Highest Common Factor of 989, 9131, 4011 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 989, 9131, 4011 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 989, 9131, 4011 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 989, 9131, 4011 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 989, 9131, 4011 is 1.
HCF(989, 9131, 4011) = 1
HCF of 989, 9131, 4011 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 989, 9131, 4011 is 1.
Highest Common Factor of 989,9131,4011 is 1
Step 1: Since 9131 > 989, we apply the division lemma to 9131 and 989, to get
9131 = 989 x 9 + 230
Step 2: Since the reminder 989 ≠ 0, we apply division lemma to 230 and 989, to get
989 = 230 x 4 + 69
Step 3: We consider the new divisor 230 and the new remainder 69, and apply the division lemma to get
230 = 69 x 3 + 23
We consider the new divisor 69 and the new remainder 23, and apply the division lemma to get
69 = 23 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 989 and 9131 is 23
Notice that 23 = HCF(69,23) = HCF(230,69) = HCF(989,230) = HCF(9131,989) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4011 > 23, we apply the division lemma to 4011 and 23, to get
4011 = 23 x 174 + 9
Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 9 and 23, to get
23 = 9 x 2 + 5
Step 3: We consider the new divisor 9 and the new remainder 5, and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 23 and 4011 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(4011,23) .
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Frequently Asked Questions on HCF of 989, 9131, 4011 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 989, 9131, 4011?
Answer: HCF of 989, 9131, 4011 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 989, 9131, 4011 using Euclid's Algorithm?
Answer: For arbitrary numbers 989, 9131, 4011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.