Highest Common Factor of 3310, 8511 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 3310, 8511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3310, 8511 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 3310, 8511 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 3310, 8511 is 1.
HCF(3310, 8511) = 1
HCF of 3310, 8511 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3310, 8511 is 1.
Highest Common Factor of 3310,8511 is 1
Step 1: Since 8511 > 3310, we apply the division lemma to 8511 and 3310, to get
8511 = 3310 x 2 + 1891
Step 2: Since the reminder 3310 ≠ 0, we apply division lemma to 1891 and 3310, to get
3310 = 1891 x 1 + 1419
Step 3: We consider the new divisor 1891 and the new remainder 1419, and apply the division lemma to get
1891 = 1419 x 1 + 472
We consider the new divisor 1419 and the new remainder 472,and apply the division lemma to get
1419 = 472 x 3 + 3
We consider the new divisor 472 and the new remainder 3,and apply the division lemma to get
472 = 3 x 157 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3310 and 8511 is 1
Notice that 1 = HCF(3,1) = HCF(472,3) = HCF(1419,472) = HCF(1891,1419) = HCF(3310,1891) = HCF(8511,3310) .
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Frequently Asked Questions on HCF of 3310, 8511 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 3310, 8511?
Answer: HCF of 3310, 8511 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3310, 8511 using Euclid's Algorithm?
Answer: For arbitrary numbers 3310, 8511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.