Highest Common Factor of 549, 879, 738 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 549, 879, 738 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 549, 879, 738 is 3 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 549, 879, 738 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 549, 879, 738 is 3.
HCF(549, 879, 738) = 3
HCF of 549, 879, 738 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 549, 879, 738 is 3.
Highest Common Factor of 549,879,738 is 3
Step 1: Since 879 > 549, we apply the division lemma to 879 and 549, to get
879 = 549 x 1 + 330
Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 330 and 549, to get
549 = 330 x 1 + 219
Step 3: We consider the new divisor 330 and the new remainder 219, and apply the division lemma to get
330 = 219 x 1 + 111
We consider the new divisor 219 and the new remainder 111,and apply the division lemma to get
219 = 111 x 1 + 108
We consider the new divisor 111 and the new remainder 108,and apply the division lemma to get
111 = 108 x 1 + 3
We consider the new divisor 108 and the new remainder 3,and apply the division lemma to get
108 = 3 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 549 and 879 is 3
Notice that 3 = HCF(108,3) = HCF(111,108) = HCF(219,111) = HCF(330,219) = HCF(549,330) = HCF(879,549) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 738 > 3, we apply the division lemma to 738 and 3, to get
738 = 3 x 246 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 738 is 3
Notice that 3 = HCF(738,3) .
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Frequently Asked Questions on HCF of 549, 879, 738 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 549, 879, 738?
Answer: HCF of 549, 879, 738 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 549, 879, 738 using Euclid's Algorithm?
Answer: For arbitrary numbers 549, 879, 738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.