Highest Common Factor of 5408, 1215 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 5408, 1215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5408, 1215 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 5408, 1215 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 5408, 1215 is 1.
HCF(5408, 1215) = 1
HCF of 5408, 1215 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5408, 1215 is 1.
Highest Common Factor of 5408,1215 is 1
Step 1: Since 5408 > 1215, we apply the division lemma to 5408 and 1215, to get
5408 = 1215 x 4 + 548
Step 2: Since the reminder 1215 ≠ 0, we apply division lemma to 548 and 1215, to get
1215 = 548 x 2 + 119
Step 3: We consider the new divisor 548 and the new remainder 119, and apply the division lemma to get
548 = 119 x 4 + 72
We consider the new divisor 119 and the new remainder 72,and apply the division lemma to get
119 = 72 x 1 + 47
We consider the new divisor 72 and the new remainder 47,and apply the division lemma to get
72 = 47 x 1 + 25
We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get
47 = 25 x 1 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5408 and 1215 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(72,47) = HCF(119,72) = HCF(548,119) = HCF(1215,548) = HCF(5408,1215) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5408, 1215 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 5408, 1215?
Answer: HCF of 5408, 1215 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5408, 1215 using Euclid's Algorithm?
Answer: For arbitrary numbers 5408, 1215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.