Highest Common Factor of 9623, 1899, 54974 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 9623, 1899, 54974 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9623, 1899, 54974 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 9623, 1899, 54974 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 9623, 1899, 54974 is 1.
HCF(9623, 1899, 54974) = 1
HCF of 9623, 1899, 54974 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9623, 1899, 54974 is 1.
Highest Common Factor of 9623,1899,54974 is 1
Step 1: Since 9623 > 1899, we apply the division lemma to 9623 and 1899, to get
9623 = 1899 x 5 + 128
Step 2: Since the reminder 1899 ≠ 0, we apply division lemma to 128 and 1899, to get
1899 = 128 x 14 + 107
Step 3: We consider the new divisor 128 and the new remainder 107, and apply the division lemma to get
128 = 107 x 1 + 21
We consider the new divisor 107 and the new remainder 21,and apply the division lemma to get
107 = 21 x 5 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9623 and 1899 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(107,21) = HCF(128,107) = HCF(1899,128) = HCF(9623,1899) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54974 > 1, we apply the division lemma to 54974 and 1, to get
54974 = 1 x 54974 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54974 is 1
Notice that 1 = HCF(54974,1) .
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Frequently Asked Questions on HCF of 9623, 1899, 54974 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 9623, 1899, 54974?
Answer: HCF of 9623, 1899, 54974 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9623, 1899, 54974 using Euclid's Algorithm?
Answer: For arbitrary numbers 9623, 1899, 54974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
