Highest Common Factor of 5935, 3902 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 5935, 3902 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5935, 3902 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 5935, 3902 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 5935, 3902 is 1.
HCF(5935, 3902) = 1
HCF of 5935, 3902 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5935, 3902 is 1.
Highest Common Factor of 5935,3902 is 1
Step 1: Since 5935 > 3902, we apply the division lemma to 5935 and 3902, to get
5935 = 3902 x 1 + 2033
Step 2: Since the reminder 3902 ≠ 0, we apply division lemma to 2033 and 3902, to get
3902 = 2033 x 1 + 1869
Step 3: We consider the new divisor 2033 and the new remainder 1869, and apply the division lemma to get
2033 = 1869 x 1 + 164
We consider the new divisor 1869 and the new remainder 164,and apply the division lemma to get
1869 = 164 x 11 + 65
We consider the new divisor 164 and the new remainder 65,and apply the division lemma to get
164 = 65 x 2 + 34
We consider the new divisor 65 and the new remainder 34,and apply the division lemma to get
65 = 34 x 1 + 31
We consider the new divisor 34 and the new remainder 31,and apply the division lemma to get
34 = 31 x 1 + 3
We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get
31 = 3 x 10 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5935 and 3902 is 1
Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(34,31) = HCF(65,34) = HCF(164,65) = HCF(1869,164) = HCF(2033,1869) = HCF(3902,2033) = HCF(5935,3902) .
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Frequently Asked Questions on HCF of 5935, 3902 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 5935, 3902?
Answer: HCF of 5935, 3902 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5935, 3902 using Euclid's Algorithm?
Answer: For arbitrary numbers 5935, 3902 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.