Highest Common Factor of 1696, 3153 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 1696, 3153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1696, 3153 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 1696, 3153 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 1696, 3153 is 1.
HCF(1696, 3153) = 1
HCF of 1696, 3153 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1696, 3153 is 1.
Highest Common Factor of 1696,3153 is 1
Step 1: Since 3153 > 1696, we apply the division lemma to 3153 and 1696, to get
3153 = 1696 x 1 + 1457
Step 2: Since the reminder 1696 ≠ 0, we apply division lemma to 1457 and 1696, to get
1696 = 1457 x 1 + 239
Step 3: We consider the new divisor 1457 and the new remainder 239, and apply the division lemma to get
1457 = 239 x 6 + 23
We consider the new divisor 239 and the new remainder 23,and apply the division lemma to get
239 = 23 x 10 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1696 and 3153 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(239,23) = HCF(1457,239) = HCF(1696,1457) = HCF(3153,1696) .
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Frequently Asked Questions on HCF of 1696, 3153 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 1696, 3153?
Answer: HCF of 1696, 3153 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1696, 3153 using Euclid's Algorithm?
Answer: For arbitrary numbers 1696, 3153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
