Highest Common Factor of 2202, 2949, 36882 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 2202, 2949, 36882 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2202, 2949, 36882 is 3 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 2202, 2949, 36882 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 2202, 2949, 36882 is 3.
HCF(2202, 2949, 36882) = 3
HCF of 2202, 2949, 36882 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2202, 2949, 36882 is 3.
Highest Common Factor of 2202,2949,36882 is 3
Step 1: Since 2949 > 2202, we apply the division lemma to 2949 and 2202, to get
2949 = 2202 x 1 + 747
Step 2: Since the reminder 2202 ≠ 0, we apply division lemma to 747 and 2202, to get
2202 = 747 x 2 + 708
Step 3: We consider the new divisor 747 and the new remainder 708, and apply the division lemma to get
747 = 708 x 1 + 39
We consider the new divisor 708 and the new remainder 39,and apply the division lemma to get
708 = 39 x 18 + 6
We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get
39 = 6 x 6 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2202 and 2949 is 3
Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(708,39) = HCF(747,708) = HCF(2202,747) = HCF(2949,2202) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36882 > 3, we apply the division lemma to 36882 and 3, to get
36882 = 3 x 12294 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 36882 is 3
Notice that 3 = HCF(36882,3) .
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Frequently Asked Questions on HCF of 2202, 2949, 36882 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 2202, 2949, 36882?
Answer: HCF of 2202, 2949, 36882 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2202, 2949, 36882 using Euclid's Algorithm?
Answer: For arbitrary numbers 2202, 2949, 36882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
