Highest Common Factor of 3911, 3290 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 3911, 3290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3911, 3290 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 3911, 3290 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 3911, 3290 is 1.
HCF(3911, 3290) = 1
HCF of 3911, 3290 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3911, 3290 is 1.
Highest Common Factor of 3911,3290 is 1
Step 1: Since 3911 > 3290, we apply the division lemma to 3911 and 3290, to get
3911 = 3290 x 1 + 621
Step 2: Since the reminder 3290 ≠ 0, we apply division lemma to 621 and 3290, to get
3290 = 621 x 5 + 185
Step 3: We consider the new divisor 621 and the new remainder 185, and apply the division lemma to get
621 = 185 x 3 + 66
We consider the new divisor 185 and the new remainder 66,and apply the division lemma to get
185 = 66 x 2 + 53
We consider the new divisor 66 and the new remainder 53,and apply the division lemma to get
66 = 53 x 1 + 13
We consider the new divisor 53 and the new remainder 13,and apply the division lemma to get
53 = 13 x 4 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3911 and 3290 is 1
Notice that 1 = HCF(13,1) = HCF(53,13) = HCF(66,53) = HCF(185,66) = HCF(621,185) = HCF(3290,621) = HCF(3911,3290) .
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Frequently Asked Questions on HCF of 3911, 3290 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 3911, 3290?
Answer: HCF of 3911, 3290 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3911, 3290 using Euclid's Algorithm?
Answer: For arbitrary numbers 3911, 3290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
