Highest Common Factor of 546, 879 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 546, 879 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 546, 879 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 546, 879 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 546, 879 is 3.
HCF(546, 879) = 3
HCF of 546, 879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 546, 879 is 3.
Highest Common Factor of 546,879 is 3
Step 1: Since 879 > 546, we apply the division lemma to 879 and 546, to get
879 = 546 x 1 + 333
Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 333 and 546, to get
546 = 333 x 1 + 213
Step 3: We consider the new divisor 333 and the new remainder 213, and apply the division lemma to get
333 = 213 x 1 + 120
We consider the new divisor 213 and the new remainder 120,and apply the division lemma to get
213 = 120 x 1 + 93
We consider the new divisor 120 and the new remainder 93,and apply the division lemma to get
120 = 93 x 1 + 27
We consider the new divisor 93 and the new remainder 27,and apply the division lemma to get
93 = 27 x 3 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 546 and 879 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(93,27) = HCF(120,93) = HCF(213,120) = HCF(333,213) = HCF(546,333) = HCF(879,546) .
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Frequently Asked Questions on HCF of 546, 879 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 546, 879?
Answer: HCF of 546, 879 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 546, 879 using Euclid's Algorithm?
Answer: For arbitrary numbers 546, 879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.