Highest Common Factor of 658, 3103, 6272 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 658, 3103, 6272 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 658, 3103, 6272 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 658, 3103, 6272 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 658, 3103, 6272 is 1.
HCF(658, 3103, 6272) = 1
HCF of 658, 3103, 6272 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 658, 3103, 6272 is 1.
Highest Common Factor of 658,3103,6272 is 1
Step 1: Since 3103 > 658, we apply the division lemma to 3103 and 658, to get
3103 = 658 x 4 + 471
Step 2: Since the reminder 658 ≠ 0, we apply division lemma to 471 and 658, to get
658 = 471 x 1 + 187
Step 3: We consider the new divisor 471 and the new remainder 187, and apply the division lemma to get
471 = 187 x 2 + 97
We consider the new divisor 187 and the new remainder 97,and apply the division lemma to get
187 = 97 x 1 + 90
We consider the new divisor 97 and the new remainder 90,and apply the division lemma to get
97 = 90 x 1 + 7
We consider the new divisor 90 and the new remainder 7,and apply the division lemma to get
90 = 7 x 12 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 658 and 3103 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(90,7) = HCF(97,90) = HCF(187,97) = HCF(471,187) = HCF(658,471) = HCF(3103,658) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6272 > 1, we apply the division lemma to 6272 and 1, to get
6272 = 1 x 6272 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6272 is 1
Notice that 1 = HCF(6272,1) .
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Frequently Asked Questions on HCF of 658, 3103, 6272 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 658, 3103, 6272?
Answer: HCF of 658, 3103, 6272 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 658, 3103, 6272 using Euclid's Algorithm?
Answer: For arbitrary numbers 658, 3103, 6272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.