Highest Common Factor of 6208, 3461 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 6208, 3461 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6208, 3461 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 6208, 3461 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 6208, 3461 is 1.
HCF(6208, 3461) = 1
HCF of 6208, 3461 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6208, 3461 is 1.
Highest Common Factor of 6208,3461 is 1
Step 1: Since 6208 > 3461, we apply the division lemma to 6208 and 3461, to get
6208 = 3461 x 1 + 2747
Step 2: Since the reminder 3461 ≠ 0, we apply division lemma to 2747 and 3461, to get
3461 = 2747 x 1 + 714
Step 3: We consider the new divisor 2747 and the new remainder 714, and apply the division lemma to get
2747 = 714 x 3 + 605
We consider the new divisor 714 and the new remainder 605,and apply the division lemma to get
714 = 605 x 1 + 109
We consider the new divisor 605 and the new remainder 109,and apply the division lemma to get
605 = 109 x 5 + 60
We consider the new divisor 109 and the new remainder 60,and apply the division lemma to get
109 = 60 x 1 + 49
We consider the new divisor 60 and the new remainder 49,and apply the division lemma to get
60 = 49 x 1 + 11
We consider the new divisor 49 and the new remainder 11,and apply the division lemma to get
49 = 11 x 4 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6208 and 3461 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(49,11) = HCF(60,49) = HCF(109,60) = HCF(605,109) = HCF(714,605) = HCF(2747,714) = HCF(3461,2747) = HCF(6208,3461) .
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Frequently Asked Questions on HCF of 6208, 3461 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 6208, 3461?
Answer: HCF of 6208, 3461 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6208, 3461 using Euclid's Algorithm?
Answer: For arbitrary numbers 6208, 3461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.