Highest Common Factor of 793, 170, 819, 69 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 793, 170, 819, 69 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 793, 170, 819, 69 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 793, 170, 819, 69 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 793, 170, 819, 69 is 1.
HCF(793, 170, 819, 69) = 1
HCF of 793, 170, 819, 69 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 793, 170, 819, 69 is 1.
Highest Common Factor of 793,170,819,69 is 1
Step 1: Since 793 > 170, we apply the division lemma to 793 and 170, to get
793 = 170 x 4 + 113
Step 2: Since the reminder 170 ≠ 0, we apply division lemma to 113 and 170, to get
170 = 113 x 1 + 57
Step 3: We consider the new divisor 113 and the new remainder 57, and apply the division lemma to get
113 = 57 x 1 + 56
We consider the new divisor 57 and the new remainder 56,and apply the division lemma to get
57 = 56 x 1 + 1
We consider the new divisor 56 and the new remainder 1,and apply the division lemma to get
56 = 1 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 793 and 170 is 1
Notice that 1 = HCF(56,1) = HCF(57,56) = HCF(113,57) = HCF(170,113) = HCF(793,170) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 819 > 1, we apply the division lemma to 819 and 1, to get
819 = 1 x 819 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 819 is 1
Notice that 1 = HCF(819,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69 > 1, we apply the division lemma to 69 and 1, to get
69 = 1 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69 is 1
Notice that 1 = HCF(69,1) .
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Frequently Asked Questions on HCF of 793, 170, 819, 69 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 793, 170, 819, 69?
Answer: HCF of 793, 170, 819, 69 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 793, 170, 819, 69 using Euclid's Algorithm?
Answer: For arbitrary numbers 793, 170, 819, 69 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.