Highest Common Factor of 606, 931, 350, 97 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 606, 931, 350, 97 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 606, 931, 350, 97 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 606, 931, 350, 97 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 606, 931, 350, 97 is 1.
HCF(606, 931, 350, 97) = 1
HCF of 606, 931, 350, 97 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 606, 931, 350, 97 is 1.
Highest Common Factor of 606,931,350,97 is 1
Step 1: Since 931 > 606, we apply the division lemma to 931 and 606, to get
931 = 606 x 1 + 325
Step 2: Since the reminder 606 ≠ 0, we apply division lemma to 325 and 606, to get
606 = 325 x 1 + 281
Step 3: We consider the new divisor 325 and the new remainder 281, and apply the division lemma to get
325 = 281 x 1 + 44
We consider the new divisor 281 and the new remainder 44,and apply the division lemma to get
281 = 44 x 6 + 17
We consider the new divisor 44 and the new remainder 17,and apply the division lemma to get
44 = 17 x 2 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 606 and 931 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(44,17) = HCF(281,44) = HCF(325,281) = HCF(606,325) = HCF(931,606) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 350 > 1, we apply the division lemma to 350 and 1, to get
350 = 1 x 350 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 350 is 1
Notice that 1 = HCF(350,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97 > 1, we apply the division lemma to 97 and 1, to get
97 = 1 x 97 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97 is 1
Notice that 1 = HCF(97,1) .
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Frequently Asked Questions on HCF of 606, 931, 350, 97 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 606, 931, 350, 97?
Answer: HCF of 606, 931, 350, 97 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 606, 931, 350, 97 using Euclid's Algorithm?
Answer: For arbitrary numbers 606, 931, 350, 97 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.