Highest Common Factor of 1306, 7141, 97111 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 1306, 7141, 97111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1306, 7141, 97111 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 1306, 7141, 97111 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 1306, 7141, 97111 is 1.
HCF(1306, 7141, 97111) = 1
HCF of 1306, 7141, 97111 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1306, 7141, 97111 is 1.
Highest Common Factor of 1306,7141,97111 is 1
Step 1: Since 7141 > 1306, we apply the division lemma to 7141 and 1306, to get
7141 = 1306 x 5 + 611
Step 2: Since the reminder 1306 ≠ 0, we apply division lemma to 611 and 1306, to get
1306 = 611 x 2 + 84
Step 3: We consider the new divisor 611 and the new remainder 84, and apply the division lemma to get
611 = 84 x 7 + 23
We consider the new divisor 84 and the new remainder 23,and apply the division lemma to get
84 = 23 x 3 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1306 and 7141 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(84,23) = HCF(611,84) = HCF(1306,611) = HCF(7141,1306) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97111 > 1, we apply the division lemma to 97111 and 1, to get
97111 = 1 x 97111 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97111 is 1
Notice that 1 = HCF(97111,1) .
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Frequently Asked Questions on HCF of 1306, 7141, 97111 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 1306, 7141, 97111?
Answer: HCF of 1306, 7141, 97111 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1306, 7141, 97111 using Euclid's Algorithm?
Answer: For arbitrary numbers 1306, 7141, 97111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.