Highest Common Factor of 1786, 4664 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 1786, 4664 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1786, 4664 is 2 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 1786, 4664 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 1786, 4664 is 2.
HCF(1786, 4664) = 2
HCF of 1786, 4664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1786, 4664 is 2.
Highest Common Factor of 1786,4664 is 2
Step 1: Since 4664 > 1786, we apply the division lemma to 4664 and 1786, to get
4664 = 1786 x 2 + 1092
Step 2: Since the reminder 1786 ≠ 0, we apply division lemma to 1092 and 1786, to get
1786 = 1092 x 1 + 694
Step 3: We consider the new divisor 1092 and the new remainder 694, and apply the division lemma to get
1092 = 694 x 1 + 398
We consider the new divisor 694 and the new remainder 398,and apply the division lemma to get
694 = 398 x 1 + 296
We consider the new divisor 398 and the new remainder 296,and apply the division lemma to get
398 = 296 x 1 + 102
We consider the new divisor 296 and the new remainder 102,and apply the division lemma to get
296 = 102 x 2 + 92
We consider the new divisor 102 and the new remainder 92,and apply the division lemma to get
102 = 92 x 1 + 10
We consider the new divisor 92 and the new remainder 10,and apply the division lemma to get
92 = 10 x 9 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1786 and 4664 is 2
Notice that 2 = HCF(10,2) = HCF(92,10) = HCF(102,92) = HCF(296,102) = HCF(398,296) = HCF(694,398) = HCF(1092,694) = HCF(1786,1092) = HCF(4664,1786) .
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Frequently Asked Questions on HCF of 1786, 4664 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 1786, 4664?
Answer: HCF of 1786, 4664 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1786, 4664 using Euclid's Algorithm?
Answer: For arbitrary numbers 1786, 4664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.