Highest Common Factor of 789, 2367, 8059 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 789, 2367, 8059 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 789, 2367, 8059 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 789, 2367, 8059 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 789, 2367, 8059 is 1.
HCF(789, 2367, 8059) = 1
HCF of 789, 2367, 8059 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 789, 2367, 8059 is 1.
Highest Common Factor of 789,2367,8059 is 1
Step 1: Since 2367 > 789, we apply the division lemma to 2367 and 789, to get
2367 = 789 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 789, the HCF of 789 and 2367 is 789
Notice that 789 = HCF(2367,789) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8059 > 789, we apply the division lemma to 8059 and 789, to get
8059 = 789 x 10 + 169
Step 2: Since the reminder 789 ≠ 0, we apply division lemma to 169 and 789, to get
789 = 169 x 4 + 113
Step 3: We consider the new divisor 169 and the new remainder 113, and apply the division lemma to get
169 = 113 x 1 + 56
We consider the new divisor 113 and the new remainder 56,and apply the division lemma to get
113 = 56 x 2 + 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 789 and 8059 is 1
Notice that 1 = HCF(56,1) = HCF(113,56) = HCF(169,113) = HCF(789,169) = HCF(8059,789) .
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Frequently Asked Questions on HCF of 789, 2367, 8059 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 789, 2367, 8059?
Answer: HCF of 789, 2367, 8059 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 789, 2367, 8059 using Euclid's Algorithm?
Answer: For arbitrary numbers 789, 2367, 8059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.