Highest Common Factor of 544, 886, 180 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 544, 886, 180 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 544, 886, 180 is 2 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 544, 886, 180 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 544, 886, 180 is 2.
HCF(544, 886, 180) = 2
HCF of 544, 886, 180 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 544, 886, 180 is 2.
Highest Common Factor of 544,886,180 is 2
Step 1: Since 886 > 544, we apply the division lemma to 886 and 544, to get
886 = 544 x 1 + 342
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 342 and 544, to get
544 = 342 x 1 + 202
Step 3: We consider the new divisor 342 and the new remainder 202, and apply the division lemma to get
342 = 202 x 1 + 140
We consider the new divisor 202 and the new remainder 140,and apply the division lemma to get
202 = 140 x 1 + 62
We consider the new divisor 140 and the new remainder 62,and apply the division lemma to get
140 = 62 x 2 + 16
We consider the new divisor 62 and the new remainder 16,and apply the division lemma to get
62 = 16 x 3 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 544 and 886 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(62,16) = HCF(140,62) = HCF(202,140) = HCF(342,202) = HCF(544,342) = HCF(886,544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 180 > 2, we apply the division lemma to 180 and 2, to get
180 = 2 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 180 is 2
Notice that 2 = HCF(180,2) .
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Frequently Asked Questions on HCF of 544, 886, 180 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 544, 886, 180?
Answer: HCF of 544, 886, 180 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 544, 886, 180 using Euclid's Algorithm?
Answer: For arbitrary numbers 544, 886, 180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.