Highest Common Factor of 458, 278, 555, 543 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 458, 278, 555, 543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 458, 278, 555, 543 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 458, 278, 555, 543 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 458, 278, 555, 543 is 1.
HCF(458, 278, 555, 543) = 1
HCF of 458, 278, 555, 543 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 458, 278, 555, 543 is 1.
Highest Common Factor of 458,278,555,543 is 1
Step 1: Since 458 > 278, we apply the division lemma to 458 and 278, to get
458 = 278 x 1 + 180
Step 2: Since the reminder 278 ≠ 0, we apply division lemma to 180 and 278, to get
278 = 180 x 1 + 98
Step 3: We consider the new divisor 180 and the new remainder 98, and apply the division lemma to get
180 = 98 x 1 + 82
We consider the new divisor 98 and the new remainder 82,and apply the division lemma to get
98 = 82 x 1 + 16
We consider the new divisor 82 and the new remainder 16,and apply the division lemma to get
82 = 16 x 5 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 458 and 278 is 2
Notice that 2 = HCF(16,2) = HCF(82,16) = HCF(98,82) = HCF(180,98) = HCF(278,180) = HCF(458,278) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 555 > 2, we apply the division lemma to 555 and 2, to get
555 = 2 x 277 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 555 is 1
Notice that 1 = HCF(2,1) = HCF(555,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 543 > 1, we apply the division lemma to 543 and 1, to get
543 = 1 x 543 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 543 is 1
Notice that 1 = HCF(543,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 458, 278, 555, 543 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 458, 278, 555, 543?
Answer: HCF of 458, 278, 555, 543 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 458, 278, 555, 543 using Euclid's Algorithm?
Answer: For arbitrary numbers 458, 278, 555, 543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.