Highest Common Factor of 4993, 6472 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 4993, 6472 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4993, 6472 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 4993, 6472 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 4993, 6472 is 1.
HCF(4993, 6472) = 1
HCF of 4993, 6472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4993, 6472 is 1.
Highest Common Factor of 4993,6472 is 1
Step 1: Since 6472 > 4993, we apply the division lemma to 6472 and 4993, to get
6472 = 4993 x 1 + 1479
Step 2: Since the reminder 4993 ≠ 0, we apply division lemma to 1479 and 4993, to get
4993 = 1479 x 3 + 556
Step 3: We consider the new divisor 1479 and the new remainder 556, and apply the division lemma to get
1479 = 556 x 2 + 367
We consider the new divisor 556 and the new remainder 367,and apply the division lemma to get
556 = 367 x 1 + 189
We consider the new divisor 367 and the new remainder 189,and apply the division lemma to get
367 = 189 x 1 + 178
We consider the new divisor 189 and the new remainder 178,and apply the division lemma to get
189 = 178 x 1 + 11
We consider the new divisor 178 and the new remainder 11,and apply the division lemma to get
178 = 11 x 16 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 4993 and 6472 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(178,11) = HCF(189,178) = HCF(367,189) = HCF(556,367) = HCF(1479,556) = HCF(4993,1479) = HCF(6472,4993) .
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Frequently Asked Questions on HCF of 4993, 6472 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 4993, 6472?
Answer: HCF of 4993, 6472 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4993, 6472 using Euclid's Algorithm?
Answer: For arbitrary numbers 4993, 6472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.