Highest Common Factor of 787, 890, 813 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 787, 890, 813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 787, 890, 813 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 787, 890, 813 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 787, 890, 813 is 1.
HCF(787, 890, 813) = 1
HCF of 787, 890, 813 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 787, 890, 813 is 1.
Highest Common Factor of 787,890,813 is 1
Step 1: Since 890 > 787, we apply the division lemma to 890 and 787, to get
890 = 787 x 1 + 103
Step 2: Since the reminder 787 ≠ 0, we apply division lemma to 103 and 787, to get
787 = 103 x 7 + 66
Step 3: We consider the new divisor 103 and the new remainder 66, and apply the division lemma to get
103 = 66 x 1 + 37
We consider the new divisor 66 and the new remainder 37,and apply the division lemma to get
66 = 37 x 1 + 29
We consider the new divisor 37 and the new remainder 29,and apply the division lemma to get
37 = 29 x 1 + 8
We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get
29 = 8 x 3 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 787 and 890 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(37,29) = HCF(66,37) = HCF(103,66) = HCF(787,103) = HCF(890,787) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 813 > 1, we apply the division lemma to 813 and 1, to get
813 = 1 x 813 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 813 is 1
Notice that 1 = HCF(813,1) .
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Frequently Asked Questions on HCF of 787, 890, 813 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 787, 890, 813?
Answer: HCF of 787, 890, 813 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 787, 890, 813 using Euclid's Algorithm?
Answer: For arbitrary numbers 787, 890, 813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
