Highest Common Factor of 318, 954, 867 using Euclid's algorithm
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 318, 954, 867 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 318, 954, 867 is 3 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 318, 954, 867 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 318, 954, 867 is 3.
HCF(318, 954, 867) = 3
HCF of 318, 954, 867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 318, 954, 867 is 3.
Highest Common Factor of 318,954,867 is 3
Step 1: Since 954 > 318, we apply the division lemma to 954 and 318, to get
954 = 318 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 318, the HCF of 318 and 954 is 318
Notice that 318 = HCF(954,318) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 867 > 318, we apply the division lemma to 867 and 318, to get
867 = 318 x 2 + 231
Step 2: Since the reminder 318 ≠ 0, we apply division lemma to 231 and 318, to get
318 = 231 x 1 + 87
Step 3: We consider the new divisor 231 and the new remainder 87, and apply the division lemma to get
231 = 87 x 2 + 57
We consider the new divisor 87 and the new remainder 57,and apply the division lemma to get
87 = 57 x 1 + 30
We consider the new divisor 57 and the new remainder 30,and apply the division lemma to get
57 = 30 x 1 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 318 and 867 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(57,30) = HCF(87,57) = HCF(231,87) = HCF(318,231) = HCF(867,318) .
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Frequently Asked Questions on HCF of 318, 954, 867 using Euclid's Algorithm
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 318, 954, 867?
Answer: HCF of 318, 954, 867 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 318, 954, 867 using Euclid's Algorithm?
Answer: For arbitrary numbers 318, 954, 867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.