Highest Common Factor of 6508, 3642 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 6508, 3642 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6508, 3642 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 6508, 3642 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 6508, 3642 is 2.
HCF(6508, 3642) = 2
HCF of 6508, 3642 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6508, 3642 is 2.
Highest Common Factor of 6508,3642 is 2
Step 1: Since 6508 > 3642, we apply the division lemma to 6508 and 3642, to get
6508 = 3642 x 1 + 2866
Step 2: Since the reminder 3642 ≠ 0, we apply division lemma to 2866 and 3642, to get
3642 = 2866 x 1 + 776
Step 3: We consider the new divisor 2866 and the new remainder 776, and apply the division lemma to get
2866 = 776 x 3 + 538
We consider the new divisor 776 and the new remainder 538,and apply the division lemma to get
776 = 538 x 1 + 238
We consider the new divisor 538 and the new remainder 238,and apply the division lemma to get
538 = 238 x 2 + 62
We consider the new divisor 238 and the new remainder 62,and apply the division lemma to get
238 = 62 x 3 + 52
We consider the new divisor 62 and the new remainder 52,and apply the division lemma to get
62 = 52 x 1 + 10
We consider the new divisor 52 and the new remainder 10,and apply the division lemma to get
52 = 10 x 5 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6508 and 3642 is 2
Notice that 2 = HCF(10,2) = HCF(52,10) = HCF(62,52) = HCF(238,62) = HCF(538,238) = HCF(776,538) = HCF(2866,776) = HCF(3642,2866) = HCF(6508,3642) .
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Frequently Asked Questions on HCF of 6508, 3642 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 6508, 3642?
Answer: HCF of 6508, 3642 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6508, 3642 using Euclid's Algorithm?
Answer: For arbitrary numbers 6508, 3642 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.