Highest Common Factor of 5242, 3867 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 5242, 3867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5242, 3867 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 5242, 3867 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 5242, 3867 is 1.
HCF(5242, 3867) = 1
HCF of 5242, 3867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5242, 3867 is 1.
Highest Common Factor of 5242,3867 is 1
Step 1: Since 5242 > 3867, we apply the division lemma to 5242 and 3867, to get
5242 = 3867 x 1 + 1375
Step 2: Since the reminder 3867 ≠ 0, we apply division lemma to 1375 and 3867, to get
3867 = 1375 x 2 + 1117
Step 3: We consider the new divisor 1375 and the new remainder 1117, and apply the division lemma to get
1375 = 1117 x 1 + 258
We consider the new divisor 1117 and the new remainder 258,and apply the division lemma to get
1117 = 258 x 4 + 85
We consider the new divisor 258 and the new remainder 85,and apply the division lemma to get
258 = 85 x 3 + 3
We consider the new divisor 85 and the new remainder 3,and apply the division lemma to get
85 = 3 x 28 + 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 5242 and 3867 is 1
Notice that 1 = HCF(3,1) = HCF(85,3) = HCF(258,85) = HCF(1117,258) = HCF(1375,1117) = HCF(3867,1375) = HCF(5242,3867) .
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Frequently Asked Questions on HCF of 5242, 3867 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 5242, 3867?
Answer: HCF of 5242, 3867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5242, 3867 using Euclid's Algorithm?
Answer: For arbitrary numbers 5242, 3867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.