Highest Common Factor of 889, 581 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 889, 581 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 889, 581 is 7 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 889, 581 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 889, 581 is 7.
HCF(889, 581) = 7
HCF of 889, 581 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 889, 581 is 7.
Highest Common Factor of 889,581 is 7
Step 1: Since 889 > 581, we apply the division lemma to 889 and 581, to get
889 = 581 x 1 + 308
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 308 and 581, to get
581 = 308 x 1 + 273
Step 3: We consider the new divisor 308 and the new remainder 273, and apply the division lemma to get
308 = 273 x 1 + 35
We consider the new divisor 273 and the new remainder 35,and apply the division lemma to get
273 = 35 x 7 + 28
We consider the new divisor 35 and the new remainder 28,and apply the division lemma to get
35 = 28 x 1 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 889 and 581 is 7
Notice that 7 = HCF(28,7) = HCF(35,28) = HCF(273,35) = HCF(308,273) = HCF(581,308) = HCF(889,581) .
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Frequently Asked Questions on HCF of 889, 581 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 889, 581?
Answer: HCF of 889, 581 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 889, 581 using Euclid's Algorithm?
Answer: For arbitrary numbers 889, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.