Highest Common Factor of 1215, 4634 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 1215, 4634 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1215, 4634 is 1 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 1215, 4634 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 1215, 4634 is 1.
HCF(1215, 4634) = 1
HCF of 1215, 4634 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1215, 4634 is 1.
Highest Common Factor of 1215,4634 is 1
Step 1: Since 4634 > 1215, we apply the division lemma to 4634 and 1215, to get
4634 = 1215 x 3 + 989
Step 2: Since the reminder 1215 ≠ 0, we apply division lemma to 989 and 1215, to get
1215 = 989 x 1 + 226
Step 3: We consider the new divisor 989 and the new remainder 226, and apply the division lemma to get
989 = 226 x 4 + 85
We consider the new divisor 226 and the new remainder 85,and apply the division lemma to get
226 = 85 x 2 + 56
We consider the new divisor 85 and the new remainder 56,and apply the division lemma to get
85 = 56 x 1 + 29
We consider the new divisor 56 and the new remainder 29,and apply the division lemma to get
56 = 29 x 1 + 27
We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get
29 = 27 x 1 + 2
We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get
27 = 2 x 13 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1215 and 4634 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(56,29) = HCF(85,56) = HCF(226,85) = HCF(989,226) = HCF(1215,989) = HCF(4634,1215) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1215, 4634 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 1215, 4634?
Answer: HCF of 1215, 4634 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1215, 4634 using Euclid's Algorithm?
Answer: For arbitrary numbers 1215, 4634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.