Highest Common Factor of 951, 549, 544 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 951, 549, 544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 549, 544 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 951, 549, 544 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 951, 549, 544 is 1.
HCF(951, 549, 544) = 1
HCF of 951, 549, 544 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 951, 549, 544 is 1.
Highest Common Factor of 951,549,544 is 1
Step 1: Since 951 > 549, we apply the division lemma to 951 and 549, to get
951 = 549 x 1 + 402
Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 402 and 549, to get
549 = 402 x 1 + 147
Step 3: We consider the new divisor 402 and the new remainder 147, and apply the division lemma to get
402 = 147 x 2 + 108
We consider the new divisor 147 and the new remainder 108,and apply the division lemma to get
147 = 108 x 1 + 39
We consider the new divisor 108 and the new remainder 39,and apply the division lemma to get
108 = 39 x 2 + 30
We consider the new divisor 39 and the new remainder 30,and apply the division lemma to get
39 = 30 x 1 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 951 and 549 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(39,30) = HCF(108,39) = HCF(147,108) = HCF(402,147) = HCF(549,402) = HCF(951,549) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 544 > 3, we apply the division lemma to 544 and 3, to get
544 = 3 x 181 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 544 is 1
Notice that 1 = HCF(3,1) = HCF(544,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 951, 549, 544 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 951, 549, 544?
Answer: HCF of 951, 549, 544 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 549, 544 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 549, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.