Highest Common Factor of 4120, 5993 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 4120, 5993 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4120, 5993 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 4120, 5993 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 4120, 5993 is 1.
HCF(4120, 5993) = 1
HCF of 4120, 5993 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4120, 5993 is 1.
Highest Common Factor of 4120,5993 is 1
Step 1: Since 5993 > 4120, we apply the division lemma to 5993 and 4120, to get
5993 = 4120 x 1 + 1873
Step 2: Since the reminder 4120 ≠ 0, we apply division lemma to 1873 and 4120, to get
4120 = 1873 x 2 + 374
Step 3: We consider the new divisor 1873 and the new remainder 374, and apply the division lemma to get
1873 = 374 x 5 + 3
We consider the new divisor 374 and the new remainder 3,and apply the division lemma to get
374 = 3 x 124 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4120 and 5993 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(374,3) = HCF(1873,374) = HCF(4120,1873) = HCF(5993,4120) .
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Frequently Asked Questions on HCF of 4120, 5993 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 4120, 5993?
Answer: HCF of 4120, 5993 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4120, 5993 using Euclid's Algorithm?
Answer: For arbitrary numbers 4120, 5993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.