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 955, 8164, 9186 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 8164, 9186 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 955, 8164, 9186 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 955, 8164, 9186 is 1.
HCF(955, 8164, 9186) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 955, 8164, 9186 is 1.
Step 1: Since 8164 > 955, we apply the division lemma to 8164 and 955, to get
8164 = 955 x 8 + 524
Step 2: Since the reminder 955 ≠ 0, we apply division lemma to 524 and 955, to get
955 = 524 x 1 + 431
Step 3: We consider the new divisor 524 and the new remainder 431, and apply the division lemma to get
524 = 431 x 1 + 93
We consider the new divisor 431 and the new remainder 93,and apply the division lemma to get
431 = 93 x 4 + 59
We consider the new divisor 93 and the new remainder 59,and apply the division lemma to get
93 = 59 x 1 + 34
We consider the new divisor 59 and the new remainder 34,and apply the division lemma to get
59 = 34 x 1 + 25
We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get
34 = 25 x 1 + 9
We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get
25 = 9 x 2 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 955 and 8164 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(59,34) = HCF(93,59) = HCF(431,93) = HCF(524,431) = HCF(955,524) = HCF(8164,955) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9186 > 1, we apply the division lemma to 9186 and 1, to get
9186 = 1 x 9186 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9186 is 1
Notice that 1 = HCF(9186,1) .
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 955, 8164, 9186?
Answer: HCF of 955, 8164, 9186 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 8164, 9186 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 8164, 9186 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.