Highest Common Factor of 3256, 1735 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 3256, 1735 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3256, 1735 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 3256, 1735 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 3256, 1735 is 1.
HCF(3256, 1735) = 1
HCF of 3256, 1735 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3256, 1735 is 1.
Highest Common Factor of 3256,1735 is 1
Step 1: Since 3256 > 1735, we apply the division lemma to 3256 and 1735, to get
3256 = 1735 x 1 + 1521
Step 2: Since the reminder 1735 ≠ 0, we apply division lemma to 1521 and 1735, to get
1735 = 1521 x 1 + 214
Step 3: We consider the new divisor 1521 and the new remainder 214, and apply the division lemma to get
1521 = 214 x 7 + 23
We consider the new divisor 214 and the new remainder 23,and apply the division lemma to get
214 = 23 x 9 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3256 and 1735 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(214,23) = HCF(1521,214) = HCF(1735,1521) = HCF(3256,1735) .
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Frequently Asked Questions on HCF of 3256, 1735 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 3256, 1735?
Answer: HCF of 3256, 1735 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3256, 1735 using Euclid's Algorithm?
Answer: For arbitrary numbers 3256, 1735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.