Highest Common Factor of 4890, 6633 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 4890, 6633 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4890, 6633 is 3 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 4890, 6633 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 4890, 6633 is 3.
HCF(4890, 6633) = 3
HCF of 4890, 6633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4890, 6633 is 3.
Highest Common Factor of 4890,6633 is 3
Step 1: Since 6633 > 4890, we apply the division lemma to 6633 and 4890, to get
6633 = 4890 x 1 + 1743
Step 2: Since the reminder 4890 ≠ 0, we apply division lemma to 1743 and 4890, to get
4890 = 1743 x 2 + 1404
Step 3: We consider the new divisor 1743 and the new remainder 1404, and apply the division lemma to get
1743 = 1404 x 1 + 339
We consider the new divisor 1404 and the new remainder 339,and apply the division lemma to get
1404 = 339 x 4 + 48
We consider the new divisor 339 and the new remainder 48,and apply the division lemma to get
339 = 48 x 7 + 3
We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get
48 = 3 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4890 and 6633 is 3
Notice that 3 = HCF(48,3) = HCF(339,48) = HCF(1404,339) = HCF(1743,1404) = HCF(4890,1743) = HCF(6633,4890) .
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Frequently Asked Questions on HCF of 4890, 6633 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 4890, 6633?
Answer: HCF of 4890, 6633 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4890, 6633 using Euclid's Algorithm?
Answer: For arbitrary numbers 4890, 6633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.