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 986, 387, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 986, 387, 571 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 986, 387, 571 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 986, 387, 571 is 1.
HCF(986, 387, 571) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 986, 387, 571 is 1.
Step 1: Since 986 > 387, we apply the division lemma to 986 and 387, to get
986 = 387 x 2 + 212
Step 2: Since the reminder 387 ≠ 0, we apply division lemma to 212 and 387, to get
387 = 212 x 1 + 175
Step 3: We consider the new divisor 212 and the new remainder 175, and apply the division lemma to get
212 = 175 x 1 + 37
We consider the new divisor 175 and the new remainder 37,and apply the division lemma to get
175 = 37 x 4 + 27
We consider the new divisor 37 and the new remainder 27,and apply the division lemma to get
37 = 27 x 1 + 10
We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get
27 = 10 x 2 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 986 and 387 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(37,27) = HCF(175,37) = HCF(212,175) = HCF(387,212) = HCF(986,387) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 571 > 1, we apply the division lemma to 571 and 1, to get
571 = 1 x 571 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 571 is 1
Notice that 1 = HCF(571,1) .
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 986, 387, 571?
Answer: HCF of 986, 387, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 986, 387, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 986, 387, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.