Highest Common Factor of 869, 99584 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 869, 99584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 869, 99584 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 869, 99584 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 869, 99584 is 1.
HCF(869, 99584) = 1
HCF of 869, 99584 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 869, 99584 is 1.
Highest Common Factor of 869,99584 is 1
Step 1: Since 99584 > 869, we apply the division lemma to 99584 and 869, to get
99584 = 869 x 114 + 518
Step 2: Since the reminder 869 ≠ 0, we apply division lemma to 518 and 869, to get
869 = 518 x 1 + 351
Step 3: We consider the new divisor 518 and the new remainder 351, and apply the division lemma to get
518 = 351 x 1 + 167
We consider the new divisor 351 and the new remainder 167,and apply the division lemma to get
351 = 167 x 2 + 17
We consider the new divisor 167 and the new remainder 17,and apply the division lemma to get
167 = 17 x 9 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 869 and 99584 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(167,17) = HCF(351,167) = HCF(518,351) = HCF(869,518) = HCF(99584,869) .
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Frequently Asked Questions on HCF of 869, 99584 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 869, 99584?
Answer: HCF of 869, 99584 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 869, 99584 using Euclid's Algorithm?
Answer: For arbitrary numbers 869, 99584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.