Highest Common Factor of 1943, 5585 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 1943, 5585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1943, 5585 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 1943, 5585 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 1943, 5585 is 1.
HCF(1943, 5585) = 1
HCF of 1943, 5585 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1943, 5585 is 1.
Highest Common Factor of 1943,5585 is 1
Step 1: Since 5585 > 1943, we apply the division lemma to 5585 and 1943, to get
5585 = 1943 x 2 + 1699
Step 2: Since the reminder 1943 ≠ 0, we apply division lemma to 1699 and 1943, to get
1943 = 1699 x 1 + 244
Step 3: We consider the new divisor 1699 and the new remainder 244, and apply the division lemma to get
1699 = 244 x 6 + 235
We consider the new divisor 244 and the new remainder 235,and apply the division lemma to get
244 = 235 x 1 + 9
We consider the new divisor 235 and the new remainder 9,and apply the division lemma to get
235 = 9 x 26 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1943 and 5585 is 1
Notice that 1 = HCF(9,1) = HCF(235,9) = HCF(244,235) = HCF(1699,244) = HCF(1943,1699) = HCF(5585,1943) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1943, 5585 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 1943, 5585?
Answer: HCF of 1943, 5585 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1943, 5585 using Euclid's Algorithm?
Answer: For arbitrary numbers 1943, 5585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.