Highest Common Factor of 3718, 8217 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 3718, 8217 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 3718, 8217 is 11 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 3718, 8217 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 3718, 8217 is 11.
HCF(3718, 8217) = 11
HCF of 3718, 8217 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3718, 8217 is 11.
Highest Common Factor of 3718,8217 is 11
Step 1: Since 8217 > 3718, we apply the division lemma to 8217 and 3718, to get
8217 = 3718 x 2 + 781
Step 2: Since the reminder 3718 ≠ 0, we apply division lemma to 781 and 3718, to get
3718 = 781 x 4 + 594
Step 3: We consider the new divisor 781 and the new remainder 594, and apply the division lemma to get
781 = 594 x 1 + 187
We consider the new divisor 594 and the new remainder 187,and apply the division lemma to get
594 = 187 x 3 + 33
We consider the new divisor 187 and the new remainder 33,and apply the division lemma to get
187 = 33 x 5 + 22
We consider the new divisor 33 and the new remainder 22,and apply the division lemma to get
33 = 22 x 1 + 11
We consider the new divisor 22 and the new remainder 11,and apply the division lemma to get
22 = 11 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 3718 and 8217 is 11
Notice that 11 = HCF(22,11) = HCF(33,22) = HCF(187,33) = HCF(594,187) = HCF(781,594) = HCF(3718,781) = HCF(8217,3718) .
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Frequently Asked Questions on HCF of 3718, 8217 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 3718, 8217?
Answer: HCF of 3718, 8217 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3718, 8217 using Euclid's Algorithm?
Answer: For arbitrary numbers 3718, 8217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.