Highest Common Factor of 811, 1240, 4493 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 811, 1240, 4493 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 1240, 4493 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 811, 1240, 4493 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 811, 1240, 4493 is 1.
HCF(811, 1240, 4493) = 1
HCF of 811, 1240, 4493 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 811, 1240, 4493 is 1.
Highest Common Factor of 811,1240,4493 is 1
Step 1: Since 1240 > 811, we apply the division lemma to 1240 and 811, to get
1240 = 811 x 1 + 429
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 429 and 811, to get
811 = 429 x 1 + 382
Step 3: We consider the new divisor 429 and the new remainder 382, and apply the division lemma to get
429 = 382 x 1 + 47
We consider the new divisor 382 and the new remainder 47,and apply the division lemma to get
382 = 47 x 8 + 6
We consider the new divisor 47 and the new remainder 6,and apply the division lemma to get
47 = 6 x 7 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 811 and 1240 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(47,6) = HCF(382,47) = HCF(429,382) = HCF(811,429) = HCF(1240,811) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4493 > 1, we apply the division lemma to 4493 and 1, to get
4493 = 1 x 4493 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4493 is 1
Notice that 1 = HCF(4493,1) .
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Frequently Asked Questions on HCF of 811, 1240, 4493 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 811, 1240, 4493?
Answer: HCF of 811, 1240, 4493 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 1240, 4493 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 1240, 4493 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
