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 628, 17371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 17371 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 628, 17371 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 628, 17371 is 1.
HCF(628, 17371) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 628, 17371 is 1.
Step 1: Since 17371 > 628, we apply the division lemma to 17371 and 628, to get
17371 = 628 x 27 + 415
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 415 and 628, to get
628 = 415 x 1 + 213
Step 3: We consider the new divisor 415 and the new remainder 213, and apply the division lemma to get
415 = 213 x 1 + 202
We consider the new divisor 213 and the new remainder 202,and apply the division lemma to get
213 = 202 x 1 + 11
We consider the new divisor 202 and the new remainder 11,and apply the division lemma to get
202 = 11 x 18 + 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 628 and 17371 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(202,11) = HCF(213,202) = HCF(415,213) = HCF(628,415) = HCF(17371,628) .
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 628, 17371?
Answer: HCF of 628, 17371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 17371 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 17371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.