Highest Common Factor of 3359, 1391 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 3359, 1391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3359, 1391 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 3359, 1391 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 3359, 1391 is 1.
HCF(3359, 1391) = 1
HCF of 3359, 1391 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3359, 1391 is 1.
Highest Common Factor of 3359,1391 is 1
Step 1: Since 3359 > 1391, we apply the division lemma to 3359 and 1391, to get
3359 = 1391 x 2 + 577
Step 2: Since the reminder 1391 ≠ 0, we apply division lemma to 577 and 1391, to get
1391 = 577 x 2 + 237
Step 3: We consider the new divisor 577 and the new remainder 237, and apply the division lemma to get
577 = 237 x 2 + 103
We consider the new divisor 237 and the new remainder 103,and apply the division lemma to get
237 = 103 x 2 + 31
We consider the new divisor 103 and the new remainder 31,and apply the division lemma to get
103 = 31 x 3 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3359 and 1391 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(103,31) = HCF(237,103) = HCF(577,237) = HCF(1391,577) = HCF(3359,1391) .
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Frequently Asked Questions on HCF of 3359, 1391 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 3359, 1391?
Answer: HCF of 3359, 1391 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3359, 1391 using Euclid's Algorithm?
Answer: For arbitrary numbers 3359, 1391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.