Highest Common Factor of 4976, 6923 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 4976, 6923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4976, 6923 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 4976, 6923 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 4976, 6923 is 1.
HCF(4976, 6923) = 1
HCF of 4976, 6923 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4976, 6923 is 1.
Highest Common Factor of 4976,6923 is 1
Step 1: Since 6923 > 4976, we apply the division lemma to 6923 and 4976, to get
6923 = 4976 x 1 + 1947
Step 2: Since the reminder 4976 ≠ 0, we apply division lemma to 1947 and 4976, to get
4976 = 1947 x 2 + 1082
Step 3: We consider the new divisor 1947 and the new remainder 1082, and apply the division lemma to get
1947 = 1082 x 1 + 865
We consider the new divisor 1082 and the new remainder 865,and apply the division lemma to get
1082 = 865 x 1 + 217
We consider the new divisor 865 and the new remainder 217,and apply the division lemma to get
865 = 217 x 3 + 214
We consider the new divisor 217 and the new remainder 214,and apply the division lemma to get
217 = 214 x 1 + 3
We consider the new divisor 214 and the new remainder 3,and apply the division lemma to get
214 = 3 x 71 + 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 4976 and 6923 is 1
Notice that 1 = HCF(3,1) = HCF(214,3) = HCF(217,214) = HCF(865,217) = HCF(1082,865) = HCF(1947,1082) = HCF(4976,1947) = HCF(6923,4976) .
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Frequently Asked Questions on HCF of 4976, 6923 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 4976, 6923?
Answer: HCF of 4976, 6923 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4976, 6923 using Euclid's Algorithm?
Answer: For arbitrary numbers 4976, 6923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.