Highest Common Factor of 923, 613, 657 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, 613, 657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 923, 613, 657 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, 613, 657 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, 613, 657 is 1.
HCF(923, 613, 657) = 1
HCF of 923, 613, 657 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, 613, 657 is 1.
Highest Common Factor of 923,613,657 is 1
Step 1: Since 923 > 613, we apply the division lemma to 923 and 613, to get
923 = 613 x 1 + 310
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 310 and 613, to get
613 = 310 x 1 + 303
Step 3: We consider the new divisor 310 and the new remainder 303, and apply the division lemma to get
310 = 303 x 1 + 7
We consider the new divisor 303 and the new remainder 7,and apply the division lemma to get
303 = 7 x 43 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 923 and 613 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(303,7) = HCF(310,303) = HCF(613,310) = HCF(923,613) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 657 > 1, we apply the division lemma to 657 and 1, to get
657 = 1 x 657 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 657 is 1
Notice that 1 = HCF(657,1) .
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Frequently Asked Questions on HCF of 923, 613, 657 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, 613, 657?
Answer: HCF of 923, 613, 657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 923, 613, 657 using Euclid's Algorithm?
Answer: For arbitrary numbers 923, 613, 657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.