Highest Common Factor of 1866, 4496 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 1866, 4496 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1866, 4496 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 1866, 4496 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 1866, 4496 is 2.
HCF(1866, 4496) = 2
HCF of 1866, 4496 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1866, 4496 is 2.
Highest Common Factor of 1866,4496 is 2
Step 1: Since 4496 > 1866, we apply the division lemma to 4496 and 1866, to get
4496 = 1866 x 2 + 764
Step 2: Since the reminder 1866 ≠ 0, we apply division lemma to 764 and 1866, to get
1866 = 764 x 2 + 338
Step 3: We consider the new divisor 764 and the new remainder 338, and apply the division lemma to get
764 = 338 x 2 + 88
We consider the new divisor 338 and the new remainder 88,and apply the division lemma to get
338 = 88 x 3 + 74
We consider the new divisor 88 and the new remainder 74,and apply the division lemma to get
88 = 74 x 1 + 14
We consider the new divisor 74 and the new remainder 14,and apply the division lemma to get
74 = 14 x 5 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1866 and 4496 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(74,14) = HCF(88,74) = HCF(338,88) = HCF(764,338) = HCF(1866,764) = HCF(4496,1866) .
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Frequently Asked Questions on HCF of 1866, 4496 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 1866, 4496?
Answer: HCF of 1866, 4496 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1866, 4496 using Euclid's Algorithm?
Answer: For arbitrary numbers 1866, 4496 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.