Highest Common Factor of 2244, 9615, 66955 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 2244, 9615, 66955 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2244, 9615, 66955 is 1 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 2244, 9615, 66955 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 2244, 9615, 66955 is 1.
HCF(2244, 9615, 66955) = 1
HCF of 2244, 9615, 66955 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2244, 9615, 66955 is 1.
Highest Common Factor of 2244,9615,66955 is 1
Step 1: Since 9615 > 2244, we apply the division lemma to 9615 and 2244, to get
9615 = 2244 x 4 + 639
Step 2: Since the reminder 2244 ≠ 0, we apply division lemma to 639 and 2244, to get
2244 = 639 x 3 + 327
Step 3: We consider the new divisor 639 and the new remainder 327, and apply the division lemma to get
639 = 327 x 1 + 312
We consider the new divisor 327 and the new remainder 312,and apply the division lemma to get
327 = 312 x 1 + 15
We consider the new divisor 312 and the new remainder 15,and apply the division lemma to get
312 = 15 x 20 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2244 and 9615 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(312,15) = HCF(327,312) = HCF(639,327) = HCF(2244,639) = HCF(9615,2244) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66955 > 3, we apply the division lemma to 66955 and 3, to get
66955 = 3 x 22318 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 66955 is 1
Notice that 1 = HCF(3,1) = HCF(66955,3) .
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Frequently Asked Questions on HCF of 2244, 9615, 66955 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 2244, 9615, 66955?
Answer: HCF of 2244, 9615, 66955 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2244, 9615, 66955 using Euclid's Algorithm?
Answer: For arbitrary numbers 2244, 9615, 66955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
