Highest Common Factor of 536, 650, 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 536, 650, 180 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 536, 650, 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 536, 650, 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 536, 650, 180 is 2.
HCF(536, 650, 180) = 2
HCF of 536, 650, 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 536, 650, 180 is 2.
Highest Common Factor of 536,650,180 is 2
Step 1: Since 650 > 536, we apply the division lemma to 650 and 536, to get
650 = 536 x 1 + 114
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 114 and 536, to get
536 = 114 x 4 + 80
Step 3: We consider the new divisor 114 and the new remainder 80, and apply the division lemma to get
114 = 80 x 1 + 34
We consider the new divisor 80 and the new remainder 34,and apply the division lemma to get
80 = 34 x 2 + 12
We consider the new divisor 34 and the new remainder 12,and apply the division lemma to get
34 = 12 x 2 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 536 and 650 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(34,12) = HCF(80,34) = HCF(114,80) = HCF(536,114) = HCF(650,536) .
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 536, 650, 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 536, 650, 180?
Answer: HCF of 536, 650, 180 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 536, 650, 180 using Euclid's Algorithm?
Answer: For arbitrary numbers 536, 650, 180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.