Highest Common Factor of 5451, 3283 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 5451, 3283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5451, 3283 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 5451, 3283 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 5451, 3283 is 1.
HCF(5451, 3283) = 1
HCF of 5451, 3283 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5451, 3283 is 1.
Highest Common Factor of 5451,3283 is 1
Step 1: Since 5451 > 3283, we apply the division lemma to 5451 and 3283, to get
5451 = 3283 x 1 + 2168
Step 2: Since the reminder 3283 ≠ 0, we apply division lemma to 2168 and 3283, to get
3283 = 2168 x 1 + 1115
Step 3: We consider the new divisor 2168 and the new remainder 1115, and apply the division lemma to get
2168 = 1115 x 1 + 1053
We consider the new divisor 1115 and the new remainder 1053,and apply the division lemma to get
1115 = 1053 x 1 + 62
We consider the new divisor 1053 and the new remainder 62,and apply the division lemma to get
1053 = 62 x 16 + 61
We consider the new divisor 62 and the new remainder 61,and apply the division lemma to get
62 = 61 x 1 + 1
We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5451 and 3283 is 1
Notice that 1 = HCF(61,1) = HCF(62,61) = HCF(1053,62) = HCF(1115,1053) = HCF(2168,1115) = HCF(3283,2168) = HCF(5451,3283) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5451, 3283 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 5451, 3283?
Answer: HCF of 5451, 3283 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5451, 3283 using Euclid's Algorithm?
Answer: For arbitrary numbers 5451, 3283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.