Highest Common Factor of 3419, 5945 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 3419, 5945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3419, 5945 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 3419, 5945 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 3419, 5945 is 1.
HCF(3419, 5945) = 1
HCF of 3419, 5945 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3419, 5945 is 1.
Highest Common Factor of 3419,5945 is 1
Step 1: Since 5945 > 3419, we apply the division lemma to 5945 and 3419, to get
5945 = 3419 x 1 + 2526
Step 2: Since the reminder 3419 ≠ 0, we apply division lemma to 2526 and 3419, to get
3419 = 2526 x 1 + 893
Step 3: We consider the new divisor 2526 and the new remainder 893, and apply the division lemma to get
2526 = 893 x 2 + 740
We consider the new divisor 893 and the new remainder 740,and apply the division lemma to get
893 = 740 x 1 + 153
We consider the new divisor 740 and the new remainder 153,and apply the division lemma to get
740 = 153 x 4 + 128
We consider the new divisor 153 and the new remainder 128,and apply the division lemma to get
153 = 128 x 1 + 25
We consider the new divisor 128 and the new remainder 25,and apply the division lemma to get
128 = 25 x 5 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 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 3419 and 5945 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(128,25) = HCF(153,128) = HCF(740,153) = HCF(893,740) = HCF(2526,893) = HCF(3419,2526) = HCF(5945,3419) .
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Frequently Asked Questions on HCF of 3419, 5945 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 3419, 5945?
Answer: HCF of 3419, 5945 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3419, 5945 using Euclid's Algorithm?
Answer: For arbitrary numbers 3419, 5945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
