Highest Common Factor of 97, 342, 230, 317 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 97, 342, 230, 317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 97, 342, 230, 317 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 97, 342, 230, 317 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 97, 342, 230, 317 is 1.
HCF(97, 342, 230, 317) = 1
HCF of 97, 342, 230, 317 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 97, 342, 230, 317 is 1.
Highest Common Factor of 97,342,230,317 is 1
Step 1: Since 342 > 97, we apply the division lemma to 342 and 97, to get
342 = 97 x 3 + 51
Step 2: Since the reminder 97 ≠ 0, we apply division lemma to 51 and 97, to get
97 = 51 x 1 + 46
Step 3: We consider the new divisor 51 and the new remainder 46, and apply the division lemma to get
51 = 46 x 1 + 5
We consider the new divisor 46 and the new remainder 5,and apply the division lemma to get
46 = 5 x 9 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 97 and 342 is 1
Notice that 1 = HCF(5,1) = HCF(46,5) = HCF(51,46) = HCF(97,51) = HCF(342,97) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 230 > 1, we apply the division lemma to 230 and 1, to get
230 = 1 x 230 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 230 is 1
Notice that 1 = HCF(230,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 317 > 1, we apply the division lemma to 317 and 1, to get
317 = 1 x 317 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 317 is 1
Notice that 1 = HCF(317,1) .
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Frequently Asked Questions on HCF of 97, 342, 230, 317 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 97, 342, 230, 317?
Answer: HCF of 97, 342, 230, 317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 97, 342, 230, 317 using Euclid's Algorithm?
Answer: For arbitrary numbers 97, 342, 230, 317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.