Highest Common Factor of 382, 5011, 5155 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 382, 5011, 5155 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 382, 5011, 5155 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 382, 5011, 5155 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 382, 5011, 5155 is 1.
HCF(382, 5011, 5155) = 1
HCF of 382, 5011, 5155 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 382, 5011, 5155 is 1.
Highest Common Factor of 382,5011,5155 is 1
Step 1: Since 5011 > 382, we apply the division lemma to 5011 and 382, to get
5011 = 382 x 13 + 45
Step 2: Since the reminder 382 ≠ 0, we apply division lemma to 45 and 382, to get
382 = 45 x 8 + 22
Step 3: We consider the new divisor 45 and the new remainder 22, and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1, and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 382 and 5011 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(382,45) = HCF(5011,382) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5155 > 1, we apply the division lemma to 5155 and 1, to get
5155 = 1 x 5155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5155 is 1
Notice that 1 = HCF(5155,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 382, 5011, 5155 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 382, 5011, 5155?
Answer: HCF of 382, 5011, 5155 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 382, 5011, 5155 using Euclid's Algorithm?
Answer: For arbitrary numbers 382, 5011, 5155 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.