Highest Common Factor of 1313, 7671 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 1313, 7671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1313, 7671 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 1313, 7671 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 1313, 7671 is 1.
HCF(1313, 7671) = 1
HCF of 1313, 7671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1313, 7671 is 1.
Highest Common Factor of 1313,7671 is 1
Step 1: Since 7671 > 1313, we apply the division lemma to 7671 and 1313, to get
7671 = 1313 x 5 + 1106
Step 2: Since the reminder 1313 ≠ 0, we apply division lemma to 1106 and 1313, to get
1313 = 1106 x 1 + 207
Step 3: We consider the new divisor 1106 and the new remainder 207, and apply the division lemma to get
1106 = 207 x 5 + 71
We consider the new divisor 207 and the new remainder 71,and apply the division lemma to get
207 = 71 x 2 + 65
We consider the new divisor 71 and the new remainder 65,and apply the division lemma to get
71 = 65 x 1 + 6
We consider the new divisor 65 and the new remainder 6,and apply the division lemma to get
65 = 6 x 10 + 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 1313 and 7671 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(65,6) = HCF(71,65) = HCF(207,71) = HCF(1106,207) = HCF(1313,1106) = HCF(7671,1313) .
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Frequently Asked Questions on HCF of 1313, 7671 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 1313, 7671?
Answer: HCF of 1313, 7671 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1313, 7671 using Euclid's Algorithm?
Answer: For arbitrary numbers 1313, 7671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.