Highest Common Factor of 4361, 179 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 4361, 179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4361, 179 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 4361, 179 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 4361, 179 is 1.
HCF(4361, 179) = 1
HCF of 4361, 179 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4361, 179 is 1.
Highest Common Factor of 4361,179 is 1
Step 1: Since 4361 > 179, we apply the division lemma to 4361 and 179, to get
4361 = 179 x 24 + 65
Step 2: Since the reminder 179 ≠ 0, we apply division lemma to 65 and 179, to get
179 = 65 x 2 + 49
Step 3: We consider the new divisor 65 and the new remainder 49, and apply the division lemma to get
65 = 49 x 1 + 16
We consider the new divisor 49 and the new remainder 16,and apply the division lemma to get
49 = 16 x 3 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4361 and 179 is 1
Notice that 1 = HCF(16,1) = HCF(49,16) = HCF(65,49) = HCF(179,65) = HCF(4361,179) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4361, 179 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 4361, 179?
Answer: HCF of 4361, 179 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4361, 179 using Euclid's Algorithm?
Answer: For arbitrary numbers 4361, 179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.