Highest Common Factor of 5033, 1879, 96407 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 5033, 1879, 96407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5033, 1879, 96407 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 5033, 1879, 96407 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 5033, 1879, 96407 is 1.
HCF(5033, 1879, 96407) = 1
HCF of 5033, 1879, 96407 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5033, 1879, 96407 is 1.
Highest Common Factor of 5033,1879,96407 is 1
Step 1: Since 5033 > 1879, we apply the division lemma to 5033 and 1879, to get
5033 = 1879 x 2 + 1275
Step 2: Since the reminder 1879 ≠ 0, we apply division lemma to 1275 and 1879, to get
1879 = 1275 x 1 + 604
Step 3: We consider the new divisor 1275 and the new remainder 604, and apply the division lemma to get
1275 = 604 x 2 + 67
We consider the new divisor 604 and the new remainder 67,and apply the division lemma to get
604 = 67 x 9 + 1
We consider the new divisor 67 and the new remainder 1,and apply the division lemma to get
67 = 1 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5033 and 1879 is 1
Notice that 1 = HCF(67,1) = HCF(604,67) = HCF(1275,604) = HCF(1879,1275) = HCF(5033,1879) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96407 > 1, we apply the division lemma to 96407 and 1, to get
96407 = 1 x 96407 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96407 is 1
Notice that 1 = HCF(96407,1) .
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Frequently Asked Questions on HCF of 5033, 1879, 96407 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 5033, 1879, 96407?
Answer: HCF of 5033, 1879, 96407 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5033, 1879, 96407 using Euclid's Algorithm?
Answer: For arbitrary numbers 5033, 1879, 96407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.