Highest Common Factor of 237, 842, 581, 146 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 237, 842, 581, 146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 237, 842, 581, 146 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 237, 842, 581, 146 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 237, 842, 581, 146 is 1.
HCF(237, 842, 581, 146) = 1
HCF of 237, 842, 581, 146 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 237, 842, 581, 146 is 1.
Highest Common Factor of 237,842,581,146 is 1
Step 1: Since 842 > 237, we apply the division lemma to 842 and 237, to get
842 = 237 x 3 + 131
Step 2: Since the reminder 237 ≠ 0, we apply division lemma to 131 and 237, to get
237 = 131 x 1 + 106
Step 3: We consider the new divisor 131 and the new remainder 106, and apply the division lemma to get
131 = 106 x 1 + 25
We consider the new divisor 106 and the new remainder 25,and apply the division lemma to get
106 = 25 x 4 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 237 and 842 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(106,25) = HCF(131,106) = HCF(237,131) = HCF(842,237) .
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) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 146 > 1, we apply the division lemma to 146 and 1, to get
146 = 1 x 146 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 146 is 1
Notice that 1 = HCF(146,1) .
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Frequently Asked Questions on HCF of 237, 842, 581, 146 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 237, 842, 581, 146?
Answer: HCF of 237, 842, 581, 146 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 237, 842, 581, 146 using Euclid's Algorithm?
Answer: For arbitrary numbers 237, 842, 581, 146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.