Highest Common Factor of 1697, 1930 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 1697, 1930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1697, 1930 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 1697, 1930 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 1697, 1930 is 1.
HCF(1697, 1930) = 1
HCF of 1697, 1930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1697, 1930 is 1.
Highest Common Factor of 1697,1930 is 1
Step 1: Since 1930 > 1697, we apply the division lemma to 1930 and 1697, to get
1930 = 1697 x 1 + 233
Step 2: Since the reminder 1697 ≠ 0, we apply division lemma to 233 and 1697, to get
1697 = 233 x 7 + 66
Step 3: We consider the new divisor 233 and the new remainder 66, and apply the division lemma to get
233 = 66 x 3 + 35
We consider the new divisor 66 and the new remainder 35,and apply the division lemma to get
66 = 35 x 1 + 31
We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get
35 = 31 x 1 + 4
We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get
31 = 4 x 7 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 1697 and 1930 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(66,35) = HCF(233,66) = HCF(1697,233) = HCF(1930,1697) .
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Frequently Asked Questions on HCF of 1697, 1930 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 1697, 1930?
Answer: HCF of 1697, 1930 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1697, 1930 using Euclid's Algorithm?
Answer: For arbitrary numbers 1697, 1930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.