Highest Common Factor of 1695, 3109 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 1695, 3109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1695, 3109 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 1695, 3109 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 1695, 3109 is 1.
HCF(1695, 3109) = 1
HCF of 1695, 3109 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1695, 3109 is 1.
Highest Common Factor of 1695,3109 is 1
Step 1: Since 3109 > 1695, we apply the division lemma to 3109 and 1695, to get
3109 = 1695 x 1 + 1414
Step 2: Since the reminder 1695 ≠ 0, we apply division lemma to 1414 and 1695, to get
1695 = 1414 x 1 + 281
Step 3: We consider the new divisor 1414 and the new remainder 281, and apply the division lemma to get
1414 = 281 x 5 + 9
We consider the new divisor 281 and the new remainder 9,and apply the division lemma to get
281 = 9 x 31 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 1695 and 3109 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(281,9) = HCF(1414,281) = HCF(1695,1414) = HCF(3109,1695) .
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Frequently Asked Questions on HCF of 1695, 3109 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 1695, 3109?
Answer: HCF of 1695, 3109 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1695, 3109 using Euclid's Algorithm?
Answer: For arbitrary numbers 1695, 3109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
