Highest Common Factor of 154, 29815 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 154, 29815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 154, 29815 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 154, 29815 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 154, 29815 is 1.
HCF(154, 29815) = 1
HCF of 154, 29815 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 154, 29815 is 1.
Highest Common Factor of 154,29815 is 1
Step 1: Since 29815 > 154, we apply the division lemma to 29815 and 154, to get
29815 = 154 x 193 + 93
Step 2: Since the reminder 154 ≠ 0, we apply division lemma to 93 and 154, to get
154 = 93 x 1 + 61
Step 3: We consider the new divisor 93 and the new remainder 61, and apply the division lemma to get
93 = 61 x 1 + 32
We consider the new divisor 61 and the new remainder 32,and apply the division lemma to get
61 = 32 x 1 + 29
We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get
32 = 29 x 1 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 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 154 and 29815 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(61,32) = HCF(93,61) = HCF(154,93) = HCF(29815,154) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 154, 29815 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 154, 29815?
Answer: HCF of 154, 29815 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 154, 29815 using Euclid's Algorithm?
Answer: For arbitrary numbers 154, 29815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.