Highest Common Factor of 4768, 8005 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 4768, 8005 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4768, 8005 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 4768, 8005 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 4768, 8005 is 1.
HCF(4768, 8005) = 1
HCF of 4768, 8005 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4768, 8005 is 1.
Highest Common Factor of 4768,8005 is 1
Step 1: Since 8005 > 4768, we apply the division lemma to 8005 and 4768, to get
8005 = 4768 x 1 + 3237
Step 2: Since the reminder 4768 ≠ 0, we apply division lemma to 3237 and 4768, to get
4768 = 3237 x 1 + 1531
Step 3: We consider the new divisor 3237 and the new remainder 1531, and apply the division lemma to get
3237 = 1531 x 2 + 175
We consider the new divisor 1531 and the new remainder 175,and apply the division lemma to get
1531 = 175 x 8 + 131
We consider the new divisor 175 and the new remainder 131,and apply the division lemma to get
175 = 131 x 1 + 44
We consider the new divisor 131 and the new remainder 44,and apply the division lemma to get
131 = 44 x 2 + 43
We consider the new divisor 44 and the new remainder 43,and apply the division lemma to get
44 = 43 x 1 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4768 and 8005 is 1
Notice that 1 = HCF(43,1) = HCF(44,43) = HCF(131,44) = HCF(175,131) = HCF(1531,175) = HCF(3237,1531) = HCF(4768,3237) = HCF(8005,4768) .
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Frequently Asked Questions on HCF of 4768, 8005 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 4768, 8005?
Answer: HCF of 4768, 8005 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4768, 8005 using Euclid's Algorithm?
Answer: For arbitrary numbers 4768, 8005 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
