Highest Common Factor of 6602, 7466 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 6602, 7466 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6602, 7466 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 6602, 7466 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 6602, 7466 is 2.
HCF(6602, 7466) = 2
HCF of 6602, 7466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6602, 7466 is 2.
Highest Common Factor of 6602,7466 is 2
Step 1: Since 7466 > 6602, we apply the division lemma to 7466 and 6602, to get
7466 = 6602 x 1 + 864
Step 2: Since the reminder 6602 ≠ 0, we apply division lemma to 864 and 6602, to get
6602 = 864 x 7 + 554
Step 3: We consider the new divisor 864 and the new remainder 554, and apply the division lemma to get
864 = 554 x 1 + 310
We consider the new divisor 554 and the new remainder 310,and apply the division lemma to get
554 = 310 x 1 + 244
We consider the new divisor 310 and the new remainder 244,and apply the division lemma to get
310 = 244 x 1 + 66
We consider the new divisor 244 and the new remainder 66,and apply the division lemma to get
244 = 66 x 3 + 46
We consider the new divisor 66 and the new remainder 46,and apply the division lemma to get
66 = 46 x 1 + 20
We consider the new divisor 46 and the new remainder 20,and apply the division lemma to get
46 = 20 x 2 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6602 and 7466 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(46,20) = HCF(66,46) = HCF(244,66) = HCF(310,244) = HCF(554,310) = HCF(864,554) = HCF(6602,864) = HCF(7466,6602) .
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Frequently Asked Questions on HCF of 6602, 7466 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 6602, 7466?
Answer: HCF of 6602, 7466 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6602, 7466 using Euclid's Algorithm?
Answer: For arbitrary numbers 6602, 7466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.