Highest Common Factor of 923, 2518, 9452 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 923, 2518, 9452 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 923, 2518, 9452 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 923, 2518, 9452 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 923, 2518, 9452 is 1.
HCF(923, 2518, 9452) = 1
HCF of 923, 2518, 9452 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 923, 2518, 9452 is 1.
Highest Common Factor of 923,2518,9452 is 1
Step 1: Since 2518 > 923, we apply the division lemma to 2518 and 923, to get
2518 = 923 x 2 + 672
Step 2: Since the reminder 923 ≠ 0, we apply division lemma to 672 and 923, to get
923 = 672 x 1 + 251
Step 3: We consider the new divisor 672 and the new remainder 251, and apply the division lemma to get
672 = 251 x 2 + 170
We consider the new divisor 251 and the new remainder 170,and apply the division lemma to get
251 = 170 x 1 + 81
We consider the new divisor 170 and the new remainder 81,and apply the division lemma to get
170 = 81 x 2 + 8
We consider the new divisor 81 and the new remainder 8,and apply the division lemma to get
81 = 8 x 10 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 923 and 2518 is 1
Notice that 1 = HCF(8,1) = HCF(81,8) = HCF(170,81) = HCF(251,170) = HCF(672,251) = HCF(923,672) = HCF(2518,923) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9452 > 1, we apply the division lemma to 9452 and 1, to get
9452 = 1 x 9452 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9452 is 1
Notice that 1 = HCF(9452,1) .
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Frequently Asked Questions on HCF of 923, 2518, 9452 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 923, 2518, 9452?
Answer: HCF of 923, 2518, 9452 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 923, 2518, 9452 using Euclid's Algorithm?
Answer: For arbitrary numbers 923, 2518, 9452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.