Highest Common Factor of 3260, 1341 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 3260, 1341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3260, 1341 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 3260, 1341 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 3260, 1341 is 1.
HCF(3260, 1341) = 1
HCF of 3260, 1341 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3260, 1341 is 1.
Highest Common Factor of 3260,1341 is 1
Step 1: Since 3260 > 1341, we apply the division lemma to 3260 and 1341, to get
3260 = 1341 x 2 + 578
Step 2: Since the reminder 1341 ≠ 0, we apply division lemma to 578 and 1341, to get
1341 = 578 x 2 + 185
Step 3: We consider the new divisor 578 and the new remainder 185, and apply the division lemma to get
578 = 185 x 3 + 23
We consider the new divisor 185 and the new remainder 23,and apply the division lemma to get
185 = 23 x 8 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3260 and 1341 is 1
Notice that 1 = HCF(23,1) = HCF(185,23) = HCF(578,185) = HCF(1341,578) = HCF(3260,1341) .
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Frequently Asked Questions on HCF of 3260, 1341 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 3260, 1341?
Answer: HCF of 3260, 1341 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3260, 1341 using Euclid's Algorithm?
Answer: For arbitrary numbers 3260, 1341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.