Highest Common Factor of 487, 342, 379 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 487, 342, 379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 487, 342, 379 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 487, 342, 379 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 487, 342, 379 is 1.
HCF(487, 342, 379) = 1
HCF of 487, 342, 379 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 487, 342, 379 is 1.
Highest Common Factor of 487,342,379 is 1
Step 1: Since 487 > 342, we apply the division lemma to 487 and 342, to get
487 = 342 x 1 + 145
Step 2: Since the reminder 342 ≠ 0, we apply division lemma to 145 and 342, to get
342 = 145 x 2 + 52
Step 3: We consider the new divisor 145 and the new remainder 52, and apply the division lemma to get
145 = 52 x 2 + 41
We consider the new divisor 52 and the new remainder 41,and apply the division lemma to get
52 = 41 x 1 + 11
We consider the new divisor 41 and the new remainder 11,and apply the division lemma to get
41 = 11 x 3 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 487 and 342 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(41,11) = HCF(52,41) = HCF(145,52) = HCF(342,145) = HCF(487,342) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 379 > 1, we apply the division lemma to 379 and 1, to get
379 = 1 x 379 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 379 is 1
Notice that 1 = HCF(379,1) .
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Frequently Asked Questions on HCF of 487, 342, 379 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 487, 342, 379?
Answer: HCF of 487, 342, 379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 487, 342, 379 using Euclid's Algorithm?
Answer: For arbitrary numbers 487, 342, 379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
