Highest Common Factor of 2253, 4445, 96657 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 2253, 4445, 96657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2253, 4445, 96657 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 2253, 4445, 96657 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 2253, 4445, 96657 is 1.
HCF(2253, 4445, 96657) = 1
HCF of 2253, 4445, 96657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2253, 4445, 96657 is 1.
Highest Common Factor of 2253,4445,96657 is 1
Step 1: Since 4445 > 2253, we apply the division lemma to 4445 and 2253, to get
4445 = 2253 x 1 + 2192
Step 2: Since the reminder 2253 ≠ 0, we apply division lemma to 2192 and 2253, to get
2253 = 2192 x 1 + 61
Step 3: We consider the new divisor 2192 and the new remainder 61, and apply the division lemma to get
2192 = 61 x 35 + 57
We consider the new divisor 61 and the new remainder 57,and apply the division lemma to get
61 = 57 x 1 + 4
We consider the new divisor 57 and the new remainder 4,and apply the division lemma to get
57 = 4 x 14 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2253 and 4445 is 1
Notice that 1 = HCF(4,1) = HCF(57,4) = HCF(61,57) = HCF(2192,61) = HCF(2253,2192) = HCF(4445,2253) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96657 > 1, we apply the division lemma to 96657 and 1, to get
96657 = 1 x 96657 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96657 is 1
Notice that 1 = HCF(96657,1) .
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Frequently Asked Questions on HCF of 2253, 4445, 96657 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 2253, 4445, 96657?
Answer: HCF of 2253, 4445, 96657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2253, 4445, 96657 using Euclid's Algorithm?
Answer: For arbitrary numbers 2253, 4445, 96657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.