, 36487 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 879, 36487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 879, 36487 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 879, 36487 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 879, 36487 is 1.
HCF(879, 36487) = 1
HCF of 879, 36487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 879, 36487 is 1.
Highest Common Factor of 879,36487 is 1
Step 1: Since 36487 > 879, we apply the division lemma to 36487 and 879, to get
36487 = 879 x 41 + 448
Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 448 and 879, to get
879 = 448 x 1 + 431
Step 3: We consider the new divisor 448 and the new remainder 431, and apply the division lemma to get
448 = 431 x 1 + 17
We consider the new divisor 431 and the new remainder 17,and apply the division lemma to get
431 = 17 x 25 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 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 879 and 36487 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(431,17) = HCF(448,431) = HCF(879,448) = HCF(36487,879) .
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Frequently Asked Questions on HCF of 879, 36487 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 879, 36487?
Answer: HCF of 879, 36487 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 879, 36487 using Euclid's Algorithm?
Answer: For arbitrary numbers 879, 36487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
