Highest Common Factor of 2789, 8466, 72762 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 2789, 8466, 72762 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2789, 8466, 72762 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 2789, 8466, 72762 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 2789, 8466, 72762 is 1.
HCF(2789, 8466, 72762) = 1
HCF of 2789, 8466, 72762 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2789, 8466, 72762 is 1.
Highest Common Factor of 2789,8466,72762 is 1
Step 1: Since 8466 > 2789, we apply the division lemma to 8466 and 2789, to get
8466 = 2789 x 3 + 99
Step 2: Since the reminder 2789 ≠ 0, we apply division lemma to 99 and 2789, to get
2789 = 99 x 28 + 17
Step 3: We consider the new divisor 99 and the new remainder 17, and apply the division lemma to get
99 = 17 x 5 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 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 2789 and 8466 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(99,17) = HCF(2789,99) = HCF(8466,2789) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72762 > 1, we apply the division lemma to 72762 and 1, to get
72762 = 1 x 72762 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72762 is 1
Notice that 1 = HCF(72762,1) .
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Frequently Asked Questions on HCF of 2789, 8466, 72762 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 2789, 8466, 72762?
Answer: HCF of 2789, 8466, 72762 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2789, 8466, 72762 using Euclid's Algorithm?
Answer: For arbitrary numbers 2789, 8466, 72762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.