Highest Common Factor of 908, 545, 554 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 908, 545, 554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 545, 554 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 908, 545, 554 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 908, 545, 554 is 1.
HCF(908, 545, 554) = 1
HCF of 908, 545, 554 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 908, 545, 554 is 1.
Highest Common Factor of 908,545,554 is 1
Step 1: Since 908 > 545, we apply the division lemma to 908 and 545, to get
908 = 545 x 1 + 363
Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 363 and 545, to get
545 = 363 x 1 + 182
Step 3: We consider the new divisor 363 and the new remainder 182, and apply the division lemma to get
363 = 182 x 1 + 181
We consider the new divisor 182 and the new remainder 181,and apply the division lemma to get
182 = 181 x 1 + 1
We consider the new divisor 181 and the new remainder 1,and apply the division lemma to get
181 = 1 x 181 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 908 and 545 is 1
Notice that 1 = HCF(181,1) = HCF(182,181) = HCF(363,182) = HCF(545,363) = HCF(908,545) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 554 > 1, we apply the division lemma to 554 and 1, to get
554 = 1 x 554 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 554 is 1
Notice that 1 = HCF(554,1) .
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Frequently Asked Questions on HCF of 908, 545, 554 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 908, 545, 554?
Answer: HCF of 908, 545, 554 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 545, 554 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 545, 554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.