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 179, 690 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 179, 690 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 179, 690 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 179, 690 is 1.
HCF(179, 690) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 179, 690 is 1.
Step 1: Since 690 > 179, we apply the division lemma to 690 and 179, to get
690 = 179 x 3 + 153
Step 2: Since the reminder 179 ≠ 0, we apply division lemma to 153 and 179, to get
179 = 153 x 1 + 26
Step 3: We consider the new divisor 153 and the new remainder 26, and apply the division lemma to get
153 = 26 x 5 + 23
We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 179 and 690 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(153,26) = HCF(179,153) = HCF(690,179) .
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 179, 690?
Answer: HCF of 179, 690 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 179, 690 using Euclid's Algorithm?
Answer: For arbitrary numbers 179, 690 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.