Highest Common Factor of 1936, 5033 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 1936, 5033 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1936, 5033 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 1936, 5033 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 1936, 5033 is 1.
HCF(1936, 5033) = 1
HCF of 1936, 5033 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1936, 5033 is 1.
Highest Common Factor of 1936,5033 is 1
Step 1: Since 5033 > 1936, we apply the division lemma to 5033 and 1936, to get
5033 = 1936 x 2 + 1161
Step 2: Since the reminder 1936 ≠ 0, we apply division lemma to 1161 and 1936, to get
1936 = 1161 x 1 + 775
Step 3: We consider the new divisor 1161 and the new remainder 775, and apply the division lemma to get
1161 = 775 x 1 + 386
We consider the new divisor 775 and the new remainder 386,and apply the division lemma to get
775 = 386 x 2 + 3
We consider the new divisor 386 and the new remainder 3,and apply the division lemma to get
386 = 3 x 128 + 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 1936 and 5033 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(386,3) = HCF(775,386) = HCF(1161,775) = HCF(1936,1161) = HCF(5033,1936) .
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Frequently Asked Questions on HCF of 1936, 5033 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 1936, 5033?
Answer: HCF of 1936, 5033 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1936, 5033 using Euclid's Algorithm?
Answer: For arbitrary numbers 1936, 5033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
