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 3214, 5898 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3214, 5898 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 3214, 5898 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 3214, 5898 is 2.
HCF(3214, 5898) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3214, 5898 is 2.
Step 1: Since 5898 > 3214, we apply the division lemma to 5898 and 3214, to get
5898 = 3214 x 1 + 2684
Step 2: Since the reminder 3214 ≠ 0, we apply division lemma to 2684 and 3214, to get
3214 = 2684 x 1 + 530
Step 3: We consider the new divisor 2684 and the new remainder 530, and apply the division lemma to get
2684 = 530 x 5 + 34
We consider the new divisor 530 and the new remainder 34,and apply the division lemma to get
530 = 34 x 15 + 20
We consider the new divisor 34 and the new remainder 20,and apply the division lemma to get
34 = 20 x 1 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3214 and 5898 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(34,20) = HCF(530,34) = HCF(2684,530) = HCF(3214,2684) = HCF(5898,3214) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3214, 5898?
Answer: HCF of 3214, 5898 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3214, 5898 using Euclid's Algorithm?
Answer: For arbitrary numbers 3214, 5898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.