Highest Common Factor of 5464, 4706 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 5464, 4706 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5464, 4706 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 5464, 4706 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 5464, 4706 is 2.
HCF(5464, 4706) = 2
HCF of 5464, 4706 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5464, 4706 is 2.
Highest Common Factor of 5464,4706 is 2
Step 1: Since 5464 > 4706, we apply the division lemma to 5464 and 4706, to get
5464 = 4706 x 1 + 758
Step 2: Since the reminder 4706 ≠ 0, we apply division lemma to 758 and 4706, to get
4706 = 758 x 6 + 158
Step 3: We consider the new divisor 758 and the new remainder 158, and apply the division lemma to get
758 = 158 x 4 + 126
We consider the new divisor 158 and the new remainder 126,and apply the division lemma to get
158 = 126 x 1 + 32
We consider the new divisor 126 and the new remainder 32,and apply the division lemma to get
126 = 32 x 3 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5464 and 4706 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(126,32) = HCF(158,126) = HCF(758,158) = HCF(4706,758) = HCF(5464,4706) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5464, 4706 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 5464, 4706?
Answer: HCF of 5464, 4706 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5464, 4706 using Euclid's Algorithm?
Answer: For arbitrary numbers 5464, 4706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.