Highest Common Factor of 5945, 3503, 54040 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 5945, 3503, 54040 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5945, 3503, 54040 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 5945, 3503, 54040 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 5945, 3503, 54040 is 1.
HCF(5945, 3503, 54040) = 1
HCF of 5945, 3503, 54040 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5945, 3503, 54040 is 1.
Highest Common Factor of 5945,3503,54040 is 1
Step 1: Since 5945 > 3503, we apply the division lemma to 5945 and 3503, to get
5945 = 3503 x 1 + 2442
Step 2: Since the reminder 3503 ≠ 0, we apply division lemma to 2442 and 3503, to get
3503 = 2442 x 1 + 1061
Step 3: We consider the new divisor 2442 and the new remainder 1061, and apply the division lemma to get
2442 = 1061 x 2 + 320
We consider the new divisor 1061 and the new remainder 320,and apply the division lemma to get
1061 = 320 x 3 + 101
We consider the new divisor 320 and the new remainder 101,and apply the division lemma to get
320 = 101 x 3 + 17
We consider the new divisor 101 and the new remainder 17,and apply the division lemma to get
101 = 17 x 5 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5945 and 3503 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(101,17) = HCF(320,101) = HCF(1061,320) = HCF(2442,1061) = HCF(3503,2442) = HCF(5945,3503) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54040 > 1, we apply the division lemma to 54040 and 1, to get
54040 = 1 x 54040 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54040 is 1
Notice that 1 = HCF(54040,1) .
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Frequently Asked Questions on HCF of 5945, 3503, 54040 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 5945, 3503, 54040?
Answer: HCF of 5945, 3503, 54040 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5945, 3503, 54040 using Euclid's Algorithm?
Answer: For arbitrary numbers 5945, 3503, 54040 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.