Highest Common Factor of 951, 668, 271 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 951, 668, 271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 668, 271 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 951, 668, 271 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 951, 668, 271 is 1.
HCF(951, 668, 271) = 1
HCF of 951, 668, 271 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 951, 668, 271 is 1.
Highest Common Factor of 951,668,271 is 1
Step 1: Since 951 > 668, we apply the division lemma to 951 and 668, to get
951 = 668 x 1 + 283
Step 2: Since the reminder 668 ≠ 0, we apply division lemma to 283 and 668, to get
668 = 283 x 2 + 102
Step 3: We consider the new divisor 283 and the new remainder 102, and apply the division lemma to get
283 = 102 x 2 + 79
We consider the new divisor 102 and the new remainder 79,and apply the division lemma to get
102 = 79 x 1 + 23
We consider the new divisor 79 and the new remainder 23,and apply the division lemma to get
79 = 23 x 3 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 951 and 668 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(79,23) = HCF(102,79) = HCF(283,102) = HCF(668,283) = HCF(951,668) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 271 > 1, we apply the division lemma to 271 and 1, to get
271 = 1 x 271 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 271 is 1
Notice that 1 = HCF(271,1) .
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Frequently Asked Questions on HCF of 951, 668, 271 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 951, 668, 271?
Answer: HCF of 951, 668, 271 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 668, 271 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 668, 271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.