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 1799, 662 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1799, 662 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 1799, 662 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 1799, 662 is 1.
HCF(1799, 662) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1799, 662 is 1.
Step 1: Since 1799 > 662, we apply the division lemma to 1799 and 662, to get
1799 = 662 x 2 + 475
Step 2: Since the reminder 662 ≠ 0, we apply division lemma to 475 and 662, to get
662 = 475 x 1 + 187
Step 3: We consider the new divisor 475 and the new remainder 187, and apply the division lemma to get
475 = 187 x 2 + 101
We consider the new divisor 187 and the new remainder 101,and apply the division lemma to get
187 = 101 x 1 + 86
We consider the new divisor 101 and the new remainder 86,and apply the division lemma to get
101 = 86 x 1 + 15
We consider the new divisor 86 and the new remainder 15,and apply the division lemma to get
86 = 15 x 5 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1799 and 662 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(86,15) = HCF(101,86) = HCF(187,101) = HCF(475,187) = HCF(662,475) = HCF(1799,662) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 1799, 662?
Answer: HCF of 1799, 662 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1799, 662 using Euclid's Algorithm?
Answer: For arbitrary numbers 1799, 662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.