Highest Common Factor of 361, 948, 581 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 361, 948, 581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 361, 948, 581 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 361, 948, 581 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 361, 948, 581 is 1.
HCF(361, 948, 581) = 1
HCF of 361, 948, 581 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 361, 948, 581 is 1.
Highest Common Factor of 361,948,581 is 1
Step 1: Since 948 > 361, we apply the division lemma to 948 and 361, to get
948 = 361 x 2 + 226
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 226 and 361, to get
361 = 226 x 1 + 135
Step 3: We consider the new divisor 226 and the new remainder 135, and apply the division lemma to get
226 = 135 x 1 + 91
We consider the new divisor 135 and the new remainder 91,and apply the division lemma to get
135 = 91 x 1 + 44
We consider the new divisor 91 and the new remainder 44,and apply the division lemma to get
91 = 44 x 2 + 3
We consider the new divisor 44 and the new remainder 3,and apply the division lemma to get
44 = 3 x 14 + 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 361 and 948 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(44,3) = HCF(91,44) = HCF(135,91) = HCF(226,135) = HCF(361,226) = HCF(948,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 581 > 1, we apply the division lemma to 581 and 1, to get
581 = 1 x 581 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 581 is 1
Notice that 1 = HCF(581,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 361, 948, 581 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 361, 948, 581?
Answer: HCF of 361, 948, 581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 361, 948, 581 using Euclid's Algorithm?
Answer: For arbitrary numbers 361, 948, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.