Highest Common Factor of 1189, 8933, 75463 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 1189, 8933, 75463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1189, 8933, 75463 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 1189, 8933, 75463 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 1189, 8933, 75463 is 1.
HCF(1189, 8933, 75463) = 1
HCF of 1189, 8933, 75463 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1189, 8933, 75463 is 1.
Highest Common Factor of 1189,8933,75463 is 1
Step 1: Since 8933 > 1189, we apply the division lemma to 8933 and 1189, to get
8933 = 1189 x 7 + 610
Step 2: Since the reminder 1189 ≠ 0, we apply division lemma to 610 and 1189, to get
1189 = 610 x 1 + 579
Step 3: We consider the new divisor 610 and the new remainder 579, and apply the division lemma to get
610 = 579 x 1 + 31
We consider the new divisor 579 and the new remainder 31,and apply the division lemma to get
579 = 31 x 18 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1189 and 8933 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(579,31) = HCF(610,579) = HCF(1189,610) = HCF(8933,1189) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 75463 > 1, we apply the division lemma to 75463 and 1, to get
75463 = 1 x 75463 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75463 is 1
Notice that 1 = HCF(75463,1) .
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Frequently Asked Questions on HCF of 1189, 8933, 75463 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 1189, 8933, 75463?
Answer: HCF of 1189, 8933, 75463 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1189, 8933, 75463 using Euclid's Algorithm?
Answer: For arbitrary numbers 1189, 8933, 75463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.