Highest Common Factor of 4195, 3709 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 4195, 3709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4195, 3709 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 4195, 3709 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 4195, 3709 is 1.
HCF(4195, 3709) = 1
HCF of 4195, 3709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4195, 3709 is 1.
Highest Common Factor of 4195,3709 is 1
Step 1: Since 4195 > 3709, we apply the division lemma to 4195 and 3709, to get
4195 = 3709 x 1 + 486
Step 2: Since the reminder 3709 ≠ 0, we apply division lemma to 486 and 3709, to get
3709 = 486 x 7 + 307
Step 3: We consider the new divisor 486 and the new remainder 307, and apply the division lemma to get
486 = 307 x 1 + 179
We consider the new divisor 307 and the new remainder 179,and apply the division lemma to get
307 = 179 x 1 + 128
We consider the new divisor 179 and the new remainder 128,and apply the division lemma to get
179 = 128 x 1 + 51
We consider the new divisor 128 and the new remainder 51,and apply the division lemma to get
128 = 51 x 2 + 26
We consider the new divisor 51 and the new remainder 26,and apply the division lemma to get
51 = 26 x 1 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4195 and 3709 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(51,26) = HCF(128,51) = HCF(179,128) = HCF(307,179) = HCF(486,307) = HCF(3709,486) = HCF(4195,3709) .
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Frequently Asked Questions on HCF of 4195, 3709 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 4195, 3709?
Answer: HCF of 4195, 3709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4195, 3709 using Euclid's Algorithm?
Answer: For arbitrary numbers 4195, 3709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
