Highest Common Factor of 369, 482, 190, 731 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 369, 482, 190, 731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 369, 482, 190, 731 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 369, 482, 190, 731 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 369, 482, 190, 731 is 1.
HCF(369, 482, 190, 731) = 1
HCF of 369, 482, 190, 731 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 369, 482, 190, 731 is 1.
Highest Common Factor of 369,482,190,731 is 1
Step 1: Since 482 > 369, we apply the division lemma to 482 and 369, to get
482 = 369 x 1 + 113
Step 2: Since the reminder 369 ≠ 0, we apply division lemma to 113 and 369, to get
369 = 113 x 3 + 30
Step 3: We consider the new divisor 113 and the new remainder 30, and apply the division lemma to get
113 = 30 x 3 + 23
We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get
30 = 23 x 1 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 369 and 482 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(113,30) = HCF(369,113) = HCF(482,369) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 190 > 1, we apply the division lemma to 190 and 1, to get
190 = 1 x 190 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 190 is 1
Notice that 1 = HCF(190,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 731 > 1, we apply the division lemma to 731 and 1, to get
731 = 1 x 731 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 731 is 1
Notice that 1 = HCF(731,1) .
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Frequently Asked Questions on HCF of 369, 482, 190, 731 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 369, 482, 190, 731?
Answer: HCF of 369, 482, 190, 731 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 369, 482, 190, 731 using Euclid's Algorithm?
Answer: For arbitrary numbers 369, 482, 190, 731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
