Highest Common Factor of 2923, 4756 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 2923, 4756 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2923, 4756 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 2923, 4756 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 2923, 4756 is 1.
HCF(2923, 4756) = 1
HCF of 2923, 4756 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2923, 4756 is 1.
Highest Common Factor of 2923,4756 is 1
Step 1: Since 4756 > 2923, we apply the division lemma to 4756 and 2923, to get
4756 = 2923 x 1 + 1833
Step 2: Since the reminder 2923 ≠ 0, we apply division lemma to 1833 and 2923, to get
2923 = 1833 x 1 + 1090
Step 3: We consider the new divisor 1833 and the new remainder 1090, and apply the division lemma to get
1833 = 1090 x 1 + 743
We consider the new divisor 1090 and the new remainder 743,and apply the division lemma to get
1090 = 743 x 1 + 347
We consider the new divisor 743 and the new remainder 347,and apply the division lemma to get
743 = 347 x 2 + 49
We consider the new divisor 347 and the new remainder 49,and apply the division lemma to get
347 = 49 x 7 + 4
We consider the new divisor 49 and the new remainder 4,and apply the division lemma to get
49 = 4 x 12 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2923 and 4756 is 1
Notice that 1 = HCF(4,1) = HCF(49,4) = HCF(347,49) = HCF(743,347) = HCF(1090,743) = HCF(1833,1090) = HCF(2923,1833) = HCF(4756,2923) .
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Frequently Asked Questions on HCF of 2923, 4756 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 2923, 4756?
Answer: HCF of 2923, 4756 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2923, 4756 using Euclid's Algorithm?
Answer: For arbitrary numbers 2923, 4756 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.