Highest Common Factor of 1141, 4959, 73589 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 1141, 4959, 73589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1141, 4959, 73589 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 1141, 4959, 73589 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 1141, 4959, 73589 is 1.
HCF(1141, 4959, 73589) = 1
HCF of 1141, 4959, 73589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1141, 4959, 73589 is 1.
Highest Common Factor of 1141,4959,73589 is 1
Step 1: Since 4959 > 1141, we apply the division lemma to 4959 and 1141, to get
4959 = 1141 x 4 + 395
Step 2: Since the reminder 1141 ≠ 0, we apply division lemma to 395 and 1141, to get
1141 = 395 x 2 + 351
Step 3: We consider the new divisor 395 and the new remainder 351, and apply the division lemma to get
395 = 351 x 1 + 44
We consider the new divisor 351 and the new remainder 44,and apply the division lemma to get
351 = 44 x 7 + 43
We consider the new divisor 44 and the new remainder 43,and apply the division lemma to get
44 = 43 x 1 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1141 and 4959 is 1
Notice that 1 = HCF(43,1) = HCF(44,43) = HCF(351,44) = HCF(395,351) = HCF(1141,395) = HCF(4959,1141) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 73589 > 1, we apply the division lemma to 73589 and 1, to get
73589 = 1 x 73589 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73589 is 1
Notice that 1 = HCF(73589,1) .
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Frequently Asked Questions on HCF of 1141, 4959, 73589 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 1141, 4959, 73589?
Answer: HCF of 1141, 4959, 73589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1141, 4959, 73589 using Euclid's Algorithm?
Answer: For arbitrary numbers 1141, 4959, 73589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.