Highest Common Factor of 5054, 4551, 17548 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 5054, 4551, 17548 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5054, 4551, 17548 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 5054, 4551, 17548 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 5054, 4551, 17548 is 1.
HCF(5054, 4551, 17548) = 1
HCF of 5054, 4551, 17548 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5054, 4551, 17548 is 1.
Highest Common Factor of 5054,4551,17548 is 1
Step 1: Since 5054 > 4551, we apply the division lemma to 5054 and 4551, to get
5054 = 4551 x 1 + 503
Step 2: Since the reminder 4551 ≠ 0, we apply division lemma to 503 and 4551, to get
4551 = 503 x 9 + 24
Step 3: We consider the new divisor 503 and the new remainder 24, and apply the division lemma to get
503 = 24 x 20 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5054 and 4551 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(503,24) = HCF(4551,503) = HCF(5054,4551) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17548 > 1, we apply the division lemma to 17548 and 1, to get
17548 = 1 x 17548 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17548 is 1
Notice that 1 = HCF(17548,1) .
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Frequently Asked Questions on HCF of 5054, 4551, 17548 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 5054, 4551, 17548?
Answer: HCF of 5054, 4551, 17548 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5054, 4551, 17548 using Euclid's Algorithm?
Answer: For arbitrary numbers 5054, 4551, 17548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.