Highest Common Factor of 5234, 8682 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 5234, 8682 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5234, 8682 is 2 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 5234, 8682 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 5234, 8682 is 2.
HCF(5234, 8682) = 2
HCF of 5234, 8682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5234, 8682 is 2.
Highest Common Factor of 5234,8682 is 2
Step 1: Since 8682 > 5234, we apply the division lemma to 8682 and 5234, to get
8682 = 5234 x 1 + 3448
Step 2: Since the reminder 5234 ≠ 0, we apply division lemma to 3448 and 5234, to get
5234 = 3448 x 1 + 1786
Step 3: We consider the new divisor 3448 and the new remainder 1786, and apply the division lemma to get
3448 = 1786 x 1 + 1662
We consider the new divisor 1786 and the new remainder 1662,and apply the division lemma to get
1786 = 1662 x 1 + 124
We consider the new divisor 1662 and the new remainder 124,and apply the division lemma to get
1662 = 124 x 13 + 50
We consider the new divisor 124 and the new remainder 50,and apply the division lemma to get
124 = 50 x 2 + 24
We consider the new divisor 50 and the new remainder 24,and apply the division lemma to get
50 = 24 x 2 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5234 and 8682 is 2
Notice that 2 = HCF(24,2) = HCF(50,24) = HCF(124,50) = HCF(1662,124) = HCF(1786,1662) = HCF(3448,1786) = HCF(5234,3448) = HCF(8682,5234) .
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Frequently Asked Questions on HCF of 5234, 8682 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 5234, 8682?
Answer: HCF of 5234, 8682 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5234, 8682 using Euclid's Algorithm?
Answer: For arbitrary numbers 5234, 8682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.