Highest Common Factor of 1049, 1741 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 1049, 1741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1049, 1741 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 1049, 1741 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 1049, 1741 is 1.
HCF(1049, 1741) = 1
HCF of 1049, 1741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1049, 1741 is 1.
Highest Common Factor of 1049,1741 is 1
Step 1: Since 1741 > 1049, we apply the division lemma to 1741 and 1049, to get
1741 = 1049 x 1 + 692
Step 2: Since the reminder 1049 ≠ 0, we apply division lemma to 692 and 1049, to get
1049 = 692 x 1 + 357
Step 3: We consider the new divisor 692 and the new remainder 357, and apply the division lemma to get
692 = 357 x 1 + 335
We consider the new divisor 357 and the new remainder 335,and apply the division lemma to get
357 = 335 x 1 + 22
We consider the new divisor 335 and the new remainder 22,and apply the division lemma to get
335 = 22 x 15 + 5
We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get
22 = 5 x 4 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1049 and 1741 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(335,22) = HCF(357,335) = HCF(692,357) = HCF(1049,692) = HCF(1741,1049) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1049, 1741 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 1049, 1741?
Answer: HCF of 1049, 1741 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1049, 1741 using Euclid's Algorithm?
Answer: For arbitrary numbers 1049, 1741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.