Highest Common Factor of 6486, 7064 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 6486, 7064 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6486, 7064 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 6486, 7064 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 6486, 7064 is 2.
HCF(6486, 7064) = 2
HCF of 6486, 7064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6486, 7064 is 2.
Highest Common Factor of 6486,7064 is 2
Step 1: Since 7064 > 6486, we apply the division lemma to 7064 and 6486, to get
7064 = 6486 x 1 + 578
Step 2: Since the reminder 6486 ≠ 0, we apply division lemma to 578 and 6486, to get
6486 = 578 x 11 + 128
Step 3: We consider the new divisor 578 and the new remainder 128, and apply the division lemma to get
578 = 128 x 4 + 66
We consider the new divisor 128 and the new remainder 66,and apply the division lemma to get
128 = 66 x 1 + 62
We consider the new divisor 66 and the new remainder 62,and apply the division lemma to get
66 = 62 x 1 + 4
We consider the new divisor 62 and the new remainder 4,and apply the division lemma to get
62 = 4 x 15 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6486 and 7064 is 2
Notice that 2 = HCF(4,2) = HCF(62,4) = HCF(66,62) = HCF(128,66) = HCF(578,128) = HCF(6486,578) = HCF(7064,6486) .
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Frequently Asked Questions on HCF of 6486, 7064 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 6486, 7064?
Answer: HCF of 6486, 7064 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6486, 7064 using Euclid's Algorithm?
Answer: For arbitrary numbers 6486, 7064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
