Highest Common Factor of 721, 923 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 721, 923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 721, 923 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 721, 923 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 721, 923 is 1.
HCF(721, 923) = 1
HCF of 721, 923 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 721, 923 is 1.
Highest Common Factor of 721,923 is 1
Step 1: Since 923 > 721, we apply the division lemma to 923 and 721, to get
923 = 721 x 1 + 202
Step 2: Since the reminder 721 ≠ 0, we apply division lemma to 202 and 721, to get
721 = 202 x 3 + 115
Step 3: We consider the new divisor 202 and the new remainder 115, and apply the division lemma to get
202 = 115 x 1 + 87
We consider the new divisor 115 and the new remainder 87,and apply the division lemma to get
115 = 87 x 1 + 28
We consider the new divisor 87 and the new remainder 28,and apply the division lemma to get
87 = 28 x 3 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 721 and 923 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(87,28) = HCF(115,87) = HCF(202,115) = HCF(721,202) = HCF(923,721) .
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Frequently Asked Questions on HCF of 721, 923 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 721, 923?
Answer: HCF of 721, 923 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 721, 923 using Euclid's Algorithm?
Answer: For arbitrary numbers 721, 923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.