Highest Common Factor of 353, 623, 118 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 353, 623, 118 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 353, 623, 118 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 353, 623, 118 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 353, 623, 118 is 1.
HCF(353, 623, 118) = 1
HCF of 353, 623, 118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 353, 623, 118 is 1.
Highest Common Factor of 353,623,118 is 1
Step 1: Since 623 > 353, we apply the division lemma to 623 and 353, to get
623 = 353 x 1 + 270
Step 2: Since the reminder 353 ≠ 0, we apply division lemma to 270 and 353, to get
353 = 270 x 1 + 83
Step 3: We consider the new divisor 270 and the new remainder 83, and apply the division lemma to get
270 = 83 x 3 + 21
We consider the new divisor 83 and the new remainder 21,and apply the division lemma to get
83 = 21 x 3 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 353 and 623 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(83,21) = HCF(270,83) = HCF(353,270) = HCF(623,353) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 118 > 1, we apply the division lemma to 118 and 1, to get
118 = 1 x 118 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 118 is 1
Notice that 1 = HCF(118,1) .
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Frequently Asked Questions on HCF of 353, 623, 118 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 353, 623, 118?
Answer: HCF of 353, 623, 118 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 353, 623, 118 using Euclid's Algorithm?
Answer: For arbitrary numbers 353, 623, 118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.