Highest Common Factor of 1294, 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 1294, 923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1294, 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 1294, 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 1294, 923 is 1.
HCF(1294, 923) = 1
HCF of 1294, 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 1294, 923 is 1.
Highest Common Factor of 1294,923 is 1
Step 1: Since 1294 > 923, we apply the division lemma to 1294 and 923, to get
1294 = 923 x 1 + 371
Step 2: Since the reminder 923 ≠ 0, we apply division lemma to 371 and 923, to get
923 = 371 x 2 + 181
Step 3: We consider the new divisor 371 and the new remainder 181, and apply the division lemma to get
371 = 181 x 2 + 9
We consider the new divisor 181 and the new remainder 9,and apply the division lemma to get
181 = 9 x 20 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1294 and 923 is 1
Notice that 1 = HCF(9,1) = HCF(181,9) = HCF(371,181) = HCF(923,371) = HCF(1294,923) .
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Frequently Asked Questions on HCF of 1294, 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 1294, 923?
Answer: HCF of 1294, 923 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1294, 923 using Euclid's Algorithm?
Answer: For arbitrary numbers 1294, 923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.