Highest Common Factor of 4267, 6479 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 4267, 6479 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4267, 6479 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 4267, 6479 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 4267, 6479 is 1.
HCF(4267, 6479) = 1
HCF of 4267, 6479 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4267, 6479 is 1.
Highest Common Factor of 4267,6479 is 1
Step 1: Since 6479 > 4267, we apply the division lemma to 6479 and 4267, to get
6479 = 4267 x 1 + 2212
Step 2: Since the reminder 4267 ≠ 0, we apply division lemma to 2212 and 4267, to get
4267 = 2212 x 1 + 2055
Step 3: We consider the new divisor 2212 and the new remainder 2055, and apply the division lemma to get
2212 = 2055 x 1 + 157
We consider the new divisor 2055 and the new remainder 157,and apply the division lemma to get
2055 = 157 x 13 + 14
We consider the new divisor 157 and the new remainder 14,and apply the division lemma to get
157 = 14 x 11 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4267 and 6479 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(157,14) = HCF(2055,157) = HCF(2212,2055) = HCF(4267,2212) = HCF(6479,4267) .
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Frequently Asked Questions on HCF of 4267, 6479 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 4267, 6479?
Answer: HCF of 4267, 6479 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4267, 6479 using Euclid's Algorithm?
Answer: For arbitrary numbers 4267, 6479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
