Highest Common Factor of 1866, 2532 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, 2532 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1866, 2532 is 6 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, 2532 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, 2532 is 6.
HCF(1866, 2532) = 6
HCF of 1866, 2532 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, 2532 is 6.
Highest Common Factor of 1866,2532 is 6
Step 1: Since 2532 > 1866, we apply the division lemma to 2532 and 1866, to get
2532 = 1866 x 1 + 666
Step 2: Since the reminder 1866 ≠ 0, we apply division lemma to 666 and 1866, to get
1866 = 666 x 2 + 534
Step 3: We consider the new divisor 666 and the new remainder 534, and apply the division lemma to get
666 = 534 x 1 + 132
We consider the new divisor 534 and the new remainder 132,and apply the division lemma to get
534 = 132 x 4 + 6
We consider the new divisor 132 and the new remainder 6,and apply the division lemma to get
132 = 6 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1866 and 2532 is 6
Notice that 6 = HCF(132,6) = HCF(534,132) = HCF(666,534) = HCF(1866,666) = HCF(2532,1866) .
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Frequently Asked Questions on HCF of 1866, 2532 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, 2532?
Answer: HCF of 1866, 2532 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1866, 2532 using Euclid's Algorithm?
Answer: For arbitrary numbers 1866, 2532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.