Highest Common Factor of 2803, 1757 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 2803, 1757 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2803, 1757 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 2803, 1757 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 2803, 1757 is 1.
HCF(2803, 1757) = 1
HCF of 2803, 1757 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2803, 1757 is 1.
Highest Common Factor of 2803,1757 is 1
Step 1: Since 2803 > 1757, we apply the division lemma to 2803 and 1757, to get
2803 = 1757 x 1 + 1046
Step 2: Since the reminder 1757 ≠ 0, we apply division lemma to 1046 and 1757, to get
1757 = 1046 x 1 + 711
Step 3: We consider the new divisor 1046 and the new remainder 711, and apply the division lemma to get
1046 = 711 x 1 + 335
We consider the new divisor 711 and the new remainder 335,and apply the division lemma to get
711 = 335 x 2 + 41
We consider the new divisor 335 and the new remainder 41,and apply the division lemma to get
335 = 41 x 8 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2803 and 1757 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(335,41) = HCF(711,335) = HCF(1046,711) = HCF(1757,1046) = HCF(2803,1757) .
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Frequently Asked Questions on HCF of 2803, 1757 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 2803, 1757?
Answer: HCF of 2803, 1757 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2803, 1757 using Euclid's Algorithm?
Answer: For arbitrary numbers 2803, 1757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.