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 954, 371, 418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 954, 371, 418 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 954, 371, 418 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 954, 371, 418 is 1.
HCF(954, 371, 418) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 954, 371, 418 is 1.
Step 1: Since 954 > 371, we apply the division lemma to 954 and 371, to get
954 = 371 x 2 + 212
Step 2: Since the reminder 371 ≠ 0, we apply division lemma to 212 and 371, to get
371 = 212 x 1 + 159
Step 3: We consider the new divisor 212 and the new remainder 159, and apply the division lemma to get
212 = 159 x 1 + 53
We consider the new divisor 159 and the new remainder 53, and apply the division lemma to get
159 = 53 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 954 and 371 is 53
Notice that 53 = HCF(159,53) = HCF(212,159) = HCF(371,212) = HCF(954,371) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 418 > 53, we apply the division lemma to 418 and 53, to get
418 = 53 x 7 + 47
Step 2: Since the reminder 53 ≠ 0, we apply division lemma to 47 and 53, to get
53 = 47 x 1 + 6
Step 3: We consider the new divisor 47 and the new remainder 6, and apply the division lemma to get
47 = 6 x 7 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 53 and 418 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(47,6) = HCF(53,47) = HCF(418,53) .
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 954, 371, 418?
Answer: HCF of 954, 371, 418 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 954, 371, 418 using Euclid's Algorithm?
Answer: For arbitrary numbers 954, 371, 418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.