Highest Common Factor of 1707, 2026 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 1707, 2026 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1707, 2026 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 1707, 2026 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 1707, 2026 is 1.
HCF(1707, 2026) = 1
HCF of 1707, 2026 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1707, 2026 is 1.
Highest Common Factor of 1707,2026 is 1
Step 1: Since 2026 > 1707, we apply the division lemma to 2026 and 1707, to get
2026 = 1707 x 1 + 319
Step 2: Since the reminder 1707 ≠ 0, we apply division lemma to 319 and 1707, to get
1707 = 319 x 5 + 112
Step 3: We consider the new divisor 319 and the new remainder 112, and apply the division lemma to get
319 = 112 x 2 + 95
We consider the new divisor 112 and the new remainder 95,and apply the division lemma to get
112 = 95 x 1 + 17
We consider the new divisor 95 and the new remainder 17,and apply the division lemma to get
95 = 17 x 5 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 1707 and 2026 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(95,17) = HCF(112,95) = HCF(319,112) = HCF(1707,319) = HCF(2026,1707) .
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Frequently Asked Questions on HCF of 1707, 2026 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 1707, 2026?
Answer: HCF of 1707, 2026 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1707, 2026 using Euclid's Algorithm?
Answer: For arbitrary numbers 1707, 2026 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.