Highest Common Factor of 1710, 633 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 1710, 633 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1710, 633 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 1710, 633 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 1710, 633 is 3.
HCF(1710, 633) = 3
HCF of 1710, 633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1710, 633 is 3.
Highest Common Factor of 1710,633 is 3
Step 1: Since 1710 > 633, we apply the division lemma to 1710 and 633, to get
1710 = 633 x 2 + 444
Step 2: Since the reminder 633 ≠ 0, we apply division lemma to 444 and 633, to get
633 = 444 x 1 + 189
Step 3: We consider the new divisor 444 and the new remainder 189, and apply the division lemma to get
444 = 189 x 2 + 66
We consider the new divisor 189 and the new remainder 66,and apply the division lemma to get
189 = 66 x 2 + 57
We consider the new divisor 66 and the new remainder 57,and apply the division lemma to get
66 = 57 x 1 + 9
We consider the new divisor 57 and the new remainder 9,and apply the division lemma to get
57 = 9 x 6 + 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 1710 and 633 is 3
Notice that 3 = HCF(9,3) = HCF(57,9) = HCF(66,57) = HCF(189,66) = HCF(444,189) = HCF(633,444) = HCF(1710,633) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1710, 633 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 1710, 633?
Answer: HCF of 1710, 633 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1710, 633 using Euclid's Algorithm?
Answer: For arbitrary numbers 1710, 633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.