Highest Common Factor of 2228, 9053, 67905 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 2228, 9053, 67905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2228, 9053, 67905 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 2228, 9053, 67905 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 2228, 9053, 67905 is 1.
HCF(2228, 9053, 67905) = 1
HCF of 2228, 9053, 67905 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2228, 9053, 67905 is 1.
Highest Common Factor of 2228,9053,67905 is 1
Step 1: Since 9053 > 2228, we apply the division lemma to 9053 and 2228, to get
9053 = 2228 x 4 + 141
Step 2: Since the reminder 2228 ≠ 0, we apply division lemma to 141 and 2228, to get
2228 = 141 x 15 + 113
Step 3: We consider the new divisor 141 and the new remainder 113, and apply the division lemma to get
141 = 113 x 1 + 28
We consider the new divisor 113 and the new remainder 28,and apply the division lemma to get
113 = 28 x 4 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2228 and 9053 is 1
Notice that 1 = HCF(28,1) = HCF(113,28) = HCF(141,113) = HCF(2228,141) = HCF(9053,2228) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 67905 > 1, we apply the division lemma to 67905 and 1, to get
67905 = 1 x 67905 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67905 is 1
Notice that 1 = HCF(67905,1) .
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Frequently Asked Questions on HCF of 2228, 9053, 67905 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 2228, 9053, 67905?
Answer: HCF of 2228, 9053, 67905 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2228, 9053, 67905 using Euclid's Algorithm?
Answer: For arbitrary numbers 2228, 9053, 67905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.