Highest Common Factor of 184, 297, 593, 970 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 184, 297, 593, 970 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 184, 297, 593, 970 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 184, 297, 593, 970 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 184, 297, 593, 970 is 1.
HCF(184, 297, 593, 970) = 1
HCF of 184, 297, 593, 970 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 184, 297, 593, 970 is 1.
Highest Common Factor of 184,297,593,970 is 1
Step 1: Since 297 > 184, we apply the division lemma to 297 and 184, to get
297 = 184 x 1 + 113
Step 2: Since the reminder 184 ≠ 0, we apply division lemma to 113 and 184, to get
184 = 113 x 1 + 71
Step 3: We consider the new divisor 113 and the new remainder 71, and apply the division lemma to get
113 = 71 x 1 + 42
We consider the new divisor 71 and the new remainder 42,and apply the division lemma to get
71 = 42 x 1 + 29
We consider the new divisor 42 and the new remainder 29,and apply the division lemma to get
42 = 29 x 1 + 13
We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get
29 = 13 x 2 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 184 and 297 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(42,29) = HCF(71,42) = HCF(113,71) = HCF(184,113) = HCF(297,184) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 593 > 1, we apply the division lemma to 593 and 1, to get
593 = 1 x 593 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 593 is 1
Notice that 1 = HCF(593,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 970 > 1, we apply the division lemma to 970 and 1, to get
970 = 1 x 970 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 970 is 1
Notice that 1 = HCF(970,1) .
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Frequently Asked Questions on HCF of 184, 297, 593, 970 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 184, 297, 593, 970?
Answer: HCF of 184, 297, 593, 970 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 184, 297, 593, 970 using Euclid's Algorithm?
Answer: For arbitrary numbers 184, 297, 593, 970 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.