Highest Common Factor of 623, 841, 418 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 623, 841, 418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 841, 418 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 623, 841, 418 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 623, 841, 418 is 1.
HCF(623, 841, 418) = 1
HCF of 623, 841, 418 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 841, 418 is 1.
Highest Common Factor of 623,841,418 is 1
Step 1: Since 841 > 623, we apply the division lemma to 841 and 623, to get
841 = 623 x 1 + 218
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 218 and 623, to get
623 = 218 x 2 + 187
Step 3: We consider the new divisor 218 and the new remainder 187, and apply the division lemma to get
218 = 187 x 1 + 31
We consider the new divisor 187 and the new remainder 31,and apply the division lemma to get
187 = 31 x 6 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 623 and 841 is 1
Notice that 1 = HCF(31,1) = HCF(187,31) = HCF(218,187) = HCF(623,218) = HCF(841,623) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 418 > 1, we apply the division lemma to 418 and 1, to get
418 = 1 x 418 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 418 is 1
Notice that 1 = HCF(418,1) .
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Frequently Asked Questions on HCF of 623, 841, 418 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 623, 841, 418?
Answer: HCF of 623, 841, 418 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 841, 418 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 841, 418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.