Highest Common Factor of 445, 29677 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 445, 29677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 445, 29677 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 445, 29677 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 445, 29677 is 1.
HCF(445, 29677) = 1
HCF of 445, 29677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 445, 29677 is 1.
Highest Common Factor of 445,29677 is 1
Step 1: Since 29677 > 445, we apply the division lemma to 29677 and 445, to get
29677 = 445 x 66 + 307
Step 2: Since the reminder 445 ≠ 0, we apply division lemma to 307 and 445, to get
445 = 307 x 1 + 138
Step 3: We consider the new divisor 307 and the new remainder 138, and apply the division lemma to get
307 = 138 x 2 + 31
We consider the new divisor 138 and the new remainder 31,and apply the division lemma to get
138 = 31 x 4 + 14
We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get
31 = 14 x 2 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 445 and 29677 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(138,31) = HCF(307,138) = HCF(445,307) = HCF(29677,445) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 445, 29677 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 445, 29677?
Answer: HCF of 445, 29677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 445, 29677 using Euclid's Algorithm?
Answer: For arbitrary numbers 445, 29677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
