Highest Common Factor of 5898, 3174 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 5898, 3174 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5898, 3174 is 6 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 5898, 3174 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 5898, 3174 is 6.
HCF(5898, 3174) = 6
HCF of 5898, 3174 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5898, 3174 is 6.
Highest Common Factor of 5898,3174 is 6
Step 1: Since 5898 > 3174, we apply the division lemma to 5898 and 3174, to get
5898 = 3174 x 1 + 2724
Step 2: Since the reminder 3174 ≠ 0, we apply division lemma to 2724 and 3174, to get
3174 = 2724 x 1 + 450
Step 3: We consider the new divisor 2724 and the new remainder 450, and apply the division lemma to get
2724 = 450 x 6 + 24
We consider the new divisor 450 and the new remainder 24,and apply the division lemma to get
450 = 24 x 18 + 18
We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get
24 = 18 x 1 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5898 and 3174 is 6
Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(450,24) = HCF(2724,450) = HCF(3174,2724) = HCF(5898,3174) .
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Frequently Asked Questions on HCF of 5898, 3174 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 5898, 3174?
Answer: HCF of 5898, 3174 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5898, 3174 using Euclid's Algorithm?
Answer: For arbitrary numbers 5898, 3174 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.