Highest Common Factor of 4766, 4993, 92764 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 4766, 4993, 92764 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4766, 4993, 92764 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 4766, 4993, 92764 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 4766, 4993, 92764 is 1.
HCF(4766, 4993, 92764) = 1
HCF of 4766, 4993, 92764 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4766, 4993, 92764 is 1.
Highest Common Factor of 4766,4993,92764 is 1
Step 1: Since 4993 > 4766, we apply the division lemma to 4993 and 4766, to get
4993 = 4766 x 1 + 227
Step 2: Since the reminder 4766 ≠ 0, we apply division lemma to 227 and 4766, to get
4766 = 227 x 20 + 226
Step 3: We consider the new divisor 227 and the new remainder 226, and apply the division lemma to get
227 = 226 x 1 + 1
We consider the new divisor 226 and the new remainder 1, and apply the division lemma to get
226 = 1 x 226 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4766 and 4993 is 1
Notice that 1 = HCF(226,1) = HCF(227,226) = HCF(4766,227) = HCF(4993,4766) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92764 > 1, we apply the division lemma to 92764 and 1, to get
92764 = 1 x 92764 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92764 is 1
Notice that 1 = HCF(92764,1) .
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Frequently Asked Questions on HCF of 4766, 4993, 92764 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 4766, 4993, 92764?
Answer: HCF of 4766, 4993, 92764 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4766, 4993, 92764 using Euclid's Algorithm?
Answer: For arbitrary numbers 4766, 4993, 92764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.