Highest Common Factor of 818, 568, 983, 791 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 818, 568, 983, 791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 818, 568, 983, 791 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 818, 568, 983, 791 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 818, 568, 983, 791 is 1.
HCF(818, 568, 983, 791) = 1
HCF of 818, 568, 983, 791 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 818, 568, 983, 791 is 1.
Highest Common Factor of 818,568,983,791 is 1
Step 1: Since 818 > 568, we apply the division lemma to 818 and 568, to get
818 = 568 x 1 + 250
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 250 and 568, to get
568 = 250 x 2 + 68
Step 3: We consider the new divisor 250 and the new remainder 68, and apply the division lemma to get
250 = 68 x 3 + 46
We consider the new divisor 68 and the new remainder 46,and apply the division lemma to get
68 = 46 x 1 + 22
We consider the new divisor 46 and the new remainder 22,and apply the division lemma to get
46 = 22 x 2 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 818 and 568 is 2
Notice that 2 = HCF(22,2) = HCF(46,22) = HCF(68,46) = HCF(250,68) = HCF(568,250) = HCF(818,568) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 983 > 2, we apply the division lemma to 983 and 2, to get
983 = 2 x 491 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 983 is 1
Notice that 1 = HCF(2,1) = HCF(983,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 791 > 1, we apply the division lemma to 791 and 1, to get
791 = 1 x 791 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 791 is 1
Notice that 1 = HCF(791,1) .
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Frequently Asked Questions on HCF of 818, 568, 983, 791 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 818, 568, 983, 791?
Answer: HCF of 818, 568, 983, 791 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 818, 568, 983, 791 using Euclid's Algorithm?
Answer: For arbitrary numbers 818, 568, 983, 791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.