Highest Common Factor of 3550, 5453 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 3550, 5453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3550, 5453 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 3550, 5453 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 3550, 5453 is 1.
HCF(3550, 5453) = 1
HCF of 3550, 5453 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3550, 5453 is 1.
Highest Common Factor of 3550,5453 is 1
Step 1: Since 5453 > 3550, we apply the division lemma to 5453 and 3550, to get
5453 = 3550 x 1 + 1903
Step 2: Since the reminder 3550 ≠ 0, we apply division lemma to 1903 and 3550, to get
3550 = 1903 x 1 + 1647
Step 3: We consider the new divisor 1903 and the new remainder 1647, and apply the division lemma to get
1903 = 1647 x 1 + 256
We consider the new divisor 1647 and the new remainder 256,and apply the division lemma to get
1647 = 256 x 6 + 111
We consider the new divisor 256 and the new remainder 111,and apply the division lemma to get
256 = 111 x 2 + 34
We consider the new divisor 111 and the new remainder 34,and apply the division lemma to get
111 = 34 x 3 + 9
We consider the new divisor 34 and the new remainder 9,and apply the division lemma to get
34 = 9 x 3 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 3550 and 5453 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(34,9) = HCF(111,34) = HCF(256,111) = HCF(1647,256) = HCF(1903,1647) = HCF(3550,1903) = HCF(5453,3550) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3550, 5453 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 3550, 5453?
Answer: HCF of 3550, 5453 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3550, 5453 using Euclid's Algorithm?
Answer: For arbitrary numbers 3550, 5453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.