Highest Common Factor of 342, 602, 427 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 342, 602, 427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 342, 602, 427 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 342, 602, 427 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 342, 602, 427 is 1.
HCF(342, 602, 427) = 1
HCF of 342, 602, 427 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 342, 602, 427 is 1.
Highest Common Factor of 342,602,427 is 1
Step 1: Since 602 > 342, we apply the division lemma to 602 and 342, to get
602 = 342 x 1 + 260
Step 2: Since the reminder 342 ≠ 0, we apply division lemma to 260 and 342, to get
342 = 260 x 1 + 82
Step 3: We consider the new divisor 260 and the new remainder 82, and apply the division lemma to get
260 = 82 x 3 + 14
We consider the new divisor 82 and the new remainder 14,and apply the division lemma to get
82 = 14 x 5 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 342 and 602 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(82,14) = HCF(260,82) = HCF(342,260) = HCF(602,342) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 427 > 2, we apply the division lemma to 427 and 2, to get
427 = 2 x 213 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 427 is 1
Notice that 1 = HCF(2,1) = HCF(427,2) .
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Frequently Asked Questions on HCF of 342, 602, 427 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 342, 602, 427?
Answer: HCF of 342, 602, 427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 342, 602, 427 using Euclid's Algorithm?
Answer: For arbitrary numbers 342, 602, 427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.