Highest Common Factor of 8602, 6741 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 8602, 6741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8602, 6741 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 8602, 6741 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 8602, 6741 is 1.
HCF(8602, 6741) = 1
HCF of 8602, 6741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8602, 6741 is 1.
Highest Common Factor of 8602,6741 is 1
Step 1: Since 8602 > 6741, we apply the division lemma to 8602 and 6741, to get
8602 = 6741 x 1 + 1861
Step 2: Since the reminder 6741 ≠ 0, we apply division lemma to 1861 and 6741, to get
6741 = 1861 x 3 + 1158
Step 3: We consider the new divisor 1861 and the new remainder 1158, and apply the division lemma to get
1861 = 1158 x 1 + 703
We consider the new divisor 1158 and the new remainder 703,and apply the division lemma to get
1158 = 703 x 1 + 455
We consider the new divisor 703 and the new remainder 455,and apply the division lemma to get
703 = 455 x 1 + 248
We consider the new divisor 455 and the new remainder 248,and apply the division lemma to get
455 = 248 x 1 + 207
We consider the new divisor 248 and the new remainder 207,and apply the division lemma to get
248 = 207 x 1 + 41
We consider the new divisor 207 and the new remainder 41,and apply the division lemma to get
207 = 41 x 5 + 2
We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get
41 = 2 x 20 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8602 and 6741 is 1
Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(207,41) = HCF(248,207) = HCF(455,248) = HCF(703,455) = HCF(1158,703) = HCF(1861,1158) = HCF(6741,1861) = HCF(8602,6741) .
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Frequently Asked Questions on HCF of 8602, 6741 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 8602, 6741?
Answer: HCF of 8602, 6741 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8602, 6741 using Euclid's Algorithm?
Answer: For arbitrary numbers 8602, 6741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.