Highest Common Factor of 3238, 5708 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 3238, 5708 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3238, 5708 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 3238, 5708 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 3238, 5708 is 2.
HCF(3238, 5708) = 2
HCF of 3238, 5708 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3238, 5708 is 2.
Highest Common Factor of 3238,5708 is 2
Step 1: Since 5708 > 3238, we apply the division lemma to 5708 and 3238, to get
5708 = 3238 x 1 + 2470
Step 2: Since the reminder 3238 ≠ 0, we apply division lemma to 2470 and 3238, to get
3238 = 2470 x 1 + 768
Step 3: We consider the new divisor 2470 and the new remainder 768, and apply the division lemma to get
2470 = 768 x 3 + 166
We consider the new divisor 768 and the new remainder 166,and apply the division lemma to get
768 = 166 x 4 + 104
We consider the new divisor 166 and the new remainder 104,and apply the division lemma to get
166 = 104 x 1 + 62
We consider the new divisor 104 and the new remainder 62,and apply the division lemma to get
104 = 62 x 1 + 42
We consider the new divisor 62 and the new remainder 42,and apply the division lemma to get
62 = 42 x 1 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3238 and 5708 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(62,42) = HCF(104,62) = HCF(166,104) = HCF(768,166) = HCF(2470,768) = HCF(3238,2470) = HCF(5708,3238) .
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Frequently Asked Questions on HCF of 3238, 5708 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 3238, 5708?
Answer: HCF of 3238, 5708 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3238, 5708 using Euclid's Algorithm?
Answer: For arbitrary numbers 3238, 5708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.