Highest Common Factor of 4123, 6468 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 4123, 6468 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4123, 6468 is 7 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 4123, 6468 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 4123, 6468 is 7.
HCF(4123, 6468) = 7
HCF of 4123, 6468 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4123, 6468 is 7.
Highest Common Factor of 4123,6468 is 7
Step 1: Since 6468 > 4123, we apply the division lemma to 6468 and 4123, to get
6468 = 4123 x 1 + 2345
Step 2: Since the reminder 4123 ≠ 0, we apply division lemma to 2345 and 4123, to get
4123 = 2345 x 1 + 1778
Step 3: We consider the new divisor 2345 and the new remainder 1778, and apply the division lemma to get
2345 = 1778 x 1 + 567
We consider the new divisor 1778 and the new remainder 567,and apply the division lemma to get
1778 = 567 x 3 + 77
We consider the new divisor 567 and the new remainder 77,and apply the division lemma to get
567 = 77 x 7 + 28
We consider the new divisor 77 and the new remainder 28,and apply the division lemma to get
77 = 28 x 2 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4123 and 6468 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(77,28) = HCF(567,77) = HCF(1778,567) = HCF(2345,1778) = HCF(4123,2345) = HCF(6468,4123) .
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Frequently Asked Questions on HCF of 4123, 6468 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 4123, 6468?
Answer: HCF of 4123, 6468 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4123, 6468 using Euclid's Algorithm?
Answer: For arbitrary numbers 4123, 6468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
