Highest Common Factor of 427, 854, 236 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 427, 854, 236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 427, 854, 236 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 427, 854, 236 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 427, 854, 236 is 1.
HCF(427, 854, 236) = 1
HCF of 427, 854, 236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 427, 854, 236 is 1.
Highest Common Factor of 427,854,236 is 1
Step 1: Since 854 > 427, we apply the division lemma to 854 and 427, to get
854 = 427 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 427, the HCF of 427 and 854 is 427
Notice that 427 = HCF(854,427) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 427 > 236, we apply the division lemma to 427 and 236, to get
427 = 236 x 1 + 191
Step 2: Since the reminder 236 ≠ 0, we apply division lemma to 191 and 236, to get
236 = 191 x 1 + 45
Step 3: We consider the new divisor 191 and the new remainder 45, and apply the division lemma to get
191 = 45 x 4 + 11
We consider the new divisor 45 and the new remainder 11,and apply the division lemma to get
45 = 11 x 4 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 427 and 236 is 1
Notice that 1 = HCF(11,1) = HCF(45,11) = HCF(191,45) = HCF(236,191) = HCF(427,236) .
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Frequently Asked Questions on HCF of 427, 854, 236 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 427, 854, 236?
Answer: HCF of 427, 854, 236 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 427, 854, 236 using Euclid's Algorithm?
Answer: For arbitrary numbers 427, 854, 236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.