Highest Common Factor of 361, 594, 304 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 361, 594, 304 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 361, 594, 304 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 361, 594, 304 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 361, 594, 304 is 1.
HCF(361, 594, 304) = 1
HCF of 361, 594, 304 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 361, 594, 304 is 1.
Highest Common Factor of 361,594,304 is 1
Step 1: Since 594 > 361, we apply the division lemma to 594 and 361, to get
594 = 361 x 1 + 233
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 233 and 361, to get
361 = 233 x 1 + 128
Step 3: We consider the new divisor 233 and the new remainder 128, and apply the division lemma to get
233 = 128 x 1 + 105
We consider the new divisor 128 and the new remainder 105,and apply the division lemma to get
128 = 105 x 1 + 23
We consider the new divisor 105 and the new remainder 23,and apply the division lemma to get
105 = 23 x 4 + 13
We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get
23 = 13 x 1 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 361 and 594 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(105,23) = HCF(128,105) = HCF(233,128) = HCF(361,233) = HCF(594,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 304 > 1, we apply the division lemma to 304 and 1, to get
304 = 1 x 304 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 304 is 1
Notice that 1 = HCF(304,1) .
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Frequently Asked Questions on HCF of 361, 594, 304 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 361, 594, 304?
Answer: HCF of 361, 594, 304 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 361, 594, 304 using Euclid's Algorithm?
Answer: For arbitrary numbers 361, 594, 304 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.