Highest Common Factor of 4644, 1918 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 4644, 1918 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4644, 1918 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 4644, 1918 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 4644, 1918 is 2.
HCF(4644, 1918) = 2
HCF of 4644, 1918 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4644, 1918 is 2.
Highest Common Factor of 4644,1918 is 2
Step 1: Since 4644 > 1918, we apply the division lemma to 4644 and 1918, to get
4644 = 1918 x 2 + 808
Step 2: Since the reminder 1918 ≠ 0, we apply division lemma to 808 and 1918, to get
1918 = 808 x 2 + 302
Step 3: We consider the new divisor 808 and the new remainder 302, and apply the division lemma to get
808 = 302 x 2 + 204
We consider the new divisor 302 and the new remainder 204,and apply the division lemma to get
302 = 204 x 1 + 98
We consider the new divisor 204 and the new remainder 98,and apply the division lemma to get
204 = 98 x 2 + 8
We consider the new divisor 98 and the new remainder 8,and apply the division lemma to get
98 = 8 x 12 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4644 and 1918 is 2
Notice that 2 = HCF(8,2) = HCF(98,8) = HCF(204,98) = HCF(302,204) = HCF(808,302) = HCF(1918,808) = HCF(4644,1918) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4644, 1918 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 4644, 1918?
Answer: HCF of 4644, 1918 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4644, 1918 using Euclid's Algorithm?
Answer: For arbitrary numbers 4644, 1918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
