Highest Common Factor of 2057, 690 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 2057, 690 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2057, 690 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 2057, 690 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 2057, 690 is 1.
HCF(2057, 690) = 1
HCF of 2057, 690 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2057, 690 is 1.
Highest Common Factor of 2057,690 is 1
Step 1: Since 2057 > 690, we apply the division lemma to 2057 and 690, to get
2057 = 690 x 2 + 677
Step 2: Since the reminder 690 ≠ 0, we apply division lemma to 677 and 690, to get
690 = 677 x 1 + 13
Step 3: We consider the new divisor 677 and the new remainder 13, and apply the division lemma to get
677 = 13 x 52 + 1
We consider the new divisor 13 and the new remainder 1, and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2057 and 690 is 1
Notice that 1 = HCF(13,1) = HCF(677,13) = HCF(690,677) = HCF(2057,690) .
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Frequently Asked Questions on HCF of 2057, 690 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 2057, 690?
Answer: HCF of 2057, 690 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2057, 690 using Euclid's Algorithm?
Answer: For arbitrary numbers 2057, 690 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.