Highest Common Factor of 1563, 2737 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 1563, 2737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1563, 2737 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 1563, 2737 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 1563, 2737 is 1.
HCF(1563, 2737) = 1
HCF of 1563, 2737 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1563, 2737 is 1.
Highest Common Factor of 1563,2737 is 1
Step 1: Since 2737 > 1563, we apply the division lemma to 2737 and 1563, to get
2737 = 1563 x 1 + 1174
Step 2: Since the reminder 1563 ≠ 0, we apply division lemma to 1174 and 1563, to get
1563 = 1174 x 1 + 389
Step 3: We consider the new divisor 1174 and the new remainder 389, and apply the division lemma to get
1174 = 389 x 3 + 7
We consider the new divisor 389 and the new remainder 7,and apply the division lemma to get
389 = 7 x 55 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 1563 and 2737 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(389,7) = HCF(1174,389) = HCF(1563,1174) = HCF(2737,1563) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1563, 2737 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 1563, 2737?
Answer: HCF of 1563, 2737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1563, 2737 using Euclid's Algorithm?
Answer: For arbitrary numbers 1563, 2737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
