Highest Common Factor of 3286, 5735 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 3286, 5735 i.e. 31 the largest integer that leaves a remainder zero for all numbers.
HCF of 3286, 5735 is 31 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 3286, 5735 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 3286, 5735 is 31.
HCF(3286, 5735) = 31
HCF of 3286, 5735 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3286, 5735 is 31.
Highest Common Factor of 3286,5735 is 31
Step 1: Since 5735 > 3286, we apply the division lemma to 5735 and 3286, to get
5735 = 3286 x 1 + 2449
Step 2: Since the reminder 3286 ≠ 0, we apply division lemma to 2449 and 3286, to get
3286 = 2449 x 1 + 837
Step 3: We consider the new divisor 2449 and the new remainder 837, and apply the division lemma to get
2449 = 837 x 2 + 775
We consider the new divisor 837 and the new remainder 775,and apply the division lemma to get
837 = 775 x 1 + 62
We consider the new divisor 775 and the new remainder 62,and apply the division lemma to get
775 = 62 x 12 + 31
We consider the new divisor 62 and the new remainder 31,and apply the division lemma to get
62 = 31 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 3286 and 5735 is 31
Notice that 31 = HCF(62,31) = HCF(775,62) = HCF(837,775) = HCF(2449,837) = HCF(3286,2449) = HCF(5735,3286) .
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Frequently Asked Questions on HCF of 3286, 5735 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 3286, 5735?
Answer: HCF of 3286, 5735 is 31 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3286, 5735 using Euclid's Algorithm?
Answer: For arbitrary numbers 3286, 5735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.