Highest Common Factor of 3226, 1866 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 3226, 1866 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3226, 1866 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 3226, 1866 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 3226, 1866 is 2.
HCF(3226, 1866) = 2
HCF of 3226, 1866 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3226, 1866 is 2.
Highest Common Factor of 3226,1866 is 2
Step 1: Since 3226 > 1866, we apply the division lemma to 3226 and 1866, to get
3226 = 1866 x 1 + 1360
Step 2: Since the reminder 1866 ≠ 0, we apply division lemma to 1360 and 1866, to get
1866 = 1360 x 1 + 506
Step 3: We consider the new divisor 1360 and the new remainder 506, and apply the division lemma to get
1360 = 506 x 2 + 348
We consider the new divisor 506 and the new remainder 348,and apply the division lemma to get
506 = 348 x 1 + 158
We consider the new divisor 348 and the new remainder 158,and apply the division lemma to get
348 = 158 x 2 + 32
We consider the new divisor 158 and the new remainder 32,and apply the division lemma to get
158 = 32 x 4 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3226 and 1866 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(158,32) = HCF(348,158) = HCF(506,348) = HCF(1360,506) = HCF(1866,1360) = HCF(3226,1866) .
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Frequently Asked Questions on HCF of 3226, 1866 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 3226, 1866?
Answer: HCF of 3226, 1866 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3226, 1866 using Euclid's Algorithm?
Answer: For arbitrary numbers 3226, 1866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.