Highest Common Factor of 6590, 7046 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 6590, 7046 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6590, 7046 is 2 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 6590, 7046 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 6590, 7046 is 2.
HCF(6590, 7046) = 2
HCF of 6590, 7046 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6590, 7046 is 2.
Highest Common Factor of 6590,7046 is 2
Step 1: Since 7046 > 6590, we apply the division lemma to 7046 and 6590, to get
7046 = 6590 x 1 + 456
Step 2: Since the reminder 6590 ≠ 0, we apply division lemma to 456 and 6590, to get
6590 = 456 x 14 + 206
Step 3: We consider the new divisor 456 and the new remainder 206, and apply the division lemma to get
456 = 206 x 2 + 44
We consider the new divisor 206 and the new remainder 44,and apply the division lemma to get
206 = 44 x 4 + 30
We consider the new divisor 44 and the new remainder 30,and apply the division lemma to get
44 = 30 x 1 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6590 and 7046 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(44,30) = HCF(206,44) = HCF(456,206) = HCF(6590,456) = HCF(7046,6590) .
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Frequently Asked Questions on HCF of 6590, 7046 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 6590, 7046?
Answer: HCF of 6590, 7046 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6590, 7046 using Euclid's Algorithm?
Answer: For arbitrary numbers 6590, 7046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.