Highest Common Factor of 990, 581, 84 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 990, 581, 84 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 990, 581, 84 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 990, 581, 84 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 990, 581, 84 is 1.
HCF(990, 581, 84) = 1
HCF of 990, 581, 84 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 990, 581, 84 is 1.
Highest Common Factor of 990,581,84 is 1
Step 1: Since 990 > 581, we apply the division lemma to 990 and 581, to get
990 = 581 x 1 + 409
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 409 and 581, to get
581 = 409 x 1 + 172
Step 3: We consider the new divisor 409 and the new remainder 172, and apply the division lemma to get
409 = 172 x 2 + 65
We consider the new divisor 172 and the new remainder 65,and apply the division lemma to get
172 = 65 x 2 + 42
We consider the new divisor 65 and the new remainder 42,and apply the division lemma to get
65 = 42 x 1 + 23
We consider the new divisor 42 and the new remainder 23,and apply the division lemma to get
42 = 23 x 1 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 990 and 581 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(42,23) = HCF(65,42) = HCF(172,65) = HCF(409,172) = HCF(581,409) = HCF(990,581) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 84 > 1, we apply the division lemma to 84 and 1, to get
84 = 1 x 84 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84 is 1
Notice that 1 = HCF(84,1) .
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Frequently Asked Questions on HCF of 990, 581, 84 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 990, 581, 84?
Answer: HCF of 990, 581, 84 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 990, 581, 84 using Euclid's Algorithm?
Answer: For arbitrary numbers 990, 581, 84 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
