Highest Common Factor of 8499, 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 8499, 1764 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8499, 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 8499, 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 8499, 1764 is 3.
HCF(8499, 1764) = 3
HCF of 8499, 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 8499, 1764 is 3.
Highest Common Factor of 8499,1764 is 3
Step 1: Since 8499 > 1764, we apply the division lemma to 8499 and 1764, to get
8499 = 1764 x 4 + 1443
Step 2: Since the reminder 1764 ≠ 0, we apply division lemma to 1443 and 1764, to get
1764 = 1443 x 1 + 321
Step 3: We consider the new divisor 1443 and the new remainder 321, and apply the division lemma to get
1443 = 321 x 4 + 159
We consider the new divisor 321 and the new remainder 159,and apply the division lemma to get
321 = 159 x 2 + 3
We consider the new divisor 159 and the new remainder 3,and apply the division lemma to get
159 = 3 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8499 and 1764 is 3
Notice that 3 = HCF(159,3) = HCF(321,159) = HCF(1443,321) = HCF(1764,1443) = HCF(8499,1764) .
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Frequently Asked Questions on HCF of 8499, 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 8499, 1764?
Answer: HCF of 8499, 1764 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8499, 1764 using Euclid's Algorithm?
Answer: For arbitrary numbers 8499, 1764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.