Highest Common Factor of 4263, 1976 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 4263, 1976 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4263, 1976 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 4263, 1976 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 4263, 1976 is 1.
HCF(4263, 1976) = 1
HCF of 4263, 1976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4263, 1976 is 1.
Highest Common Factor of 4263,1976 is 1
Step 1: Since 4263 > 1976, we apply the division lemma to 4263 and 1976, to get
4263 = 1976 x 2 + 311
Step 2: Since the reminder 1976 ≠ 0, we apply division lemma to 311 and 1976, to get
1976 = 311 x 6 + 110
Step 3: We consider the new divisor 311 and the new remainder 110, and apply the division lemma to get
311 = 110 x 2 + 91
We consider the new divisor 110 and the new remainder 91,and apply the division lemma to get
110 = 91 x 1 + 19
We consider the new divisor 91 and the new remainder 19,and apply the division lemma to get
91 = 19 x 4 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 4263 and 1976 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(91,19) = HCF(110,91) = HCF(311,110) = HCF(1976,311) = HCF(4263,1976) .
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Frequently Asked Questions on HCF of 4263, 1976 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 4263, 1976?
Answer: HCF of 4263, 1976 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4263, 1976 using Euclid's Algorithm?
Answer: For arbitrary numbers 4263, 1976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.