Highest Common Factor of 450, 797, 191 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 450, 797, 191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 450, 797, 191 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 450, 797, 191 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 450, 797, 191 is 1.
HCF(450, 797, 191) = 1
HCF of 450, 797, 191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 450, 797, 191 is 1.
Highest Common Factor of 450,797,191 is 1
Step 1: Since 797 > 450, we apply the division lemma to 797 and 450, to get
797 = 450 x 1 + 347
Step 2: Since the reminder 450 ≠ 0, we apply division lemma to 347 and 450, to get
450 = 347 x 1 + 103
Step 3: We consider the new divisor 347 and the new remainder 103, and apply the division lemma to get
347 = 103 x 3 + 38
We consider the new divisor 103 and the new remainder 38,and apply the division lemma to get
103 = 38 x 2 + 27
We consider the new divisor 38 and the new remainder 27,and apply the division lemma to get
38 = 27 x 1 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 450 and 797 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(38,27) = HCF(103,38) = HCF(347,103) = HCF(450,347) = HCF(797,450) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 191 > 1, we apply the division lemma to 191 and 1, to get
191 = 1 x 191 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 191 is 1
Notice that 1 = HCF(191,1) .
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Frequently Asked Questions on HCF of 450, 797, 191 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 450, 797, 191?
Answer: HCF of 450, 797, 191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 450, 797, 191 using Euclid's Algorithm?
Answer: For arbitrary numbers 450, 797, 191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.