Highest Common Factor of 7671, 5650 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 7671, 5650 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7671, 5650 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 7671, 5650 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 7671, 5650 is 1.
HCF(7671, 5650) = 1
HCF of 7671, 5650 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7671, 5650 is 1.
Highest Common Factor of 7671,5650 is 1
Step 1: Since 7671 > 5650, we apply the division lemma to 7671 and 5650, to get
7671 = 5650 x 1 + 2021
Step 2: Since the reminder 5650 ≠ 0, we apply division lemma to 2021 and 5650, to get
5650 = 2021 x 2 + 1608
Step 3: We consider the new divisor 2021 and the new remainder 1608, and apply the division lemma to get
2021 = 1608 x 1 + 413
We consider the new divisor 1608 and the new remainder 413,and apply the division lemma to get
1608 = 413 x 3 + 369
We consider the new divisor 413 and the new remainder 369,and apply the division lemma to get
413 = 369 x 1 + 44
We consider the new divisor 369 and the new remainder 44,and apply the division lemma to get
369 = 44 x 8 + 17
We consider the new divisor 44 and the new remainder 17,and apply the division lemma to get
44 = 17 x 2 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 7671 and 5650 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(44,17) = HCF(369,44) = HCF(413,369) = HCF(1608,413) = HCF(2021,1608) = HCF(5650,2021) = HCF(7671,5650) .
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Frequently Asked Questions on HCF of 7671, 5650 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 7671, 5650?
Answer: HCF of 7671, 5650 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7671, 5650 using Euclid's Algorithm?
Answer: For arbitrary numbers 7671, 5650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.