Highest Common Factor of 4899, 1764 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 4899, 1764 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4899, 1764 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 4899, 1764 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 4899, 1764 is 3.
HCF(4899, 1764) = 3
HCF of 4899, 1764 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4899, 1764 is 3.
Highest Common Factor of 4899,1764 is 3
Step 1: Since 4899 > 1764, we apply the division lemma to 4899 and 1764, to get
4899 = 1764 x 2 + 1371
Step 2: Since the reminder 1764 ≠ 0, we apply division lemma to 1371 and 1764, to get
1764 = 1371 x 1 + 393
Step 3: We consider the new divisor 1371 and the new remainder 393, and apply the division lemma to get
1371 = 393 x 3 + 192
We consider the new divisor 393 and the new remainder 192,and apply the division lemma to get
393 = 192 x 2 + 9
We consider the new divisor 192 and the new remainder 9,and apply the division lemma to get
192 = 9 x 21 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4899 and 1764 is 3
Notice that 3 = HCF(9,3) = HCF(192,9) = HCF(393,192) = HCF(1371,393) = HCF(1764,1371) = HCF(4899,1764) .
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Frequently Asked Questions on HCF of 4899, 1764 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 4899, 1764?
Answer: HCF of 4899, 1764 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4899, 1764 using Euclid's Algorithm?
Answer: For arbitrary numbers 4899, 1764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.