Highest Common Factor of 5759, 5475 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 5759, 5475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5759, 5475 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 5759, 5475 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 5759, 5475 is 1.
HCF(5759, 5475) = 1
HCF of 5759, 5475 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5759, 5475 is 1.
Highest Common Factor of 5759,5475 is 1
Step 1: Since 5759 > 5475, we apply the division lemma to 5759 and 5475, to get
5759 = 5475 x 1 + 284
Step 2: Since the reminder 5475 ≠ 0, we apply division lemma to 284 and 5475, to get
5475 = 284 x 19 + 79
Step 3: We consider the new divisor 284 and the new remainder 79, and apply the division lemma to get
284 = 79 x 3 + 47
We consider the new divisor 79 and the new remainder 47,and apply the division lemma to get
79 = 47 x 1 + 32
We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get
47 = 32 x 1 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 5759 and 5475 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(79,47) = HCF(284,79) = HCF(5475,284) = HCF(5759,5475) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5759, 5475 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 5759, 5475?
Answer: HCF of 5759, 5475 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5759, 5475 using Euclid's Algorithm?
Answer: For arbitrary numbers 5759, 5475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
