Highest Common Factor of 5708, 4688 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 5708, 4688 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5708, 4688 is 4 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 5708, 4688 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 5708, 4688 is 4.
HCF(5708, 4688) = 4
HCF of 5708, 4688 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5708, 4688 is 4.
Highest Common Factor of 5708,4688 is 4
Step 1: Since 5708 > 4688, we apply the division lemma to 5708 and 4688, to get
5708 = 4688 x 1 + 1020
Step 2: Since the reminder 4688 ≠ 0, we apply division lemma to 1020 and 4688, to get
4688 = 1020 x 4 + 608
Step 3: We consider the new divisor 1020 and the new remainder 608, and apply the division lemma to get
1020 = 608 x 1 + 412
We consider the new divisor 608 and the new remainder 412,and apply the division lemma to get
608 = 412 x 1 + 196
We consider the new divisor 412 and the new remainder 196,and apply the division lemma to get
412 = 196 x 2 + 20
We consider the new divisor 196 and the new remainder 20,and apply the division lemma to get
196 = 20 x 9 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5708 and 4688 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(196,20) = HCF(412,196) = HCF(608,412) = HCF(1020,608) = HCF(4688,1020) = HCF(5708,4688) .
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Frequently Asked Questions on HCF of 5708, 4688 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 5708, 4688?
Answer: HCF of 5708, 4688 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5708, 4688 using Euclid's Algorithm?
Answer: For arbitrary numbers 5708, 4688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.